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Theoretical Analysis and Numerical Algorithm for Frictionless Multiple Impacts in Multibody Systems

Caishan Liu , Zhen Zhao , Bernard Brogliato
[Research Report] 2008
Rapport inria-00204018v1
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Frictionless mutliple impacts in multibody systems. I Theoretical framework

Caishan Liu , Zhen Zhao , Bernard Brogliato
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2008, 464 (2100), pp.3193-3211. ⟨10.1098/rspa.2008.0078⟩
Article dans une revue hal-00755941v1
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Dynamics of planar rocking-blocks with Coulomb friction and unilateral constraints: comparisons between experimental and numerical data

Hongjian Zhang , Bernard Brogliato , Caishan Liu
Multibody System Dynamics, 2014, 32 (1), pp.1-25. ⟨10.1007/s11044-013-9356-9⟩
Article dans une revue hal-01629038v2
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Energy dissipation and dispersion effects in granular media

Zhen Zhao , Caishan Liu , Bernard Brogliato
Physical Review E , 2008, 78 (3), pp.031307:1-13. ⟨10.1103/PhysRevE.78.031307⟩
Article dans une revue hal-01633231v1
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Frictionless multiple impacts in multibody systems. II. Numerical algorithm and simulation results

Caishan Liu , Zhen Zhao , Bernard Brogliato
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2009, 465 (2101), pp.1-23. ⟨10.1098/rspa.2008.0079⟩
Article dans une revue hal-00755948v1
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Study of the Planar Rocking-Block Dynamics With Coulomb Friction: Critical Kinetic Angles

Hongjian Zhang , Bernard Brogliato , Caishan Liu
Journal of Computational and Nonlinear Dynamics, 2013, 8 (2), pp.11. ⟨10.1115/1.4007056⟩
Article dans une revue hal-00825590v1
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Analysis of a generalized kinematic impact law for multibody-multicontact systems, with application to the planar rocking block and chains of balls

Bernard Brogliato , Zhang Hongjian , Caishan Liu
Multibody System Dynamics, 2012, 27 (3), pp.351-382. ⟨10.1007/s11044-012-9301-3⟩
Article dans une revue hal-00825573v1
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Variable structure dynamics in a bouncing dimer

Caishan Liu , Zhen Zhao , Bernard Brogliato
[Research Report] RR-6718, INRIA. 2008
Rapport inria-00337482v1
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Planar dynamics of a rigid body system with frictional impacts. II Qualitative analysis and numerical simulations

Zhen Zhao , Caishan Liu , Bernard Brogliato
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2009, 465 (2107), pp.2267-2292. ⟨10.1098/rspa.2008.0520⟩
Article dans une revue hal-00755926v1
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Impact-contact dynamics in a disc-ball system

Caishan Liu , Hongjian Zhang , Zhao Zhen , Bernard Brogliato
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2013, 469 (2152), pp.20. ⟨10.1098/rspa.2012.0741⟩
Article dans une revue hal-00825597v1
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Asymptotic analysis of Painlevé' s paradox

Zhen Zhao , Caishan Liu , Chen Bin , Bernard Brogliato
Multibody System Dynamics, 2015, 35 (3), pp.299-319. ⟨10.1007/s11044-014-9448-1⟩
Article dans une revue hal-01232780v1