American Axle & Manufacturing v. Neapco Holdings LLC ( 2019 )


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  •   United States Court of Appeals
    for the Federal Circuit
    ______________________
    AMERICAN AXLE & MANUFACTURING, INC.,
    Plaintiff-Appellant
    v.
    NEAPCO HOLDINGS LLC, NEAPCO DRIVELINES
    LLC,
    Defendants-Appellees
    ______________________
    2018-1763
    ______________________
    Appeal from the United States District Court for the
    District of Delaware in No. 1:15-cv-01168-LPS, Chief Judge
    Leonard P. Stark.
    ______________________
    Decided: October 3, 2019
    ______________________
    JAMES RICHARD NUTTALL, Steptoe & Johnson, LLP,
    Chicago, IL, argued for plaintiff-appellant. Also repre-
    sented by JOHN LLOYD ABRAMIC, KATHERINE H. JOHNSON,
    ROBERT KAPPERS.
    DENNIS J. ABDELNOUR, Honigman LLP, Chicago, IL, ar-
    gued for defendants-appellees. Also represented by J.
    MICHAEL HUGET, SARAH E. WAIDELICH, Ann Arbor, MI.
    SCOTT A. M. CHAMBERS, Porzio, Bromberg & Newman,
    2        AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS
    PC, Washington, DC, for amici curiae Christopher Frerk-
    ing, Christopher Michael Holman, David Lund, Walter
    Matystik, Adam Mossoff, Kristen J. Osenga, Michael
    Risch, Mark F. Schultz, Ted M. Sichelman, Brenda M. Si-
    mon, Jonathan Stroud, David O. Taylor. Also represented
    by MATTHEW ZAPADKA, Bass, Berry & Sims, PLC, Washing-
    ton, DC.
    ______________________
    Before DYK, MOORE, and TARANTO, Circuit Judges.
    Opinion for the court filed by Circuit Judge DYK.
    Dissenting opinion filed by Circuit Judge MOORE.
    DYK, Circuit Judge.
    American Axle & Manufacturing, Inc. (“AAM”) sued
    Neapco Holdings LLC and Neapco Drivelines LLC (collec-
    tively, “Neapco”) alleging infringement of claims of U.S. Pa-
    tent No. 7,774,911 (“the ’911 patent”). 1 The parties filed
    cross-motions for summary judgment as to the eligibility of
    the asserted claims of the ’911 patent under 35 U.S.C.
    § 101. The district court granted Neapco’s motion and held
    that the asserted claims are ineligible under § 101. We
    agree and therefore affirm.
    1   AAM’s complaint alleged infringement of two other
    patents—U.S. Patent Nos. 8,176,613 (“the ’613 patent”)
    and 8,528,180 (“the ’180 patent”). During claim construc-
    tion, the district court held the asserted claims of the ’613
    patent indefinite. Neapco Mot. for Summary Judgment at
    3, American Axle & Manuf., Inc. v. Neapco Hldgs. LLC, No.
    15-01168 (D. Del. Aug. 11, 2017), ECF No. 150. AAM also
    dropped the asserted claims of the ’180 patent. 
    Id. Neither the
    ’613 nor the ’180 patent is at issue on appeal.
    AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS              3
    BACKGROUND
    I
    The ’911 patent generally relates to a method for man-
    ufacturing driveline propeller shafts (“propshafts”) with
    liners that are designed to “attenuat[e] . . . vibrations
    transmitted through a shaft assembly.” ’911 patent, col. 1,
    ll. 6–7. Propshafts are “employed [in automotive vehicles]
    to transmit rotary power in a driveline.” 
    Id. col. 1,
    ll. 38–
    39. Because these propshafts are typically made of a “rel-
    atively thin-walled steel or aluminum tubing [they] can be
    receptive to various driveline excitation sources.” 
    Id. col. 1,
    ll. 40–42. These excitation sources, in turn, can cause
    the propshaft to vibrate in three modes: bending mode,
    torsion mode, and shell mode. 
    Id. col. 1,
    ll. 42–44. The ’911
    patent describes these vibration modes as follows:
    Bending mode vibration is a phenomenon wherein
    energy is transmitted longitudinally along the
    shaft and causes the shaft to bend at one or more
    locations. Torsion mode vibration is a phenomenon
    wherein energy is transmitted tangentially
    through the shaft and causes the shaft to twist.
    Shell mode vibration is a phenomenon wherein a
    standing wave is transmitted circumferentially
    about the shaft and causes the cross-section of the
    shaft to deflect or bend along one or more axes.
    
    Id. col. 1,
    ll. 44–52. These vibration modes correspond to
    different frequencies. Because such vibrations cause unde-
    sirable noise, “techniques [had, prior to the ’911 patent,]
    been employed to attenuate vibrations in propshafts in-
    cluding the use of weights and liners.” 
    Id. col. 1,
    ll. 53–54.
    One prior art method of attenuation involved the use of
    liners. Liners are hollow tubes made of a fibrous material
    (like cardboard) with outer resilient members that “fric-
    tionally engage the inner diameter of the [propshaft].” 
    Id. col. 6,
    ll. 56–65. Liners, like propshafts, vibrate at different
    4     AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS
    frequencies, and depending on the frequencies at which
    they vibrate, may damp the vibration of the propshaft into
    which they are inserted. When certain variables related to
    the liner are changed (i.e., when the liner is “tuned”), the
    frequencies at which that liner vibrates, and therefore the
    liner’s ability to damp the vibration of that propshaft,
    changes. See, e.g., 
    id. col. 7–8.
    It was known in the prior
    art to alter the mass and stiffness of liners to alter their
    frequencies to produce dampening. Indeed, this was suffi-
    ciently well known that prior art patents disclosed the use
    of particular materials to achieve dampening. See, e.g., 
    id. col. 2,
    lines 5–37.
    Other prior art methods of dampening also existed, in-
    cluding the use of weights. For example, the ’911 patent
    describes plugs or weights that are inserted to frictionally
    engage a propshaft and act as resistive attenuation means
    to damp bending mode vibrations. 
    Id. col. 1,
    line 53–col. 2,
    l. 4. The patent also discloses a prior art damper that is
    inserted into a hollow shaft and frictionally engages the in-
    side of the shaft by using a pair of resilient members. 
    Id. col. 2,
    ll. 5–10.
    Two types of attenuation are relevant here: resistive
    attenuation and reactive attenuation. “[R]esistive attenu-
    ation of vibration refers to a vibration attenuation means
    that deforms as vibration energy is transmitted through
    it . . . so that the vibration attenuation means absorbs . . .
    the vibration energy.” 
    Id. col. 1,
    ll. 61–65. A liner that is
    properly tuned to attenuate shell mode vibration through
    resistive attenuation “matches” the shell mode vibration
    (i.e., a particular natural frequency) of the propshaft such
    that it absorbs the shell mode vibration of the propshaft.
    J.A. 2000–02. “[R]eactive attenuation of vibration refers to
    a mechanism that can oscillate in opposition to the vibra-
    tion energy [of the propshaft] to thereby ‘cancel out’ a por-
    tion of the vibration energy.” ’911 patent, col. 2, ll. 15–18.
    Thus, to design a liner to perform reactive attenuation of a
    bending mode vibration “the liner frequency must match
    AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS          5
    the propshaft frequency and involve translation of the liner
    to effectively couple with the propshaft bending mode.”
    AAM Op. Br. 6 (citing J.A. 2076–77, 4036–37, 5218).
    The district court treated independent claims 1 and 22
    of the ’911 patent as representative of the asserted claims
    (claims 1–6, 12, 13, 19–24, 26, 27, 31, 34–36). Those two
    claims recite:
    1. A method for manufacturing a shaft assembly of
    a driveline system, the driveline system further in-
    cluding a first driveline component and a second
    driveline component, the shaft assembly being
    adapted to transmit torque between the first
    driveline component and the second driveline com-
    ponent, the method comprising:
    providing a hollow shaft member;
    tuning at least one liner to attenuate at least two
    types of vibration transmitted through the shaft
    member; and
    positioning the at least one liner within the shaft
    member such that the at least one liner is config-
    ured to damp shell mode vibrations in the shaft
    member by an amount that is greater than or equal
    to about 2%, and the at least one liner is also con-
    figured to damp bending mode vibrations in the
    shaft member, the at least one liner being tuned to
    within about ±20% of a bending mode natural fre-
    quency of the shaft assembly as installed in the
    driveline system.
