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1

Wang, Zhenyu, Ming Li, and Haoyu Wang. "Vehicle Mass Identification Based on Two-axle and Two-mass Vibration Model." IOP Conference Series: Materials Science and Engineering 787 (May 5, 2020): 012024. http://dx.doi.org/10.1088/1757-899x/787/1/012024.

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2

Juraitis, Sigitas. "MODEL OF TWO-MASS ELECTROMECHANICAL SYSTEM." Mokslas - Lietuvos ateitis 2, no. 1 (February 28, 2010): 85–89. http://dx.doi.org/10.3846/mla.2010.019.

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The computer model of electromechanical system with elasticity and clearance is elaborated. Model of induction motor is developed in stationary reference frame. Results of simulation are presented and discussed. Conclusions about influence of finite stiffness and clearance on the system dynamics are made.
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3

Wang, Jinfu, and Horst Langemann. "Unsteady two-film model for mass transfer." Chemical Engineering & Technology 17, no. 4 (August 1994): 280–84. http://dx.doi.org/10.1002/ceat.270170410.

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4

Furukawa, Nobuo, and Masatoshi Imada. "Charge Mass Singularity in Two-Dimensional Hubbard Model." Journal of the Physical Society of Japan 62, no. 8 (August 15, 1993): 2557–60. http://dx.doi.org/10.1143/jpsj.62.2557.

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5

ISHIKAWA, Satoshi, Shinya KIJIMOTO, Yosuke KOBA, Ryoma OWAKI, and Yuuki MORI. "Two-Dimensional Acoustic Analysis by Concentrated Mass Model." TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B 79, no. 801 (2013): 744–48. http://dx.doi.org/10.1299/kikaib.79.744.

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6

Pelorson, X., A. Hirschberg, and Y. Auregan. "Modified two‐mass model for the vocal cords." Journal of the Acoustical Society of America 93, no. 4 (April 1993): 2417. http://dx.doi.org/10.1121/1.405916.

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7

Yang, Judy P., and Bo-How Chen. "Two-Mass Vehicle Model for Extracting Bridge Frequencies." International Journal of Structural Stability and Dynamics 18, no. 04 (March 28, 2018): 1850056. http://dx.doi.org/10.1142/s0219455418500566.

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The dynamic response of a moving vehicle has been utilized to extract the frequencies of the supporting bridge. In most previous studies, the vehicle was modeled as a single-degree-of-freedom sprung mass moving over a simple beam, which suffers from the drawback that the sprung mass may be affected by the vehicle motion. To overcome this drawback, this paper presents a two-mass vehicle model for extracting the bridge frequencies, which contains a sprung mass (vehicle body) and an unsprung mass (axle mass). By using the response of the unsprung mass, the bridge response can be more realistically extracted. The main findings of the present study are as follows: (1) the use of unsprung mass in the vehicle model can faithfully reveal the dynamic responses of both the vehicle and bridge, (2) the increase in the unsprung mass can effectively help the extraction of bridge frequencies, including the second frequency, (3) under high levels of road roughness, the proposed model can identify the bridge frequencies, while the single-mass model cannot, and (4) in the presence of vehicle damping, the proposed model can identify the bridge frequencies under high levels of road roughness without additional techniques of processing.
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8

Khattri, Khim B., and Shiva P. Pudasaini. "An extended quasi two-phase mass flow model." International Journal of Non-Linear Mechanics 106 (November 2018): 205–22. http://dx.doi.org/10.1016/j.ijnonlinmec.2018.07.008.

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9

Schneider, V., J. Maruhn, and W. Greiner. "Cranking model mass parameters for the Asymmetrie Two Center Shell Model." Zeitschrift f�r Physik A Atomic Nuclei 323, no. 1 (March 1986): 111–18. http://dx.doi.org/10.1007/bf01294562.

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10

Yao, Sen, Ya-Ling He, Bing-Ye Song, and Xiao-Yue Li. "A two-dimensional, two-phase mass transport model for microbial fuel cells." Electrochimica Acta 212 (September 2016): 201–11. http://dx.doi.org/10.1016/j.electacta.2016.06.167.

