Abstract：A dynamic formulation based on the component mode synthesis method was proposed for solving the oblique contact-impact problems in multibody systems. The contact bodies were divided into the contact zone part and un-contact zone part. The degrees of freedom of the un-contact zone part were reduced by the modal reduction, which improves the computational efficiency on condition that the accuracy is guaranteed. Impacts in the normal direction and tangential direction were modeled using the penalty method and the modified Coulumb friction model respectively. A contact system consisting a steel rod and a PVC plate was considered. An eccentric collision considering the friction effects was investigated experimentally, and the strain and velocity response of the plate were measured by the strain gauges and the 3D-DIC measuring technique. The comparison between the numerical results and experimental results proves the accuracy of the formulation proposed. Meanwhile, the influence of the relative velocity on the friction coefficient was investigated.
陈 鹏， 刘锦阳，洪嘉振. 考虑摩擦的柔性多体系统斜碰撞理论与实验研究[J]. 振动与冲击, 2018, 37(1): 1-7.
CHEN Peng,LIU Jinyang, HONG Jiazhen . Simulation and experimental investigation on the eccentric collision in multi-body systems considering the friction effect. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(1): 1-7.
[1] Shlomo Djerassi: Collision with friction; Part A: Newton’s hypothesis. Multibody Syst Dyn (2009) 21: 37-54 DOI 10.1007/S11044-008-9126-2
[2] Shlomo Djerassi: Collision with friction; Part B: Poisson’s and Stornge’s hypothesis. Multibody Syst Dyn (2009) 21: 55-70 DOI 10.1007/S11044-008-9127-1
[3] Shlomo Djerassi: Three-dimensional, one-point collision with friction. Multibody Syst Dyn (2012) 27: 173-195 DOI 10.1007/S11044-011-9287-2
[4] Timoshenko S P, Gere J M. Theory of elastic stability[M]. Courier Dover Publications, 2009.
[5] .Schiehlen W, Seifried R, Eberhard P. Elastoplastic phenomena in multibody impact dynamics[J]. Computer methods in applied mechanics and engineering, 2006, 195(50): 6874-6890.
[6] Seifried R, Schiehlen W, Eberhard P. The role of the coefficient of restitution on impact problems in multi-body dynamics[J]. Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 2010, 224(3): 279-306
[7] 韩石磊, 洪嘉振. 柔性多体碰撞问题的多变量方法[J]. 力学学报, 2011, 43(5):886-893.
Han S L, Hong J Z. Multi-variable method for flexible multi-body systems with contact/impact[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(5): 886-893.
[8] Chen P, Liu J Y, Hong J Z. An efficient formulation based on the Lagrangian method for contact–impact analysis of flexible multi-body system[J]. Acta Mechanica Sinica, 2016(2):1-9.
[9] Hu B, Schiehlen W, Eberhard P. Comparison of analytical and experimental results for longitudinal impacts on elastic rods[J]. Journal of Vibration and Control, 2003, 9(1-2): 157-174.
[10] 董富祥. 刚柔耦合多体系统碰撞动力学建模理论与实验研究[D]. 上海：上海交通大学，2010
Dong fuxiang. Study of modeling theory and experiment for impact dynamics of rigid-flexible coupling multibody systems. [D] Shanghai: Shanghai Jiaotong university, 2010
[11] Wang H, Xie H, Wu L, et al. Study on the effect of DIC deformation sensor on mechanical property of substrate[J]. Measurement, 2014, 49: 283-288.
[12] Zienkiewicz O C, Taylor R L. The finite element method: solid mechanics[M]. Butterworth-heinemann, 2000.
[13] Lin Y, Qin J, Lu F, et al. Dynamic friction coefficient of two plastics against aluminum under impact loading[J]. Tribology International, 2014, 79: 26-31.
[14] Popov V. Contact mechanics and friction: physical principles and applications[M]. Springer Science & Business Media, 2010.