    *   *   *
    22. A method for manufacturing a shaft assembly
    of a driveline system, the driveline system further
    including a first driveline component and a second
    driveline component, the shaft assembly being
    adapted to transmit torque between the first
    6      AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS
    driveline component and the second driveline com-
    ponent, the method comprising:
    providing a hollow shaft member;
    tuning a mass and a stiffness of at least one liner,
    and
    inserting the at least one liner into the shaft mem-
    ber;
    wherein the at least one liner is a tuned resistive
    absorber for attenuating shell mode vibrations and
    wherein the at least one liner is a tuned reactive
    absorber for attenuating bending mode vibrations.
    ’911 patent, col. 10, ll. 10–27; 
    id. col. 11,
    ll. 24–36 (empha-
    ses added). The district court construed the term tuning to
    mean “controlling the mass and stiffness of at least one
    liner to configure the liner to match the relevant frequency
    or frequencies.” J.A. 15. No party contests the district
    court’s construction on appeal.
    According to the ’911 patent’s specification, prior art
    liners, weights, and dampers that were designed to individ-
    ually attenuate each of the three propshaft vibration
    modes—bending, shell, and torsion—already existed. ’911
    patent, col. 1, l. 53–col. 2, l. 38. But these prior art damping
    methods were assertedly not suitable for attenuating two
    vibration modes simultaneously. See 
    id. Thus, the
    patent
    identified “a need in the art for an improved method for
    damping various types of vibrations in a hollow shaft” that
    “facilitates the damping of shell mode vibration as well as
    the damping of bending mode vibration” simultaneously.
    
    Id. col. 2,
    ll. 39–43. AAM argues that the inventive concept
    to which these claims are directed is the tuning of a liner
    in order to produce frequencies that dampen both the shell
    mode and bending mode vibrations simultaneously.
    AAM urges both that it “conceiv[ed] of the novel and
    unconventional concept of ‘tuning’ a liner,” and that it
    AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS            7
    conceived of a tuned liner that “unlike previous dampers
    and absorbers . . . [can] dampen multiple types of vibra-
    tion” simultaneously. AAM Op. Br. 13. AAM explains that
    “particular liners that are specifically tuned to match and
    damp multiple vibration modes and are utilized to manu-
    facture improved propshafts . . . w[ere] entirely new and
    far from well-understood” at the time of the ’911 patent.
    AAM Op. Br. 27. Neither the claims nor the specification
    describes how to achieve such tuning. The specification
    also discloses a solitary example describing the structure
    of a tuned liner, but does not discuss the process by which
    that liner was tuned. ’911 patent, col. 8, ll. 4–23.
    II
    AAM sued Neapco on December 18, 2015, alleging in-
    fringement of the ’911 patent. The parties filed cross-mo-
    tions for summary judgment as to patent eligibility under
    § 101. On February 27, 2018, the district court granted
    Neapco’s motion for summary judgment, and denied AAM’s
    cross-motion, holding that the asserted claims of the ’911
    patent were invalid because they claim ineligible subject
    matter under § 101.
    The district court concluded that “the Asserted Claims
    as a whole are directed to laws of nature: Hooke’s law and
    friction damping.” J.A. 10. The district court held that the
    claims’ direction to tune a liner to attenuate to different
    vibration modes amounted to merely “instruct[ing] one to
    apply Hooke’s law to achieve the desired result of attenu-
    ating certain vibration modes and frequencies” without
    “provid[ing] [a] particular means of how to craft the liner
    and propshaft in order to do so.” J.A. 17. Hooke’s law is an
    equation that describes the relationship between an ob-
    ject’s mass, its stiffness, and the frequency at which the ob-
    ject vibrates. Friction damping is damping that “occur[s]
    due to the resistive friction and interaction of two surfaces
    that press against each other as a source of energy dissipa-
    tion.” J.A. 1604. Because the district court determined
    8     AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS
    that the claimed “additional steps consist of well-under-
    stood, routine, conventional activity already engaged in by
    the scientific community . . . and those steps, when viewed
    as a whole, add nothing significant beyond the sum of their
    parts taken separately,” it concluded that the claims were
    not patent eligible. J.A. 16 (quoting Mayo Collaborative
    Servs. v. Prometheus Labs., Inc., 
    566 U.S. 66
    , 79–80
    (2012)).
    AAM appeals. We have jurisdiction under 28 U.S.C.
    § 1291. We review a district court’s grant of summary
    judgement de novo, applying the same test on review that
    the district court applied. Summary judgment is appropri-
    ate where “there is no genuine dispute as to any material
    fact and the movant is entitled to judgment as a matter of
    law.” Fed. R. Civ. P. 56(a). The issue of patent eligibility
    under § 101 is a question of law, reviewed de novo. In re
    BRCA1– and BRCA2– Based Hereditary Cancer Test Pa-
    tent Litig., 
    774 F.3d 755
    , 759 (Fed. Cir. 2014). “While pa-
    tent eligibility is ultimately a question of law,” the
    underlying issue of “[w]hether something is well-under-
    stood, routine, and conventional to a skilled artisan at the
    time of the patent is a factual determination.” Berkheimer
    v. HP Inc., 
    881 F.3d 1360
    , 1369 (Fed. Cir. 2018).
    DISCUSSION
    Section 101 provides that “any new and useful process,
    machine, manufacture, or composition of matter, or any
    new and useful improvement thereof” may be eligible to ob-
    tain a patent. 35 U.S.C. § 101. But the Supreme Court has
    long recognized that § 101 “contains an important implicit
    exception: Laws of nature, natural phenomena, and ab-
    stract ideas are not patentable.” Ass’n for Molecular Pa-
    thology v. Myriad Genetics, Inc., 
    569 U.S. 576
    , 589 (2013)
    (brackets omitted) (quoting 
    Mayo, 566 U.S. at 70
    ). The Su-
    preme Court has stated that “without this exception, there
    would be considerable danger that the grant of patents
    would ‘tie up’ the use of such tools and thereby ‘inhibit
    AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS            9
    future innovation premised upon them.’”         
    Id. (quoting Mayo,
    566 U.S. at 73).
    Our analysis of § 101 follows the Supreme Court’s two-
    step test established in Mayo and Alice Corp. Pty. Ltd. v.
    CLS Bank International, 
    573 U.S. 208
    (2014). At step one
    of the Mayo/Alice test, we ask whether the claims are di-
    rected to a law of nature, natural phenomenon, or abstract
    idea. 
    Alice, 573 U.S. at 217
    (citing 
    Mayo, 566 U.S. at 77
    ).
    If the claims are so directed, we then ask whether the
    claims embody some “inventive concept”—i.e., whether the
    claims contain “an element or combination of elements that
    is ‘sufficient to ensure that the patent in practice amounts
    to significantly more than a patent upon the ineligible con-
    cept itself.’” 
    Id. at 217–18
    (brackets omitted) (quoting
    
    Mayo, 566 U.S. at 72
    –73).
    I
    To determine what the claims are “directed to” at step
    one, we look to the “focus of the claimed advance.” See, e.g.,
    Trading Techs Int’l, Inc. v. IBG LLC, 
    921 F.3d 1378
    , 1384
    (Fed. Cir. 2019). 2 There is no legal principle that a claim
    to a method of manufacturing cannot be directed to a nat-
    ural law, nor are there any cases saying so. The ’911 patent
    discloses a method of manufacturing a driveline propshaft
    containing a liner designed such that its frequencies atten-
    uate two modes of vibration simultaneously.
    2   Accord Intellectual Ventures I LLC v. Capital One
    Fin. Corp., 
    850 F.3d 1332
    , 1338 (Fed. Cir. 2017); Intellec-
    tual Ventures I LLC v. Erie Indemnity Co., 
    850 F.3d 1315
    ,
    1325 (Fed. Cir. 2017); Affinity Labs of Tex., LLC v.
