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Behavior of one inelastic ball bouncing repeatedly off the ground

E. Falcon, C. Laroche, S. Fauve, C. Coste
<span title="">1998</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/mtjzh5k74rffbo7d6gwo5kig2e" style="color: black;">European Physical Journal B : Condensed Matter Physics</a> </i> &nbsp;
For each bounce, measurement of both the duration of collision and the restitution coefficient have been done.  ...  When the duration between two successive bounces becomes of the order of the impact duration, the bead no longer bounces but oscillates on the elastically deformed surface before coming to rest.  ...  As said above, the generalization of Hertz's theory of elastic contact leads F = −k|x| 3/2 − µẋ|x| 1/2 (32) where k is the coefficient of the Hertz's law for a sphereplane contact (see Eq.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s100510050283">doi:10.1007/s100510050283</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/k3iach57fbeh7cpcrrqqnyt7ii">fatcat:k3iach57fbeh7cpcrrqqnyt7ii</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20081031183147/http://www.msc.univ-paris7.fr/~falcon/EPJB98a/EPJB98a.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/3c/67/3c6713066f1f40094162280968b77de275f500d7.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s100510050283"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Contact Impact Forces at Discontinuous 2-DOF Vibroimpact

V.A. Bazhenov, O.S. Pogorelova, T.G. Postnikova
<span title="2016-03-14">2016</span> <i title="Walter de Gruyter GmbH"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wgrrqvuxpjfnjncdowboblgzvq" style="color: black;">Applied Mathematics and Nonlinear Sciences</a> </i> &nbsp;
We simulate the impact by nonlinear contact interactive force according to Hertz's contact law. This paper is the continuation of the previous works [1,2].  ...  We have determined the instability zones and bifurcations points for loading curves [1] and frequency-amplitude response [2] under variation of excitation amplitude and frequency.  ...  Only local deformations in contact zone are taken into account by the Hertz's theory.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.21042/amns.2016.1.00014">doi:10.21042/amns.2016.1.00014</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/tah5uamavjcybc24tkf5minnpi">fatcat:tah5uamavjcybc24tkf5minnpi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190502084908/https://content.sciendo.com/downloadpdf/journals/amns/1/1/article-p183.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/4f/20/4f2057c13c394513632a2dfe7ec03f2546d3c6cd.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.21042/amns.2016.1.00014"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Realistic Haptics Interaction in Complex Virtual Environments [chapter]

Hanqiu Sun, Hui Che
<span title="2010-04-01">2010</span> <i title="InTech"> Advances in Haptics </i> &nbsp;
Hertz's contact theory based on solid bodies in contact is investigated to simulate the contact forces during the haptic tool-object interactions.  ...  Hertz's theory yields stresses, deformations, and the shape of the interface formed at the two contacting bodies.  ...  Authors from around the world present the results of their research on various issues in the field of haptics.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5772/8698">doi:10.5772/8698</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/bbj2br2j35ffdffvxqrhxb4dri">fatcat:bbj2br2j35ffdffvxqrhxb4dri</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180727093653/https://api.intechopen.com/chapter/pdf-download/9915" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/cd/b3/cdb36bf5406772d6261911398fbc2ac82529eeba.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5772/8698"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Professional interactions with Professor Erskine Crossley

Kenneth J. Waldron, Daniel A. Jacobs
<span title="">2015</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/omcybfmgv5a3redls67vzs5vfq" style="color: black;">Mechanism and Machine Theory</a> </i> &nbsp;
One of the first and most popular viscoelastic models based on Hertz's elastic theory was a dynamic model presented by Hunt and Crossley [4] .  ...  The most useful paper in the literature turned out to be one published in 1975 by Hunt and Crossley. The Hertz model is a local deformation model for linearly elastic solids.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.mechmachtheory.2014.11.002">doi:10.1016/j.mechmachtheory.2014.11.002</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/gzi7buhwbzebvpdltsx4apdriu">fatcat:gzi7buhwbzebvpdltsx4apdriu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180720195023/https://opus.lib.uts.edu.au/bitstream/10453/119150/4/2-s2.0-84926024344%20%20au.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/4f/d4/4fd4a7c55b953545339cc41f9c6150786ce4e95e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.mechmachtheory.2014.11.002"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Dangerous bifurcations in 2-dof vibroimpact system

