北京大学湍流与复杂系统国家重点实验室-学术论文

学术论文

13.Hongjian.Zhang, Bernard Brogliato, Caishan Liu. Study of the planar rocking-block dynamics with Coulomb friction: critical kinetic angles. ASME, J. Comput. Nonlinear Dynam.accepted, (Research paper)

12.Bernard Brogliato, Hongjian.Zhang, Caishan Liu. Analysis of a generalized kinematic impact law for multibody-multicontact systems, with application to the planar rocking block and chains of balls. Multibody Syst Dyn 27: 351–382, 2012, (Research paper)

11.Zhen Zhao, Caishan Liu*, Bernard Brogliato. Planar dynamics of a rigid body system with frictional impacts. Part II: Qualitative analysis and numerical simulations. Proc. R. Soc. A 465, 2267-2292, 2009 （Research paper）

10 .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)

9. 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)

8. Zhen Zhao, .Caishan Liu*, Bernard, Brogliato; Energy dissipation and dispersion effects in granular media, Phy. Rev. E, 78, 031307, 2008 (Research paper)

7. 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)

6, 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)

5. Zhen Zhao, .Caishan Liu*, Bin Chen, The Painlevé paradox studied at a 3D slender rod, Multibody Systems Dynamics, 19, 323-343, 2008, (Research paper)

4. 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)

3..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)

2. 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)

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