    DIRECTV, LLC, 
    838 F.3d 1253
    , 1257–58 (Fed. Cir. 2016);
    Enfish, LLC v. Microsoft Corp., 
    822 F.3d 1327
    , 1335 (Fed.
    Cir. 2016); Genetic Techs. Ltd. v. Merial LLC, 
    818 F.3d 1369
    , 1375–76 (Fed. Cir. 2016).
    10     AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS
    The claims are directed to tuning liners—i.e., “control-
    ling a mass and stiffness of at least one liner to configure
    the liner to match the relevant frequency or frequencies.”
    J.A. 15. As is clear from the specification itself, most as-
    pects of the ’911 patent were well known in the art. It was
    known that driveline propshafts were prone to bending,
    shell, and torsion mode vibrations. ’911 patent, col. 1, ll.
    38–52. It was known that shell mode vibrations could be
    damped by resistive attenuation and that bending mode vi-
    brations could be damped by reactive attenuation. 
    Id. col. 1,
    l. 53–col. 2, l. 38. It was also known that a liner or weight
    could be designed specifically to have a frequency that
    would allow it to function as either a resistive attenuation
    means or as a reactive attenuation means. 
    Id. AAM does
    not dispute that these features were known in the art.
    AAM agrees that the selection of frequencies for the liners
    to damp the vibrations of the propshaft at least in part in-
    volves an application of Hooke’s law.
    Hooke’s law is a natural law that mathematically re-
    lates the mass and/or stiffness of an object to the frequency
    with which that object oscillates (vibrates). Here, both par-
    ties’ witnesses agree that Hooke’s law undergirds the de-
    sign of a liner so that it exhibits a desired damping
    frequency pursuant to the claimed invention. For example,
    Neapco’s expert, Dr. Becker, stated that the tuning limita-
    tions claim “nothing more than Hooke’s law . . . [and/or] the
    law of nature / natural phenomenon for friction damping.”
    J.A. 1603–05. Dr. Sun, one of the named inventors of the
    ’911 patent, stated in his deposition:
    Q. But to change the frequency of any damper, it
    comes down to basic physics, doesn’t it; changing
    the mass or the stiffness of that damper that will
    adjust the frequency?
    A. You change a tuned liner, yeah, by adjusting the
    controlling variables and to get to the tuning that
    is needed.
    AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS           11
    Q. And one of those variables is stiffness, correct?
    A. Correct.
    Q. And one of them is the mass, correct?
    A. Yes.
    J.A. 1757 (92:15–25). AAM’s engineering manager like-
    wise admitted that “if [one] do[es] something to control the
    stiffness [or mass]” of a liner—the variables directly impli-
    cated by Hooke’s law—that person is “directly controlling
    tuning.” J.A. 2547 (20:23–21:1). At the same time, the pa-
    tent claims do not describe a specific method for applying
    Hooke’s law in this context. They simply state that the
    liner should be tuned to dampen certain vibrations. Thus,
    the problem is that the claims’ instruction to tune a liner
    essentially amounts to the sort of directive prohibited by
    the Supreme Court in Mayo—i.e. “simply stat[ing] a law of
    nature while adding the words ‘apply 
    it.’” 566 U.S. at 72
    .
    But AAM argues that the claims are not merely di-
    rected to Hooke’s law. AAM points to testimony suggesting
    that tuning a liner such that it attenuates two different vi-
    bration modes is a process that involves more than simple
    application of Hooke’s law. For example, AAM’s expert, Dr.
    Rahn, testified that a “liner is not a spring with a single
    stiffness, it is a complex, distributed object with different
    stiffnesses in different directions (e.g., shell and bending)
    that depend on the location of the applied force and the
    measured displacement.” J.A. 1928. Dr. Rahn in numer-
    ous instances explained that liners are different from a sin-
    gle spring–mass system as they “can bounce, they can rock,
    they can deform, [and] they can bend.” J.A. 2505 (137:2–
    4). In essence, AAM’s argument is that the system of the
    invention (a driveline propshaft and its liner) is too com-
    plex to be described by mere application of Hooke’s law,
    which itself is a simple approximation of a single-degree-
    of-freedom spring–mass system. AAM also appears to
    12       AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS
    argue that liners had not previously been used to dampen
    bending mode—as opposed to shell mode—vibrations. 3
    3   Contrary to the dissent at 6–7, the majority does
    not assert that this point was not disputed on appeal. Alt-
    hough raised on appeal, this argument by AAM was not
    properly raised below. In the district court, AAM did not
    make this claim in arguing for § 101 eligibility in any of its
    relevant summary judgment filings—its motion for sum-
    mary judgment in its favor, its reply in support of that mo-
    tion, or its opposition to Neapco’s motion for summary
    judgment. See J.A. 4330–36, 5236–37, 6094–96; see also
    J.A. 6194, 7049 (supplemental summary judgment brief-
    ings). Instead, in those filings, AAM identified as an in-
    ventive concept only the idea of dual-mode dampening we
    have identified. See J.A. 4330–36, 5236–37, 6094–96,
    6194. Only at the oral hearing on summary judgment, af-
    ter the papers that defined the issue were complete, did
    AAM make this claim—in passing in one sentence, before
    immediately invoking the dual-mode dampening notion as
    the inventive concept. J.A. 7193–94.
    And the argument is not supported by the patent spec-
    ification. While noting that certain prior art liners
    (“[t]hese liners” referenced at col. 2, lines 23–38 of the ’911
    patent) did not dampen bending mode vibrations, no sug-
    gestion that prior art liners generally did not attenuate
    bending mode vibrations appears in the patent specifica-
    tion; and the specification notes that “the damper of the
    [1963] ’406 patent appears to be a reactive damper for at-
    tenuating bending mode vibration.” ’911 patent, col. 2,
    lines 13–15 (citing U.S. Patent No. 3,075,406). The ’911
    specification makes clear that this damper is a “liner” by
    incorporating the ’361 patent “as if fully set forth in its en-
    tirety.” ’911 patent, col. 6, lines 49–53. The incorporated
    AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS           13
    The problem with AAM’s argument is that the solution
    to these desired results is not claimed in the patent. We
    have repeatedly held that features that are not claimed are
    irrelevant as to step 1 or step 2 of the Mayo/Alice analysis.
    
    Alice, 573 U.S. at 221
    (“[W]e must examine the elements of
    the claim to determine whether it contains an ‘inventive
    concept.’” (emphasis added)); Synopsis, Inc. v. Mentor
    Graphics Corp., 
    839 F.3d 1138
    , 1149 (Fed. Cir. 2016) (“The
    § 101 inquiry must focus on the language of the Asserted
    Claims themselves.”); Ariosa Diagnostics, Inc. v. Se-
    quenom, Inc., 
    788 F.3d 1371
    , 1379 (Fed. Cir. 2015) (reject-
    ing alleged inventive concept because it was “not the
    invention claimed by the . . . patent” (emphasis added)); see
    also Ariosa Diagnostics, Inc. v. Sequenom, Inc., 
    809 F.3d 1282
    , 1286 (Fed. Cir. 2015) (Lourie, J., concurring) (noting
    that the appropriate focus is “on the claims we have rather
    than those we might have had” (emphasis added)).
    The elements of the method here that AAM argues take
    the patent outside the realm of ineligible subject matter—
    ’361 patent states: “Various kinds of vibration dampers
    have been proposed heretofore. Typical of such dampers
    are      the     liners      disclosed   in    U.S.    Patent
    No[]. . . 3,075,406 . . . .” U.S. Patent No. 4,909,361, col. 1,
    lines 16–18. Moreover, AAM’s own testing data shows that
    prior art liners did in fact dampen bending mode vibra-
    tions, as admitted by Dr. Sun, one of the named inventors
    of the ’911 patent. Patentee’s technical expert suggested
    that certain types of liners have not previously been used
    to significantly dampen specific modes of vibration. Yet the
    representative claims are not limited to any type of liner or
    the dampening of specific bending modes. In any case, it
    makes no difference to the section 101 analysis whether the
    use of liners to attenuate bending mode vibrations was
    known in the prior art.
    14       AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS
    i.e., the mechanisms for achieving the desired result—are
    not actually claimed in claim 1 or claim 22 of the patent.