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11

Yang, W. W., and T. S. Zhao. "A two-dimensional, two-phase mass transport model for liquid-feed DMFCs." Electrochimica Acta 52, no. 20 (June 2007): 6125–40. http://dx.doi.org/10.1016/j.electacta.2007.03.069.

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12

Anuchin, A. S., and K. G. Fedorova. "A two-mass thermal model of the induction motor." Russian Electrical Engineering 85, no. 2 (February 2014): 83–86. http://dx.doi.org/10.3103/s1068371214020035.

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13

Xu, Qiang, Jian Yun Chen, and Jing Li. "New Constitutive Model for Two-Dimensional Jointed Rock Mass." Advanced Materials Research 368-373 (October 2011): 641–46. http://dx.doi.org/10.4028/www.scientific.net/amr.368-373.641.

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Mechanical analysis for jointed rock mass is very significant in geotechnical engineering. In particular, the mechanical characteristics of jointed rock mass can result in nonlinear response of geotechnical engineering and in consequence mechanical analysis for the engineering is difficult. In order to simulate jointed rock mass, a new equivalent model is proposed for two-dimensional jointed rock mass based on strain energy equivalence principle. Firstly, the equivalent elastic modulus and Poisson's ratio for a horizontal joint in unit square is deduced. Then, the equivalent flexibility matrix for a joint of specified angle in unit square is given. Moreover, the equivalent flexibility matrix for multiple joints, which have different angles in unit square, is obtained. Finally, a numerical simulation is given to verify the model. Compared with other conventional algorithm, the proposed approach has some strong points: it is easy to implement in the finite element program. Furthermore, it provides a new model to compute the deformation of joints and rock and the precision is high.
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14

ISHIKAWA, Satosh, Yosuke KOBA, Yuuki MORI, Shinya KIJIMOTO, and Ryoma OWAKI. "111 Two-dimensional Acoustic Analysis by Concentrated Mass Model." Proceedings of the Symposium on Environmental Engineering 2012.22 (2012): 47–50. http://dx.doi.org/10.1299/jsmeenv.2012.22.47.

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15

AKAYAMA, Yuta, Satoshi ISHIKAWA, Shinya KIJIMOTO, and Yosuke KOBA. "105 Two-dimensional Acoustic Analysis by Concentrated Mass Model." Proceedings of the Symposium on Environmental Engineering 2014.24 (2014): 14–17. http://dx.doi.org/10.1299/jsmeenv.2014.24.14.

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16

MORI, Yuuki, Yosuke KOBA, Satoshi ISHIKAWA, and Shinya KIJIMOTO. "1119 Two-dimensional Acoustic Analysis by Concentrated Mass Model." Proceedings of Conference of Kyushu Branch 2013.66 (2013): 393–94. http://dx.doi.org/10.1299/jsmekyushu.2013.66.393.

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17

AKAYAMA, Yuta, Satoshi ISHIKAWA, Shinya KIJIMOTO, and Yosuke KOBA. "703 Two-dimensional Acoustic Analysis by Concentrated Mass Model." Proceedings of Conference of Kyushu Branch 2015.68 (2015): 263–64. http://dx.doi.org/10.1299/jsmekyushu.2015.68.263.

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18

Owaki, Ryoma, Satoshi Ishikawa, Shinya Kijimoto, and Yosuke Koba. "721 Two-dimensional Acoustic Analysis by Concentrated Mass Model." Proceedings of Conference of Kyushu Branch 2012.65 (2012): 265–66. http://dx.doi.org/10.1299/jsmekyushu.2012.65.265.

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19

Koide, Yoshio. "Phenomenological quark mass matrix model with two adjustable parameters." Physical Review D 49, no. 5 (March 1, 1994): 2638–41. http://dx.doi.org/10.1103/physrevd.49.2638.