V. A. BAZHENOV, O. S. Pogorelova, T. G. Postnikova
<span title="2016-09-23">2016</span> <i title="National Technical University Kharkiv Polytechnic Institute"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/agmgm46d7nalzf7ns26xai44au" style="color: black;">Bulletin of the National Technical University «KhPI» Series Dynamics and Strength of Machines</a> </i> &nbsp;
We simulate the impact by nonlinear contact interactive force according to Hertz's contact law. We find the discontinuous bifurcations by Floquet multipliers values.  ...  Under variation of system parameters we find the discontinuous bifurcations that are the dangerous ones. It is phenomenon unique to non-smooth systems with discontinuous right-hand side.  ...  To simulate the impact here we use the Hertz's contact interaction force based on quasistatic Hertz's theory[16, 17]: , 1 , 1 , ) ( 3 4 )] ( ) [( ) ( 2 2 2 2 1 2 1 1 2 1  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.20998/2078-9130.2016.26.82732">doi:10.20998/2078-9130.2016.26.82732</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/i72kb3lwk5drhhjr3duvwcohuu">fatcat:i72kb3lwk5drhhjr3duvwcohuu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180722035647/http://jdsm.khpi.edu.ua/article/download/82732/78923" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/c3/8f/c38f77bd8541e0b999bfc9da46133af215ffb15c.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.20998/2078-9130.2016.26.82732"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Model for collisions in granular gases

Nikolai V. Brilliantov, Frank Spahn, Jan-Martin Hertzsch, Thorsten Pöschel
<span title="1996-05-01">1996</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hphsuvsjtvgjvnloxbomufglhe" style="color: black;">Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics</a> </i> &nbsp;
We propose a model for collisions between particles of a granular material and calculate the restitution coefficients for the normal and tangential motion as functions of the impact velocity from considerations  ...  Existing models of impact with dissipation as well as the classical Hertz impact theory are included in the present model as special cases.  ...  A static model for the inelastic impact of metal bodies was presented in ͓39͔, which is based on the assumption of fully plastic indentation and constant mean contact pressure and leads analytically to  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreve.53.5382">doi:10.1103/physreve.53.5382</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/9964870">pmid:9964870</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ua4xluwsqbfwplhxenu4ipn4a4">fatcat:ua4xluwsqbfwplhxenu4ipn4a4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809110306/http://www2.le.ac.uk/departments/mathematics/extranet/staff-material/staff-profiles/nb144/papers-1/PREModCol96.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/f9/2c/f92c5c60bda6e67af12e3805631975d73596d9d2.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreve.53.5382"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> aps.org </button> </a>

Visco-elastic contact spring in numerical simulations of train – track system vibrations

Piotr Lalewicz, Politechnika Wrocławska, Danuta Bryja
<span title="2021-07-01">2021</span> <i title="Stowarzyszenie Inzynierow i Technikow Komunikacji RP"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/afxfs3v7xbfhdgwaub6jnzfcw4" style="color: black;">Transportation Overview - Przeglad Komunikacyjny</a> </i> &nbsp;
The reference contact model taken into account is linearized, perfectly elastic Hert'z spring. The second spring, proposed by the authors is enriched with viscous element based on hysteresis damping.  ...  In more detailed interaction models, the energy dissipation in wheel-rail contact is taken into account.  ...  the so-called Hertz's bond, i.e. a model in the form of an elastic bond with the characteristics determined on the basis of Hertz's contact theory.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.35117/a_eng_21_06_07_03">doi:10.35117/a_eng_21_06_07_03</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/7hpmfkdxnrdk3cocfkcksc2ihy">fatcat:7hpmfkdxnrdk3cocfkcksc2ihy</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20220424032331/https://transportation.overview.pwr.edu.pl/UPLOAD/BAZA-ARTYKULOW/ENG/2021/07/A_ENG_21_06_07_03.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/57/25/5725565be553ae895dabd7eddbef8f66969e3056.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.35117/a_eng_21_06_07_03"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Compliant contact force models in multibody dynamics: Evolution of the Hertz contact theory