    To be sure, as AAM indicates in its brief, the process of tun-
    ing a liner may involve extensive computer modelling and
    experimental modal analysis, a process utilized in the prior
    art. But even the patent specification recites only a nonex-
    clusive list of variables that can be altered to change the
    frequencies exhibited by a liner and a solitary example of a
    tuned liner (though not the process by which that liner was
    tuned). 4 Most significantly, the claims do not instruct how
    the variables would need to be changed to produce the mul-
    tiple frequencies required to achieve a dual-damping re-
    sult, or to tune a liner to dampen bending mode vibrations.
    The trial-and-error process for determining the desired
    frequencies was well-known. AAM makes clear in its open-
    ing brief that “methods for determining natural
    4  The patent discloses a nonexclusive list of variables
    related to a liner that can be altered to change the frequen-
    cies exhibited by the liner so that the liner attenuates cer-
    tain vibration modes of the propshaft. These variables
    include:
    mass, length and outer diameter of the liner 204,
    diameter and wall thickness of the structural por-
    tion 300, material of which the structural portion
    300 was fabricated, the quantity of resilient mem-
    bers 302, the material of which the resilient mem-
    bers 302 was fabricated, the helix angle 330 and
    pitch 332 with which the resilient member 302 are
    fixed to the structural portion 300, the configura-
    tion of the lip member(s) 322 of the resilient mem-
    ber 302, and the location of the liners 204 within
    the shaft member 200.
    ’911 patent, col. 7, l. 60–col. 8, l. 2.
    AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS           15
    frequencies and damping are well known in the art,” in-
    cluding “testing for natural frequencies and damping of
    propshafts by performing experimental modal analysis.”
    AAM Op. Br. 8–11. While AAM may have discovered pa-
    tentable refinements of this process, such as “us[ing] so-
    phisticated FEA [finite element analysis] models during its
    design process,” 
    id. at 45,
    neither the specifics of any novel
    computer modelling nor experimental modal analysis are
    disclosed in the patent, much less included in the claims
    themselves, and these unclaimed features cannot function
    to remove claims 1 and 22 from the realm of ineligible sub-
    ject matter. See 
    ChargePoint, 920 F.3d at 766
    . This case
    might well be significantly different, if, for example, spe-
    cific FEA models were included in the claims. But, the
    claims’ general instruction to tune a liner amounts to no
    more than a directive to use one’s knowledge of Hooke’s
    law, and possibly other natural laws, to engage in an ad
    hoc trial-and-error process of changing the characteristics
    of a liner until a desired result is achieved.
    The claiming of a natural law runs headlong into the
    very problem repeatedly identified by the Supreme Court
    in its cases shaping our eligibility analysis. See 
    Mayo, 566 U.S. at 71
    –73; Parker v. Flook, 
    437 U.S. 584
    , 590–95 (1978);
    Mackay Radio & Telegraph Co. v. Radio Corp. of Am., 
    306 U.S. 86
    , 94–101 (1939); O’Reilly v. Morse, 56 U.S. (15 How.)
    62, 112–17 (1854). As the Supreme Court stated in Le Roy
    v. Tatham, 55 U.S. (14 How.) 156, 174–75 (1853), “[a] pa-
    tent is not good for an effect, or the result of a certain pro-
    cess, as that would prohibit all other persons from making
    the same thing by any means whatsoever.” The same ap-
    proach is embodied by this court’s case law. 5
    5   See e.g., ChargePoint, Inc. v. SemaConnect, Inc.,
    
    920 F.3d 759
    , 769–70 (Fed. Cir. 2019) (finding claims di-
    rected to abstract idea where broad claim language “would
    16     AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS
    This distinction between results and means is funda-
    mental to the step 1 eligibility analysis, including in law-
    of-nature cases, not just abstract-idea cases. See Diamond
    v. Diehr, 
    450 U.S. 175
    , 191 (1981) (“We recognize, of course,
    that when a claim recites a mathematical formula (or sci-
    entific principle or phenomenon of nature), an inquiry must
    be made into whether the claim is seeking patent protec-
    tion for that formula in the abstract.” (emphasis added)).
    In Interval Licensing, we reiterated the importance of this
    distinction in describing prior Supreme Court cases in
    which inventors “lost . . . claim[s] that encompassed all so-
    lutions for achieving a desired result” because “the claims
    cover any mechanism for implementing network communi-
    cation on a charging station” rather than a specific way of
    doing so); Interval Licensing LLC v. AOL, Inc., 
    896 F.3d 1335
    , 1345–46 (Fed. Cir. 2018) (claims ineligible “because
    they consist of generic and conventional information acqui-
    sition and organization steps that are connected to, but do
    not convert, the abstract idea . . . into a particular concep-
    tion of how to carry out that concept” (emphasis added));
    Electric Power Grp., LLC v. Alstom S.A., 
    830 F.3d 1350
    ,
    1355–56 (Fed. Cir. 2016); see also Innovation Sci., LLC v.
    Amazon.com, Inc., ___ F. App’x ___, 
    2019 WL 2762976
    , at
    *4 (Fed. Cir. 2019) (claim directed to patent ineligible mat-
    ter where it “s[ought] to capture the broad concept of
    switching to a more secure server, rather than a specific
    way to do so”); Univ. of Fla. Research Found., Inc. v. Gen.
    Elec. Co., 
    916 F.3d 1363
    , 1368 (Fed. Cir. 2019) (finding
    claims to be “directed to an abstract idea” where “[n]either
    the ’251 patent, nor its claims, explains how the drivers do
    the conversion that UFRF points to.”); Two-Way Media
    Ltd. v. Comcast Cable Commc’ns, LLC, 
    874 F.3d 1329
    , 1337
    (Fed. Cir. 2017) (“The claim requires the functional results
    of ‘converting,’ ‘routing,’ ‘controlling,’ ‘monitoring,’ and ‘ac-
    cumulating records,’ but does not sufficiently describe how
    to achieve these results in a non-abstract way.”).
    AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS             17
    failed to recite a practical way of applying an underlying
    idea . . . [and] instead were drafted in such a result-ori-
    ented way that they amounted to encompassing ‘the prin-
    ciple in the abstract’ no matter how 
    implemented.” 896 F.3d at 1343
    ; see also Electric 
    Power, 830 F.3d at 1355
    –56
    (noting that “the essentially result-focused, functional
    character of claim language has been a frequent feature of
    claims held ineligible under § 101”). The same reasoning
    is applicable here, notwithstanding the fact that the patent
    here is directed to a natural law rather than an abstract
    idea.
    The Supreme Court’s analysis in Parker v. Flook rein-
    forces our conclusion that a claim to a natural law concept
    without specifying the means of how to implement the con-
    cept is ineligible under section 101. In Flook, the Supreme
    Court considered the patent eligibility of a method for up-
    dating alarm limits during catalytic conversion 
    processes. 437 U.S. at 585
    . The method involved an initial step of
    measuring temperature, a second step of using a formula
    to calculate an updated alarm-limit value, and a final step
    in which the alarm limit is adjusted to the updated value.
    
    Id. But the
    patent “d[id] not purport to explain how to se-
    lect . . . any of the . . . variables” involved, nor did it “pur-
    port to contain any disclosure relating to the chemical
    process at work, the monitoring of process variables, or the
    means of setting off an alarm or adjusting an alarm sys-
    tem.” 
    Id. at 586,
    588. The patentee argued that the in-
    ventive part of the patent was the mathematical formula
    used in the second step of the claimed method. 
    Id. at 588.
    The patentee further contended that his claimed invention
    should be patent eligible because it was limited to a partic-
    ular process and involved post-solution activity that en-
    sured that the patent did not “wholly preempt [use of] the
    mathematical formula.” 
    Id. at 589–90.
        Nevertheless, the Court held that the patent contained
    no patent-eligible invention. 
    Id. at 594.
    The Court ex-
    plained that “if a claim is directed essentially to a method
    18    AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS
    of calculating, using a mathematical formula, even if the
    solution is for a specific purpose, the claimed method is
    nonstatutory.” 
