Impact model resolution on Painleve&apos;s paradox

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	Impact model resolution on Painleve's paradox
	Zhao, Zhen ; Chen, Bin ; Liu, Caishan ; Jin, Hai
刊名	acta mechanica sinicalixue xuebao
	2004
英文摘要	Painleve's paradox is one of the basic difficulties for solving LCP of dynamic systems subjected to unilateral constraints. A bi-nonlinear parameterized impact model, consistent with dynamic principles and experimental results, is established on the localized and quasi-static impact model theory. Numerical simulations are carried out on the dynamic motion of Painleve's example. The results confirm impact without collision in the inconsistent states of the system. A critical normal force which brings an important effect on the future movement of the system in the indeterminate states is found. After the motion pattern for the impact process is obtained from numerical results, a rule of the velocity's jump that incorporates the tangential impact process is deduced by using an approximate impulse theory and the coefficient of restitution defined by Stronge. The results of the jump rule are quite precise if the system rigidity is big enough.; EI; 0; 6; 649-660; 20
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/262503]
专题	工学院
推荐引用方式 GB/T 7714	Zhao, Zhen,Chen, Bin,Liu, Caishan,et al. Impact model resolution on Painleve's paradox[J]. acta mechanica sinicalixue xuebao,2004.
APA	Zhao, Zhen,Chen, Bin,Liu, Caishan,&Jin, Hai.(2004).Impact model resolution on Painleve's paradox.acta mechanica sinicalixue xuebao.
MLA	Zhao, Zhen,et al."Impact model resolution on Painleve's paradox".acta mechanica sinicalixue xuebao (2004).