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代表性论文：（标注*为通讯作者）
1. Caishan Liu*, Zhen Zhao, Bernard, Brogliato;  Frictionless multiple impacts in multibody systems. I. Theoretical framework, Proc. R. Soc. A, 464, 3193–3211, 2008 ( Research paper)
 
2. Caishan Liu*, Zhen Zhao, Bernard, Brogliato;  Frictionless multiple impacts in multibody systems. II. Numerical algorithm and simulation results, Proc. R. Soc. A, (published online,  doi:10.1098/rspa.2008.0079),  2008, (Research paper)
 
3. Zhen Zhao, .Caishan Liu*, Bernard, Brogliato; Energy dissipation and dispersion effects in granular media, Phy. Rev. E, 78, 031307, 2008 (Research paper)
 
4. Zhen Zhao, .Caishan Liu*, Bin Chen, Wei Ma, Experimental investigation of the Painleve Paradox in a Robotic system, ASME, J. Appl. Mech. 75, No.4,  041006, 2008  (Research paper)
 
5. Wei Ma, .Caishan Liu*, Bin Chen, Lin Huang, Theoretical model for the pulse dynamics in a long granular chain, Phy. Rev. E, 74, 046602, 2006 (Research paper)
 
6. Zhen Zhao, .Caishan Liu*, Bin Chen, The Painlevé paradox studied at a 3D slender rod, Multibody Systems Dynamics, 19, 323-343, 2008, (Research paper)
 
7. Caishan Liu*,  Ke Zhang, Rei Yang, The FEM analysis and approximate model for cylindrical joints with clearances, Mechanism and Machine Theory 42, 183–197, 2007, (Research paper)
 
8. Caishan Liu*, Zhen Zhao, Bin Chen, The bouncing motion appearing in a robotic system with unilateral constraint, Nonlinear Dynamics, 49:217–232, 2007, (Research Paper)
 
9. Caishan Liu*, Ke Zhang, Rei Yang, Normal Force-Displacement Relationship of Spherical Joints With Clearances, ASME, J. Comput. Nonlinear Dynam., 1, No.1, 160, 2006,  (Research paper)
 

10. Zhen Zhao, .Caishan Liu*, The analysis and simulation for three-dimensional impact with friction, Multibody Syst Dyn 18: 511–530, 2007, (Research paper)


11. Liu, Caishan*, Ke Zhang, and Lei Yang. "The compliance contact model of cylindrical joints with clearances." Acta Mechanica Sinica 21.5 (2005): 451-458. (Research paper)


12. Zhao, Zhen, Caishan Liu*, and Bernard Brogliato. "Planar dynamics of a rigid body system with frictional impacts. II. Qualitative analysis and numerical simulations." Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences. Vol. 465. No. 2107. The Royal Society, 2009.(Research paper)


13. Liang, Jianxun, Ou Ma, and Caishan Liu*. "Model reduction of contact dynamics simulation using a modified Lyapunov balancing method."Frontiers of Mechanical Engineering 6.4 (2011): 383-391.(Research paper)


14. Caishan Liu*, et al. "Impact–contact dynamics in a disc–ball system."Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences. Vol. 469. No. 2152. The Royal Society, 2013.(Research paper)


15. Wang, Jiao, Caishan Liu*, Yanbin Jia, Daolin Ma. "Ratchet rotation of a 3D dimer on a vibrating plate." The European Physical Journal E 37.1 (2014): 1-13.(Research paper)


16. Zhang, Hongjian, Bernard Brogliato, and Caishan Liu*. "Dynamics of planar rocking-blocks with Coulomb friction and unilateral constraints: comparisons between experimental and numerical data." Multibody System Dynamics32.1 (2014): 1-25.(Research paper)


17. Wang, Jiao, Caishan Liu*, and Zhen Zhao. "Nonsmooth dynamics of a 3D rigid body on a vibrating plate." Multibody System Dynamics 32.2 (2014): 217-239.(Research paper)


18. Ma, Daolin, Caishan Liu*, Zhen Zhao, Hongjian Zhan. "Rolling friction and energy dissipation in a spinning disc."Proc. R. Soc. A. Vol. 470. No. 2169. The Royal Society, 2014.(Research paper)


19. Zhao, Zhen, Caishan Liu*, Chen, Bin, Bernard Brogliato. "Asymptotic analysis of Painlevé’s paradox." Multibody System Dynamics 35.3 (2015): 299-319.(Research paper)


20. Zhao, Zhen, and Caishan Liu*. "Contact constraints and dynamical equations in Lagrangian systems." Multibody System Dynamics (2015): 1-23.(Research paper)


21. Zhao, Zhen, Caishan Liu*, and Wei Ma. "Characteristics of steady vibration in a rotating hub–beam system." Journal of Sound and Vibration 363 (2016): 571-583.(Research paper)