    Id. at 595
    (quoting In re Richman, 
    563 F.2d 1026
    , 1030 (C.C.P.A. 1977)). It first noted that limiting the
    law of nature described in the patentee’s mathematical for-
    mula to application in a specific process did not transform
    the subject matter to which the patent was directed into
    eligible matter. 
    Id. at 593.
    Though the Court went on to
    state that the use of a mathematical formula or law of na-
    ture did not alone make a claim patent ineligible, it ex-
    plained that what was required was “an inventive
    application of the principle.” 
    Id. at 593–94.
    Such an in-
    ventive application, the Court concluded, was not present
    in the patented method. The process to which the claims
    were directed (catalytic conversion of hydrocarbons) was
    well known, as were the use of alarm limits to trigger
    alarms, repeated recalculation and readjustment of alarm-
    limit values, and the use of computers for automatic moni-
    toring-alarming. 
    Id. at 594.
    Because the Court found that
    the purportedly new formula itself was only a mathemati-
    cal one, which it deemed a “principle” akin for eligibility
    analysis to an existing natural relationship, 
    id. at 589,
    and
    given that nothing else in the patent claims exhibited more
    than conventional pre- and post-solution activity, it con-
    cluded that the patent was directed to nonstatutory mat-
    ter. 
    Id. at 594–95.
        Diehr, on the other hand, involved a situation in which
    a patent claimed a new and specific process of molding rub-
    ber products “which incorporate[d] in it a more efficient so-
    lution of the [Arrhenius] equation” (a natural 
    law). 450 U.S. at 188
    . Though the Supreme Court in Diehr explained
    that a mathematical formula itself was not patent eligible
    subject matter, it concluded that the alleged invention
    claimed in that case was patent eligible. The invention in-
    volved a new rubber-curing process with a specific and de-
    tailed series of steps (one of which included the use of a
    natural law) that limited the possibility of preempting the
    AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS          19
    natural law itself. 
    Id. at 187–88,
    191–92. In Diehr, unlike
    this case, “[t]hese other steps apparently added to the for-
    mula something that in terms of patent law’s objectives
    had significance—they transformed the process into an in-
    ventive application of the formula.” 
    Mayo, 566 U.S. at 81
    (discussing 
    Diehr, 450 U.S. at 187
    ). Nevertheless, the
    Court reaffirmed Flook’s teaching that “[a] mathematical
    formula does not suddenly become patentable subject mat-
    ter simply by having the applicant acquiesce to limiting the
    reach of the patent for the formula to a particular techno-
    logical use” nor through the addition of “token postsolution
    activity.” 
    Diehr, 450 U.S. at 191
    –92 & n.14.
    Like the claims in Flook, the claims of the ’911 patent
    are directed to the utilization of a natural law (here,
    Hooke’s law and possibly other natural laws) in a particu-
    lar context. As in Flook, where the patent did not disclose
    how variables were measured nor the means by which the
    alarm system functioned, the claims here do not disclose
    how target frequencies are determined or how, using that
    information, liners are tuned to attenuate two different vi-
    bration modes simultaneously. The claims here simply in-
    struct the reader to tune the liner—a process that, as
    explained above, merely amounts to an application of a nat-
    ural law (Hooke’s law) to a complex system without the
    benefit of instructions on how to do so. 6 The breadth of
    6    The specification makes this much clear, as it de-
    scribes tuning in terms of the result achieved, rather than
    the particular process by which the result is accomplished.
    For instance, the specification states that “a liner 204 will
    be considered to be tuned to a relevant frequency if it is
    effective in attenuating vibration at the relevant fre-
    quency.” ’911 patent, col. 8, ll. 28–31. Later in the same
    column, the patent gives an example of a “liner [that is]
    considered to be tuned to a relevant shell mode frequency
    20    AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS
    these claims is illustrated by AAM’s admission during the
    claim construction hearing that one could infringe the
    claims of the ’911 patent “[e]ven if you didn’t try to [tune]
    and didn’t know you did it.” J.A. 699.
    Finally, though we recognize that AAM may be correct
    in its assertion that the system involved in the ’911 patent
    is more complex than just a bare application of Hooke’s law,
    and that other laws of nature may be relevant, that does
    not render the subject matter patent eligible. What is
    missing is any physical structure or steps for achieving the
    claimed result of damping two different types of vibrations.
    The focus of the claimed advance here is simply the concept
    of achieving that result, by whatever structures or steps
    happen to work.
    The dissent suggests that the failure of the claims to
    designate how to achieve the desired result is exclusively
    an issue of enablement. Dissent Op. at 2, 11–14. Both the
    Supreme Court cases and our cases addressing section 101
    have held otherwise, as the earlier discussion demon-
    strates. Enablement is concerned with whether the “the
    specification of a patent… teach[es] those skilled in the art
    how to make and use the full scope of the claimed inven-
    tion.” In re Wright, 
    999 F.2d 1557
    , 1561 (Fed. Cir. 1993).
    Section 101 is concerned with whether the claims at issue
    recite a natural law, not whether the specification has ad-
    equately described how to make and use the concretely
    claimed structures and steps. The Supreme Court in Mayo
    made clear that section 101 serves a different function
    than enablement. 
    Mayo, 566 U.S. at 90
    (“[T]o shift the pa-
    tent-eligibility inquiry entirely to these later [statutory]
    sections risks creating significantly greater legal
    if it damps shell mode vibrations by an amount that is
    greater than or equal to about 2%.” 
    Id. at col.
    8, ll. 44–47.
    This makes clear that the concept of tuning embodied by
    the patent is merely results-oriented.
    AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS         21
    uncertainty, while assuming that those sections can do
    work that they are not equipped to do.”). Moreover, even
    if, as the dissent says, the specification gives one ade-
    quately concrete embodiment, which we need not decide,
    that is not enough: O’Reilly established long ago that an
    inadequately concrete claim is not saved from ineligibility
    by the presence of adequate concrete recitations in the
    specification or in other 
    claims. 56 U.S. at 112
    –20 (holding
    eighth claim ineligible while upholding first seven claims).
    II
    As to Mayo/Alice step 2, nothing in the claims qualifies
    as an “inventive concept” to transform the claims into pa-
    tent eligible matter. AAM contends that the claims include
    numerous inventive concepts that were neither previously
    known, nor conventional or routine. AAM’s arguments in
    this respect essentially amount to an assertion that prior
    to the ’911 patent, liners had never been tuned to damp
    propshaft vibrations and, more specifically, liners had not
    been used to damp two different vibration modes simulta-
    neously. This amounts to no more than an elaborated ar-
    ticulation of its reasons as to why the claims are not
    directed to a natural law (reasons we have already re-
    jected).
    The claimed advance is simply controlling various
    known characteristics of the liner so as to achieve attenua-
    tion of two vibration modes simultaneously, whether that
    is by changing the mass or thickness of the liner, altering
    the location of the liner in the propshaft, or modifying any
    other physical attributes that will produce the claimed
    dual-attenuation. AAM admits that it was well known “in
    the automotive industry [to] test for natural frequencies
    and damping of propshafts by performing experimental
    modal analysis.” AAM Op. Br. 8. As explained above, this
    direction to engage in a conventional, unbounded trial-and-
    error process does not make a patent eligible invention,
    22       AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS
    even if the desired result to which that process is directed
    would be new and unconventional.
    Nor does the direction in claim 1 to “position” the liner
    within the propshaft add an inventive concept. Under the
    claim language itself, and as reaffirmed by the district
    court’s now-undisputed construction, positioning is not
    part of tuning. And even if it were, the specification makes
    clear that it was well known to position dampers in the
    propshaft so as to maximize vibration damping. See, e.g.,
    ’911 patent, col. 1, ll. 57–60. Notably, AAM does not appear
    to argue that positioning was more than conventional. In
    listing alleged inventive concepts in its opening brief, AAM
    does not include positioning.
    The remaining steps of claims 1 and 22, like the steps
    involved in the Flook patent, amount to no more than con-
    ventional pre- and post-solution activity. As the Supreme
    Court made clear in Flook, neither such conventional addi-
    tions, nor the limiting of the use of a natural law or math-
    ematical formula to a particular process suffices to create
    patent eligibility. 7
    Claims 1 and 22 are not patent eligible. 8
    7   AAM does not appear to argue on appeal that the
    numerical limitations in claim 1 represent an inventive
    concept. In any event, as explained above, these limita-
    tions describe a desired result but do not instruct how the
    liner is tuned to accomplish that result.