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20

OWAKI, Ryoma, Satoshi ISHIKAWA, Shinya KIJIMOTO, Yosuke KOBA, and Yuki MORI. "343 Two-dimensional Acoustic Analysis by Concentrated Mass Model." Proceedings of the Dynamics & Design Conference 2012 (2012): _343–1_—_343–10_. http://dx.doi.org/10.1299/jsmedmc.2012._343-1_.

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21

Pudasaini, Shiva P., and Jan-Thomas Fischer. "A mechanical erosion model for two-phase mass flows." International Journal of Multiphase Flow 132 (November 2020): 103416. http://dx.doi.org/10.1016/j.ijmultiphaseflow.2020.103416.

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22

Samma, H., and B. Lahasan. "Optimized Two-Stage Ensemble Model for Mammography Mass Recognition." IRBM 41, no. 4 (August 2020): 195–204. http://dx.doi.org/10.1016/j.irbm.2020.01.005.

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23

Hong, Sun-nan, and Hong Zhao. "Two Bio-Mass Model Incorporating Temperature Effect for “EBPR” Process." Proceedings of the Water Environment Federation 2010, no. 18 (January 1, 2010): 147–57. http://dx.doi.org/10.2175/193864710798130689.

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24

Ghosh Hajra, Sayonita, Santosh Kandel, and Shiva P. Pudasaini. "On analytical solutions of a two-phase mass flow model." Nonlinear Analysis: Real World Applications 41 (June 2018): 412–27. http://dx.doi.org/10.1016/j.nonrwa.2017.09.009.

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25

Lucero, Jorge C. "Bifurcations in a two-mass model of the vocal folds." Journal of the Acoustical Society of Japan (E) 17, no. 4 (1996): 211–13. http://dx.doi.org/10.1250/ast.17.211.

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26

Bezrukov, F., and M. Shaposhnikov. "Standard model Higgs boson mass from inflation: two loop analysis." Journal of High Energy Physics 2009, no. 07 (July 24, 2009): 089. http://dx.doi.org/10.1088/1126-6708/2009/07/089.

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27

Gracey, J. A. "Low momentum propagators at two loops in gluon mass model." Journal of Physics A: Mathematical and Theoretical 47, no. 44 (October 21, 2014): 445401. http://dx.doi.org/10.1088/1751-8113/47/44/445401.

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28

Kalinowski, Jan, and Maria Krawczyk. "Fermion mass effects on in a two-Higgs-doublet model." Physics Letters B 361, no. 1-4 (November 1995): 66–68. http://dx.doi.org/10.1016/0370-2693(95)01102-v.

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29

Yamada, Youichi. "Two-loop renormalization of gaugino mass in supersymmetric gauge model." Physics Letters B 316, no. 1 (October 1993): 109–11. http://dx.doi.org/10.1016/0370-2693(93)90665-5.

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30

Ninkovic, S. "A comparison of two spherical mass-distribution models." Serbian Astronomical Journal, no. 164 (2001): 17–19. http://dx.doi.org/10.2298/saj0164017n.

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Two spherically symmetric mass-distribution models - a special case of the generalized Schuster density law and the generalized isochrone model (both yield the same approximate density dependence on the distance in the outer parts) - are compared. It is shown that in the interval of the relative second scale length for the latter case of 0.5-0.6 the two mass distributions are almost identical. Considering to advantages, i.e. disadvantages, of the formulae describing these mass distributions this result can be of interest.
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31

LAVOURA, LUÍS, and ERNEST MA. "TWO PREDICTIVE SUPERSYMMETRIC S3×Z2 MODELS FOR THE QUARK MASS MATRICES." Modern Physics Letters A 20, no. 16 (May 30, 2005): 1217–25. http://dx.doi.org/10.1142/s0217732305017561.