Margarida Machado, Pedro Moreira, Paulo Flores, Hamid M. Lankarani
<span title="">2012</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/omcybfmgv5a3redls67vzs5vfq" style="color: black;">Mechanism and Machine Theory</a> </i> &nbsp;
However, no complete and systematic comparison has been done on these models, which provides information on their range of application and accuracy for use in different contact scenarios.  ...  The Hertzian contact theory remains the foundation for almost all of the available force models, but by itself, it is not appropriate for most impacts in practice, due to the amount of energy dissipated  ...  Orthoses (MIT-Pt/BSHHMS/0042/2008) and BIOJOINTS -Development of advanced biological joint models for human locomotion biomechanics (PTDC/EME-PME/099764/2008).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.mechmachtheory.2012.02.010">doi:10.1016/j.mechmachtheory.2012.02.010</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/liyu2nzlczff7fvhij3c4nn77y">fatcat:liyu2nzlczff7fvhij3c4nn77y</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170922021108/http://repositorium.sdum.uminho.pt/bitstream/1822/19623/1/6.7.32%202012.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/2d/95/2d9569771a708a4180053e22f823badce122e829.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.mechmachtheory.2012.02.010"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Finite element modelling of four edges simply supported steel plate under impact load

C.S. Chong, N.S.V.K. Rao, M. Mariappan
<span title="2018-01-17">2018</span> <i title="African Journals Online (AJOL)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/6ajqvmfpkzcbdn6olwjdq5g3fe" style="color: black;">Journal of Fundamental and Applied Sciences</a> </i> &nbsp;
In conventional static analysis, a magnification factor is used to represent the dynamic enhancement. not adequate for accurately modelling the severe loading condition.  ...  The main aim of this research is to study impact responses of four edges simply supported steel plate with finite element (FE) analysis software Abaqus, which simulated the colliding bodies.  ...  ACKNOWLEDGEMENTS Fig. 1 1 Fig.1 , Hertz's theory is a very useful approach for analyzing the collisions between rigid compact structures where the contact area is small if compare to the size of the  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4314/jfas.v9i3s.22">doi:10.4314/jfas.v9i3s.22</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vtovs7ko6jewnlkwqd2p4qexie">fatcat:vtovs7ko6jewnlkwqd2p4qexie</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180722174212/https://www.ajol.info/index.php/jfas/article/download/165172/154660" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/d7/c1/d7c13cdf14859fccd7d718da18aee98c9a01e6b4.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4314/jfas.v9i3s.22"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Modeling the dependence of the coefficient of restitution on the impact velocity in elasto-plastic collisions

Xiang Zhang, Loc Vu-Quoc
<span title="">2002</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/iiebrnrp4zcipcklwlnsnfbhlu" style="color: black;">International Journal of Impact Engineering</a> </i> &nbsp;
analysis to those of two recent normal force displacement models: One by Thornton (ASME J.  ...  The relationships among the coefficient of restitution, the incoming velocity, the collision time, the contact force/displacement, the normal pressure distribution are presented and discussed.  ...  Lee Lesburg, for their discussions, and Mr. Tam Trinh for his help in post-processing of the FEA results. We also thank Dr. W.J. Stronge for his papers and discussion.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0734-743x(01)00052-5">doi:10.1016/s0734-743x(01)00052-5</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/h5beupruxvg7rc6nonbtvcqn6e">fatcat:h5beupruxvg7rc6nonbtvcqn6e</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20070418125612/http://maesrv.mae.ufl.edu/~vql/pdf/ijie2002.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/90/62/906218504f3c3f3f4f36aa32a461c559024fec64.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0734-743x(01)00052-5"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Force model-based haptic master console design for teleoperated minimally invasive surgery application