    8    To the extent that AAM’s opening summary judg-
    ment brief as to § 101 patent eligibility can be understood
    to argue that there are disputed issues of material fact as
    to whether the patent discloses an inventive concept, it re-
    lies only on Dr. Rahn’s testimony that dual-damping of
    bending mode and shell mode vibrations was new and un-
    conventional. AAM Mot. for Summary Judgment at 8–9,
    AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS          23
    III
    Having determined that independent claims 1 and 22
    are not patent eligible under § 101, we need not separately
    determine eligibility of the dependent claims. The district
    court found independent claims 1 and 22 collectively repre-
    sentative of all the asserted claims. AAM did not argue be-
    fore the district court that the dependent claims change the
    outcome of the eligibility analysis. Nor did AAM make
    such an argument in its opening brief on appeal. Although
    at oral argument AAM disagreed that claims 1 and 22 are
    representative of the others and stated that it never ac-
    ceded to such a finding, Oral Arg. 30:07–40, it was unable
    to identify any part of its opening brief that presented such
    an argument and admitted that it was “not suggesting that
    the other claims should come out differently,” 
    id. at 30:40–
    31:16. We therefore find any such argument waived. See
    Affinity 
    Labs, 838 F.3d at 1256
    n.1 (treating certain claims
    as representative where no meaningful argument made
    that other claims are materially different); Electric 
    Power, 830 F.3d at 1352
    .
    CONCLUSION
    Because we conclude that the asserted claims of the
    ’911 patent are directed to ineligible subject matter under
    § 101, we affirm.
    AFFIRMED
    COSTS
    No costs.
    American Axle & Manuf., Inc. v. Neapco Hldgs. LLC, No.
    15-01168 (D. Del. Aug. 11, 2017), ECF No. 160. But as ad-
    dressed in detail above, dual-damping is merely a desired
    result and, without more, is insufficient to make the ’911
    patent eligible pursuant to § 101.
    United States Court of Appeals
    for the Federal Circuit
    ______________________
    AMERICAN AXLE & MANUFACTURING, INC.,
    Plaintiff-Appellant
    v.
    NEAPCO HOLDINGS LLC, NEAPCO DRIVELINES
    LLC,
    Defendants-Appellees
    ______________________
    2018-1763
    ______________________
    Appeal from the United States District Court for the
    District of Delaware in No. 1:15-cv-01168-LPS, Chief Judge
    Leonard P. Stark.
    ______________________
    MOORE, Circuit Judge, dissenting.
    The majority’s decision expands § 101 well beyond its
    statutory gate-keeping function and the role of this appel-
    late court well beyond its authority. The majority opinion
    parrots the Alice/Mayo two-part test, but reduces it to a
    single inquiry: If the claims are directed to a law of nature
    (even if the court cannot articulate the precise law of na-
    ture) then the claims are ineligible and all evidence of non-
    conventionality will be disregarded or just plain ignored.
    The majority rejects the notion that claims which contain
    an “inventive concept” survive the gatekeeper. In the
    words of the majority, “it makes no difference to the section
    101 analysis whether the use of liners to attenuate bending
    2     AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS
    mode vibration was known in the prior art.” Maj. at 13. I
    am deeply troubled by the majority’s disregard for the sec-
    ond part of the Alice/Mayo test, its fact finding on appeal
    and its repeated misrepresentation of the record, in each
    instance to the patentee’s detriment; all when we are to be
    applying the summary judgment standard no less.
    The majority’s concern with the claims at issue has
    nothing to do with a natural law and its preemption and
    everything to do with concern that the claims are not ena-
    bled. Respectfully, there is a clear and explicit statutory
    section for enablement, § 112. We cannot convert § 101 into
    a panacea for every concern we have over an invention’s
    patentability, especially where the patent statute ex-
    pressly addresses the other conditions of patentability and
    where the defendant has not challenged them.
    The district court held that the claims at issue are in-
    eligible under § 101 because they are directed to a natural
    law, specifically, “applications of Hooke’s law with the re-
    sult of friction damping.” J.A. 11. Even the majority does
    not agree with the district court that the claims are di-
    rected to Hooke’s Law. Instead the majority concludes that
    the claims are ineligible because they are “directed to the
    utilization of a natural law (here, Hooke’s law and possibly
    other natural laws) in a particular context.” Maj. at 19; see
    also Maj. at 20 (“though we recognize that AAM may be
    correct in its assertion that the system involved in the ’911
    patent is more complex than just a bare application of
    Hooke’s law, and that other laws of nature may be relevant,
    that does not render the subject matter patent eligible”).
    Section 101 is monstrous enough, it cannot be that now you
    need not even identify the precise natural law which the
    claims are purportedly directed to. The “focus of the
    claimed advance,” as repeatedly alleged by the patentee, is
    to use liners (a physical liner) positioned inside a drive
    shaft to reduce shell mode vibration and bending mode vi-
    bration. The claims at issue are directed to methods of
    manufacturing shaft assemblies for driveline systems for
    AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS           3
    automotive vehicles using liners to reduce specific types of
    vibration. See ’911 Patent Claims. Claim 1, for instance,
    recites:
    A method for manufacturing a shaft assembly of a
    driveline system, the driveline system further in-
    cluding a first driveline component and a second
    driveline component, the shaft assembly being
    adapted to transmit torque between the first
    driveline component and the second driveline com-
    ponent, the method comprising:
    providing a hollow shaft member;
    tuning at least one liner to attenuate at
    least two types of vibration transmitted
    through the shaft member; and
    positioning the at least one liner within the
    shaft member such that the at least one
    liner is configured to damp shell mode vi-
    brations in the shaft member by an amount
    that is greater than or equal to about 2%,
    and the at least one liner is also configured
    to damp bending mode vibrations in the
    shaft member, the at least one liner being
    tuned to within about ±20% of a bending
    mode natural frequency of the shaft assem-
    bly as installed in the driveline system.
    As the patentee argues, the dependent claims further nar-
    row the physical characteristics of the liners to be used and
    their positioning within the drive shaft: “Several depend-
    ent claims, for example, recite particular liner materials
    (e.g., cardboard or paperboard) and structures (helically-
    wrapped resilient member). . . . claims 12, 13, 19, 26, 27,
    4       AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS
    31.” Appellant’s Reply Br. at 27. 1 I do not see how these
    claims are directed to a natural law. And even if part one
    of the Alice/Mayo test was satisfied here, there is a part
    two. The claims will not be held ineligible (remember § 101
    is meant to be a gatekeeper) if the claims contain an “in-
    ventive concept.” There are many here, articulated in the
    claims themselves, about which there exist at least ques-
    tions of fact which should have precluded summary judg-
    ment. Argued below, and throughout the briefing on
    appeal and during oral argument to this panel, the pa-
    tentee maintains that liners had never before been used to
    reduce bending mode vibration. See Appellant’s Br. at 12,
    25–26, 27, 35, 57–60, 63, and 65 n.5; Appellant’s Reply Br.
    1    I do not agree with the majority’s conclusion that
    claims 1 and 22 are representative. First, Neapco never
    argued that claims 1 and 22 should be representative and
    in fact argued the dependent claims separately. See Dkt.
    150 (Neapco’s Mot. for Summ. J.) at 32–33. Second, AAM
    expressly argued that they are not representative. AAM’s
    statement that the dependent claims should not come out
    differently does nothing more than confirm that it believes
    all of the claims are patent-eligible. Third, the majority
    inaccurately states the patentee did not argue limitations
    of the dependent claims. AAM’s briefs provide multiple ref-
    erences to the type of material and other limitations found
    only in the dependent claims as providing the inventive
    concepts which are not routine or conventional. See, e.g.,
    Appellant’s Br. at 13–14, 36, 57–58, and 64–65. Merely by
    way of example, dependent claim 31 limits the material for
    the liner to cardboard among others. AAM claimed using
    a “cardboard liner to reduce bending mode vibrations” was
    an “inventive concept” and not “conventional or routine.”
    
    Id. at 57–58.