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We propose two simple models for the quark mass matrices which may be implemented through an S3×Z2 symmetry in a supersymmetric context. Each model has eight parameters and, therefore, makes two independent predictions for the quark mixing matrix. The first model predicts [Formula: see text] and [Formula: see text]. The second model, in which the forms of the up-type-quark and down-type-quark mass matrices are interchanged relative to the first one, predicts |Vub/Vcb|~0.11 and |Vtd/Vts|~0.33. Both models have sin 2β~0.5.
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32

Wang, Weijian, Shu-Yuan Guo, and Zhi-Gang Wang. "Neutrino mass matrices with two vanishing cofactors and Fritzsch texture for charged lepton mass matrix." Modern Physics Letters A 31, no. 13 (April 28, 2016): 1650080. http://dx.doi.org/10.1142/s0217732316500802.

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In this paper, we study the cofactor 2 zero neutrino mass matrices with the Fritzsch-type structure in charged lepton mass matrix (CLMM). In the numerical analysis, we perform a scan over the parameter space of all the 15 possible patterns to get a large sample of viable scattering points. Among the 15 possible patterns, three of them can accommodate the latest lepton mixing and neutrino mass data. We compare the predictions of the allowed patterns with their counterparts with diagonal CLMM. In this case, the severe cosmology bound on the neutrino mass set a strong constraint on the parameter space, rendering two patterns only marginally allowed. The Fritzsch-type CLMM will have impact on the viable parameter space and give rise to different phenomenological predictions. Each allowed pattern predicts the strong correlations between physical variables, which is essential for model selection and can be probed in future experiments. It is found that under the no-diagonal CLMM, the cofactor zeros structure in neutrino mass matrix is unstable as the running of renormalization group (RG) from seesaw scale to the electroweak scale. A way out of the problem is to propose the flavor symmetry under the models with a TeV seesaw scale. The inverse seesaw model and a loop-induced model are given as two examples.
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33

Zhang, Qingwen, Yu Zhang, and Tianjian Ji. "A continuous model of a standing human body in vertical vibration." Engineering review 39, no. 2 (2019): 132–40. http://dx.doi.org/10.30765/er.39.2.2.

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This paper develops a continuous standing human body model in the vertical vibration based on an anthropomorphic model, two measured natural frequencies of a biomechanics model, and structural dynamics methods. The mass distribution of a standing body is formed using the mass distribution of fifteen body segments in the anthropomorphic model. The axial stiffness of the model is determined based on the best matching to the two natural frequencies of the biomechanics model which were obtained using shaking table tests. Four similar models are assessed using finite element parametric analysis. The best of the four models has seven uniform mass segments with two stiffnesses and the same fundamental natural frequency as that of the biomechanics model, but its second natural frequency is 10% higher. The mode shapes of the continuous model are presented to demonstrate the relative magnitude of vibration throughout the height of the body. Finally the modal mass and stiffness of the continuous model are evaluated, which are related to some simple discrete models.
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34

Shima, Yoshikazu, Rion Takahashi, Toshiaki Murata, Junji Tamura, Yuichi Tomaki, Shinobu Tominaga, and Atsushi Sakahara. "Transient Stability Simulation of Wind Generator Expressed by Two-Mass Model." IEEJ Transactions on Power and Energy 125, no. 9 (2005): 855–64. http://dx.doi.org/10.1541/ieejpes.125.855.

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35

Nagai, Kei-Ichi, and Karl Jansen. "Two-dimensional lattice Gross–Neveu model with Wilson twisted mass fermions." Physics Letters B 633, no. 2-3 (February 2006): 325–30. http://dx.doi.org/10.1016/j.physletb.2005.11.071.

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36

Ma, Ernest, and Utpal Sarkar. "Revelations of the model: Two-loop neutrino mass and dark matter." Physics Letters B 653, no. 2-4 (September 2007): 288–91. http://dx.doi.org/10.1016/j.physletb.2007.08.019.

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37

Yi, Xiang, and Shixiao Liu. "Stationary breather model in a two-dimensional hexagonal spring-mass lattice." Nuclear Physics B 951 (February 2020): 114884. http://dx.doi.org/10.1016/j.nuclphysb.2019.114884.

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38

Yang, Judy P., and Cheng-Yi Cao. "Wheel size embedded two-mass vehicle model for scanning bridge frequencies." Acta Mechanica 231, no. 4 (January 4, 2020): 1461–75. http://dx.doi.org/10.1007/s00707-019-02595-5.