Xuanchun Yin, Shuxiang Guo, Yu Wang
<span title="">2015</span> <i title="IEEE"> 2015 IEEE International Conference on Mechatronics and Automation (ICMA) </i> &nbsp;
fluids (MRFs), which can provide the haptic sensation based on the interaction force model.  ...  It is common needs for the teleoperated system to provide the haptic sensation to the surgeon.  ...  Therefore, the collision force between catheter tip and blood vessel should put the force obtained based on Hertzian theory and damping force together.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/icma.2015.7237579">doi:10.1109/icma.2015.7237579</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/4l62wpoxnfey3dkcrrk2pbikka">fatcat:4l62wpoxnfey3dkcrrk2pbikka</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20160731024635/http://guolab.org/Papers/2015/ICMA2015-134.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/74/1b/741b276cd093bef8ccf12b419d9c18f34b3fc3e7.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/icma.2015.7237579"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

A continuous contact force model for impact analysis in multibody dynamics [article]

Jie Zhang, Wenhao Li, Lei Zhao, Guangping He
<span title="2020-01-06">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
As it is almost impossible to obtain an analytical solution based on the system dynamic equation, an approximate dynamic equation for the collision system is proposed, achieving a good approximation of  ...  Numerical results of five different continuous contact models reveal the capability of our new model as well as the effect of the geometry of the contacting surfaces on the dynamic system response.  ...  kinetic energy is lost due to viscous dissipation during the collision, Hertz's theory is still accurate in predicting the collision time and the maximum contact area.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2001.01344v1">arXiv:2001.01344v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rcf7fkvirzb5vhmupe3gpa3qz4">fatcat:rcf7fkvirzb5vhmupe3gpa3qz4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200321075403/https://arxiv.org/ftp/arxiv/papers/2001/2001.01344.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2001.01344v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Experimental study and numerical simulation of the vertical bounce of a polymer ball over a wide temperature range

Julie Diani, Pierre Gilormini, Gerry Agbobada
<span title="2013-12-14">2013</span> <i title="Springer Nature America, Inc"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/n4bv66iz6zfuxh4w2lddwkbcdi" style="color: black;">Journal of Materials Science</a> </i> &nbsp;
An acrylate polymer ball is brought to a wide range of temperatures, covering its glass to rubbery transition, and let fall on a granite slab while the coefficient of restitution, duration of contact,  ...  Finite element simulations of the rebound at various temperatures are run, considering the material as viscoelatic and as satisfying a WLF equation for its time-temperature superposition property.  ...  Lédion for lending his thermal chamber, M. Schneider for making his digital oscilloscope available, and F. Coste for his advice on signal acquisition. Moreover, M.  ... 
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High-fidelity conical piezoelectric transducers and finite element models utilized to quantify elastic waves generated from ball collisions

Gregory C. McLaskey, Steven D. Glaser
<span title="2009-03-26">2009</span> <i title="SPIE"> Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2009 </i> &nbsp;
Both the collision and the resulting transient elastic waves are modeled with the finite element program ABAQUS and described theoretically through a marriage of the Hertz theory of contact and a full  ...  elastodynamic Green's function found using generalized ray theory.  ...  This paper describes experiments and models for a sensor calibration process using the collision of a sphere on a massive body as the forcing function.  ... 
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A continuous contact force model for impact analysis in multibody dynamics

Jie Zhang, Wenhao Li, Lei Zhao, Guangping He
<span title="">2020</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/omcybfmgv5a3redls67vzs5vfq" style="color: black;">Mechanism and Machine Theory</a> </i> &nbsp;
the effect of the geometry of the contacting surfaces on the dynamic system response.  ...  As it is almost impossible to obtain an analytical solution based on the system dynamic equation, an approximate dynamic equation for the collision system is proposed, achieving a good approximation of  ...  energy is lost due to viscous dissipation during the collision, Hertz's theory is still accurate in predicting the collision time and the maximum contact area.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.mechmachtheory.2020.103946">doi:10.1016/j.mechmachtheory.2020.103946</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/2e7z4ovlqjfjvo36337sq4uioq">fatcat:2e7z4ovlqjfjvo36337sq4uioq</a> </span>
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