    It is inappropriate in light of these facts for
    the majority to sua sponte declare the claims representa-
    tive and ignore the expressly argued dependent claims and
    limitations.
    AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS             5
    at 2, 15 (“Prior art liners were used to provide general
    broadband damping of shell mode vibrations, but liners
    were not used to dampen bending mode vibrations prior to
    the claimed invention.”), 19 (“It was inventive to use a liner
    to damp bending mode vibrations”), 24–25, and 29. The
    argument that liners were never before used to attenuate
    bending mode vibrations was AAM’s first and one of its
    strongest non-conventionality arguments. AAM’s opening
    brief set this forth on the very first page of its step-two ar-
    gument:
    1. The Claims Contain Inventive Concepts and Are
    Not Conventional or Routine
    *   *    *
    [T]he asserted claims include at least the following in-
    ventive concepts:
    •   using a cardboard liner to reduce bending
    mode vibrations;
    •   using a cardboard liner to reduce bending and
    shell mode vibrations;
    •   tuning a cardboard liner by controlling its char-
    acteristics;
    •   controlling the characteristics of a cardboard
    liner such that it matches and damps bending
    mode vibrations;
    •   controlling the characteristics of a cardboard
    liner such that it damps bending mode vibra-
    tions by oscillating in opposition to a specific
    propshaft bending mode frequency; and
    •   controlling the characteristics of a cardboard
    liner such that it matches and damps vibration
    of multiple different types of propshaft vibra-
    tion, e.g., both bending and shell mode vibra-
    tions.
    6     AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS
    Appellant’s Br. at 57–58.
    The majority rejects this “inventive concept” in its §
    101 analysis, first as inaccurate (a fact finding made by the
    majority on appeal and contrary to all the evidence of rec-
    ord) and second as irrelevant. Let’s begin with the major-
    ity’s claim that the patent itself discloses the use of liners
    to reduce bending mode vibration: “According to the ’911
    patent’s specification, prior art liners, weights, and damp-
    ers that were designed to individually attenuate each of the
    three propshaft vibration modes—bending, shell and tor-
    sion—already existed.” Maj. at 6. And again, citing the
    patent, the majority claims, “It was also known that a liner
    or weight could be designed specifically to have a frequency
    that would allow it to function as either a resistive attenu-
    ation means [shell mode vibration] or as a reactive attenu-
    ation means [bending mode vibration]. AAM does not
    dispute that these features were known in the art.” Maj.
    at 10. These statements are false.
    The patent admits that liners had been used to reduce
    shell mode vibration. ’911 patent at 2:23–36. It then
    states: “These liners, however, do not appear to be suitable
    for bending mode vibration or torsion mode vibration.” 
    Id. at 2:36–38.
    The patent discloses prior use of plugs,
    weights, and dampers to attenuate bending mode vibra-
    tions, but stresses that liners were not suitable. The pa-
    tentee explained that before the ’911 patent, liners were
    not used, car manufacturers shoved masses of wadded up
    cardboard into the propshaft to reduce bending vibrations.
    Oral Arg. 6:46–7:11. More than a dozen times in the briefs
    and during oral argument the patentee argued that the use
    of liners to attenuate bending mode vibration was one of its
    inventive concepts. Without regard for the arguments
    made, the majority declares “AAM does not dispute that
    these features were known in the art.” Maj. at 10. Yes, it
    AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS          7
    certainly did dispute this more than a dozen times. 2 In
    fact, AAM’s counsel corrected the court when a member of
    the majority tried to suggest that liners to attenuate bend-
    ing mode were known in the prior art:
    Judge: “None of that is new, there were liners,
    there were changes to the liners to make them
    dampen, right? That was not new.”
    AAM: “The liners had never been used to damp
    bending mode.”
    2    In a footnote, the majority suggests that while the
    patentee made the argument throughout its briefing and
    argument on appeal, it was not properly raised below. Maj.
    at 12 n.3. There is no doubt the district court understood
    the argument as having been made and Neapco did not ar-
    gue otherwise:
    THE COURT: “So what is it that is not conven-
    tional in the claims other than the application of
    Hooke’s law?
    MR. NUTTALL: Tuning a liner to target a specific
    bending mode was new and different and nobody
    thought you could do that or should do that before,
    much less coupling that with also being tuned to a
    shell mode vibration.”
    The majority stops short of saying that it deems the argu-
    ment waived, and in fact then decides the fact question
    which was disputed in the briefs before us by the parties.
    The majority likely does not find the argument waived be-
    cause Neapco never alleges it was waived and it is axio-
    matic that one can waive waiver. See, e.g., Norwood v.
    Vance, 
    591 F.3d 1062
    , 1068 (9th Cir. 2010) (It is “well-es-
    tablished” that a party can “‘waive waiver’ implicitly by
    failing to assert it.”).
    8     AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS
    Oral Arg. 6:46–49. Even Neapco acknowledged that the
    patent states that liners had not been used to attenuate
    bending mode vibrations. See Appellee’s Br. at 8. Neapco
    never disputed the patentee’s claim that liners had never
    been used to dampen bending mode vibration. It matters
    not at all to the majority that the patentee alleges that lin-
    ers had not been used to reduce bending mode vibration,
    and that Neapco presented no argument or evidence to con-
    tradict that. The majority has decided to make its own fact
    finding that prior art liners had been used. The majority
    finds that U.S. Patent No. 3,075,406, never introduced as
    evidence in this case or cited by either party, which dis-
    closes a rigid cylindrical metal bar with two circular ends
    resembling a metal dumbbell—is a liner. Thus, according
    to the majority, there is at least one liner in a single prior
    art patent which was used to reduce bending mode. This
    is a fact question, nobody argued it, and reasonable minds
    could disagree over whether a dumbbell is a liner. Moreo-
    ver, a disclosure in a single patent does not establish that
    the use of liners to attenuate bending mode vibration was
    “well-understood, routine, conventional activity” as re-
    quired by the Supreme Court.
    Doubling down, the majority then claims that the pa-
    tentee’s own testing proved that prior art liners “did in fact
    dampen bending mode vibrations.” Maj. at 13. I fail to see
    how the patentee’s invention that liners could be used, the
    very invention for which they have obtained patent protec-
    tion, supports the majority’s finding that liners were
    known in the prior art to be used to reduce bending mode
    vibration. To be clear, there is no record evidence that lin-
    ers had been used to dampen bending mode vibration much
    less that the use of liners to dampen bending mode vibra-
    tion was routine and conventional. The patentee argued
    throughout that one of the inventive concepts present in
    every single claim of the patent was the novel use of liners
    to reduce bending mode vibration. Ultimately, the major-
    ity says the inventive concept “makes no difference to the
    AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS            9
    section 101 analysis.” Maj. at 13. I understand this to be
    an outright rejection of the second step of the Alice/Mayo
    test. The majority explains: “Section 101 is concerned with
    whether the claims at issue recite a natural law, not
    whether the specification has adequately described how to
    make and use the concretely claimed structures and steps.”
    Maj. at 21. This statement of law is just plain wrong. Miss-
    ing is any recognition that the Alice/Mayo test is a two-part
    test and that the second step has meaning. The concretely
    claimed structures and steps, as in these claims, are ex-
    actly what can move the claim from ineligible to eligible by
    virtue of step 1 or step 2.
    There are additional alleged “inventive concepts”
    which I will briefly mention. The claims include limita-
    tions which get progressively more detailed about the
    structure and positioning of the liner inside the drive shaft.
    The patentee argues throughout that the position of the
    liner inside the shaft (an express claim element) is one of
    the characteristics to be controlled in attenuating bending
    mode vibration. See Appellant’s Br. at 14, 36, 42, and 65.
    The patentee alleges throughout that the concept of tuning
    a liner, i.e. controlling the characteristics of a liner to
    dampen vibration of any given system is an inventive con-
    cept. See 
    id. at 27–28,
    and 57–67; Appellant’s Reply Br. at
    2, 16, and 18–29. The particular characteristics of the
    tuned liner will depend on the characteristics of the drive
    shaft it is being used in (for example the natural frequen-
    cies, which are inherent properties of each shaft). 3 See ’911
    patent at 7:44–55; Appellant’s Br. at 4, 6, 46, and 53.