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39

VINANTE, C., P. DUVERNEUIL, and J. P. COUDERC. "A TWO DIMENSIONAL MODEL FOR LPCVD REACTORS HYDRODYNAMICS AND MASS TRANSFER." Le Journal de Physique Colloques 50, no. C5 (May 1989): C5–35—C5–43. http://dx.doi.org/10.1051/jphyscol:1989507.

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40

Lucero, Jorge C. "Oscillation hysteresis in a two-mass model of the vocal folds." Journal of Sound and Vibration 282, no. 3-5 (April 2005): 1247–54. http://dx.doi.org/10.1016/j.jsv.2004.05.008.

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41

Chande, T., and J. Mazumder. "Two‐dimensional, transient model for mass transport in laser surface alloying." Journal of Applied Physics 57, no. 6 (March 15, 1985): 2226–32. http://dx.doi.org/10.1063/1.334367.

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42

Theil, Florian. "Surface energies in a two-dimensional mass-spring model for crystals." ESAIM: Mathematical Modelling and Numerical Analysis 45, no. 5 (February 23, 2011): 873–99. http://dx.doi.org/10.1051/m2an/2010106.

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43

Grimus, Walter, and Luís Lavoura. "On a model with two zeros in the neutrino mass matrix." Journal of Physics G: Nuclear and Particle Physics 31, no. 7 (May 27, 2005): 693–702. http://dx.doi.org/10.1088/0954-3899/31/7/014.

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44

�rd, T., and N. Kristoffel. "Paired Carrier Effective Mass Isotope Effect in the Two-Band Model." physica status solidi (b) 216, no. 2 (December 1999): 1049–56. http://dx.doi.org/10.1002/(sici)1521-3951(199912)216:2<1049::aid-pssb1049>3.0.co;2-9.

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45

Dhaouadi, Rached, and Khaled Nouri. "Neural Network-Based Speed Control of A Two-Mass-Model System." Journal of Advanced Computational Intelligence and Intelligent Informatics 3, no. 5 (October 20, 1999): 427–30. http://dx.doi.org/10.20965/jaciii.1999.p0427.

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We present an application of artificial neural networks to the problem of controlling the speed of an elastic drive system. We derive a neural network structure to simulate the inverse dynamics of the system, then implement the direct inverse control scheme in a closed loop. The neural network learning is done on-line to adaptively control the speed to follow a stepwise changing reference. The experimental results with a two-mass-model analog board confirm the effectiveness of the proposed neurocontrol scheme.
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46

PELORSON, X., A. HIRSCHBERG, and Y. AUREGAN. "Modelling of voiced sounds production using a modified two-mass model." Le Journal de Physique IV 04, no. C5 (May 1994): C5–453—C5–456. http://dx.doi.org/10.1051/jp4:1994594.

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47

Conrad, William A., and David M. McQueen. "Two‐mass model of the vocal folds: Negative differential resistance oscillation." Journal of the Acoustical Society of America 83, no. 6 (June 1988): 2453–58. http://dx.doi.org/10.1121/1.396326.

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48

Morozov, Petr, and Serge Miheev. "Stochastic model of the stroke of a two-mass cone crusher." Vibroengineering PROCEDIA 32 (June 29, 2020): 45–51. http://dx.doi.org/10.21595/vp.2020.21542.

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49

Akhmetzyanov, Atlas V., Alexei G. Kushner, and Valentin V. Lychagin. "Mass and heat transport in the two-phase Buckley–Leverett model." Journal of Geometry and Physics 113 (March 2017): 2–9. http://dx.doi.org/10.1016/j.geomphys.2016.06.010.

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50

Pokhrel, Puskar R., Khim B. Khattri, Bhadra Man Tuladhar, and Shiva P. Pudasaini. "A generalized quasi two-phase bulk mixture model for mass flow." International Journal of Non-Linear Mechanics 99 (March 2018): 229–39. http://dx.doi.org/10.1016/j.ijnonlinmec.2017.12.003.

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