    3   And the ’911 patent’s specification explains how to
    tune liners to attenuate those vibrations. For example, the
    specification explains that different characteristics of the
    liners are controlled corresponding to the structure of the
    propshaft. ’911 patent at 7:56–8:43. It even provides a
    10     AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS
    The majority claims: “What is missing is any physical
    structure or steps for achieving the claimed result of damp-
    ing two different types of vibration. The focus of the
    claimed advance here is simply the concept of achieving
    that result, by whatever structures or steps happen to
    work.” Maj. at 20. The “focus of the claimed advance,” as
    repeatedly alleged by the patentee and as expressly
    claimed, is to insert a liner (a concretely identified physical
    liner) inside a drive shaft to reduce shell mode vibration
    and bending mode vibration. See, e.g., claims 1 & 22. The
    dependent claim limitations further narrow this “identified
    physical structure.” Claims limit the material from which
    the liner can be made, for example, cardboard. See claims
    19 & 31. Other claims limit the physical structure of the
    liner itself. It can extend helically (claims 13 & 27) or lon-
    gitudinally (claims 14 & 28) or circumferentially (claims 15
    & 29). The liner includes a “plurality of fingers” (claims 18
    & 33). And the claims limit where the liner can be placed
    within the shaft. Claim 20 for example requires the liner
    to be positioned within the shaft symmetrically about a
    bending anti-node. It is remarkable that the majority
    thinks that claims with all of these very physical, very con-
    crete, very structural limitations are nonetheless “missing
    any physical structure or steps.” It is not, as the majority
    claims, “whatever structures or steps happen to work.”
    Maj. at 20. It is a physical liner positioned inside the shaft.
    The tuned liner element is the crux of what bothers the
    majority in this case. The majority’s true concern with
    these claims is not that they are directed to Hooke’s Law
    (because this is clearly a much more complex system not
    limited to varying mass and stiffness), but rather the pa-
    tentee has not claimed precisely how to tune a liner to
    dampen both bending and shell mode vibrations. As the
    particular example of tuned liners for use in a propshaft
    with specific dimensions. 
    Id. at 8:2–23.
    AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS              11
    following quotes from the majority demonstrate, their
    problem with these claims is not one of eligibility, but ra-
    ther one of enablement:
    •   “Most significantly, the claims do not instruct
    how the variables would need to be changed to
    produce the multiple frequencies required to
    achieve a dual-damping result.” Maj. at 14–15.
    •   “[T]he claims’ general instruction to tune a liner
    amounts to no more than a directive to use one’s
    knowledge of Hooke’s law, and possibly other
    natural laws, to engage in an ad hoc trial-and-
    error process of changing the characteristics of a
    liner until a desired result is achieved.” Maj. at
    15.
    •   “The claims here simply instruct the reader to
    tune the liner . . . without the benefit of instruc-
    tions on how to do so.” Maj. at 19–20.
    •   “The problem is it really doesn’t tell you how to
    do it, right? It says ‘do tuning,’ but it doesn’t tell
    you how to do the tuning.” Oral Arg. at 1:35–42
    (Judge).
    •   “Looking at this patent, you couldn’t tell how to
    do it. Someone skilled in the art wouldn’t know
    how to do it. You would need additional infor-
    mation, right?” Oral Arg. at 2:09–2:16 (Judge).
    •   “That is just a statement of the result, it doesn’t
    tell you how to do it . . . it doesn’t tell you how to
    change the variables, right?” Oral Arg. at 5:50–
    6:15 (Judge).
    •   “Basically it is done by trial-and-error. You start
    with a computer program and then you do trial
    and error to come to the correct result, right?”
    Oral Arg. at 12:04–11 (Judge).
    12    AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS
    •   “The real question here is do we have anything
    more than a result? Even if you use all of these
    different variables, it doesn’t really tell you how
    to use the variables. And that’s the problem.”
    Oral Arg. at 21:40–22:20 (Judge).
    •   “The more variables there are, the more difficult
    it is to know how to do it, and the more guidance
    that’s needed, and there is none as to the use of
    all these variables other than just use a lot of
    variables and figure it out.” Oral Arg. at 27:10–
    23 (Judge).
    •   “The claims themselves don’t even provide you
    with a list of variables, there are a lot of different
    variables, done by trial and error, and all the
    claims are telling you is here is a desirable result
    and use trial and error to get there.” Oral Arg.
    at 29:20–36 (Judge).
    •   “At least what I am listening for, and I have been
    focused on throughout this is . . . is it only make
    and place a liner so that two damping effects oc-
    cur, you figure out how? That seems to me kind
    of the question that we are struggling with.”
    Oral Arg. at 35:17–38 (Judge).
    “[T]o be enabling, the specification of a patent must
    teach those skilled in the art how to make and use the full
    scope of the claimed invention without ‘undue experimen-
    tation.’” See Genentech, Inc. v. Novo Nordisk A/S, 
    108 F.3d 1361
    , 1365 (Fed. Cir. 1997). There is undue experimenta-
    tion when “the trial and error required to practice the
    claimed invention could be unduly laborious.” Old Town
    Canoe Co. v. Confluence Holdings Corp., 
    448 F.3d 1309
    ,
    1320 (Fed. Cir. 2006). And whether undue experimenta-
    tion is required is a question of fact. Transocean Offshore
    Deepwater Drilling, Inc. v. Maersk Contractors USA, Inc.,
    
    617 F.3d 1296
    , 1305 (Fed. Cir. 2010). The majority faults
    the ’911 patent because the claims themselves fail to
    AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS           13
    describe “how to achieve such tuning.” Maj. at 7. The ma-
    jority concludes, apparently de novo, that too much “trial
    and error” would be required to determine how to tune a
    particular liner to the frequencies associated with a given
    propshaft. The majority advises that if the claims had
    themselves mentioned using computer modeling to deter-
    mine how to tune the liner, it may have made all the dif-
    ference. Yet, earlier the majority explains that such
    computer modeling and experimental modal analysis was
    already used in the prior art. How does adding a limitation
    to the claims to “use a computer program to figure out how
    to tune the liners” alleviate the majority’s concern that
    these claims are directed to a natural law? Surely, this is
    the first time adding software to a claim would make it el-
    igible. The majority acknowledges that there is a very spe-
    cific example given in the patent with precise dimensions,
    weights, lengths, materials, positioning, etc. See ’911 pa-
    tent at 8:2–23. Whether this disclosure combined with the
    knowledge of a skilled artisan would permit that skilled ar-
    tisan to tune a liner to a given propshaft in order to reduce
    bending mode vibrations without undue experimentation
    is exactly and precisely the enablement test pursuant to §
    112. A patentee’s failure to enable his invention renders
    the claims invalid under § 112, it does not, however, render
    the claims ineligible under § 101. The ’911 patent claims
    include a concretely identified physical structure—a liner
    inserted inside the propshaft—to reduce vibrations. Ac-
    cording to the majority, it is not enough that a skilled arti-
    san reading the specification would know how to tune a
    liner to the frequency of any given propshaft—the claims
    themselves must recite these steps. To be clear, according
    to the majority, even if these claims are enabled, they are
    still ineligible because the claims themselves didn’t teach
    how. This is now the law of § 101. The hydra has grown
    another head.
    Today, the majority concludes that the ’911 patent
    claims are not eligible because they do not teach a skilled
    14    AMERICAN AXLE & MANUFACTURING v. NEAPCO HOLDINGS
    artisan how to tune a liner. The majority holds that they
    are directed to some unarticulated number of possible nat-
    ural laws apparently smushed together and thus ineligible
    under § 101. The majority concludes that the inventive
    concepts “make no difference.” Section 101 simply should
    not be this sweeping and this manipulatable. It should not
    be used to invalidate claims under standards identical to
    those clearly articulated in other statutory sections, but
    not argued by the parties. It should not subsume § 112. It
    should not convert traditional questions of fact (like undue
    experimentation) into legal ones. The majority’s validity
    goulash is troubling and inconsistent with the patent stat-
    ute and precedent. The majority worries about result-ori-
    ented claiming; I am worried about result-oriented judicial
    action. I dissent.