Frictionless multiple impacts in multibody systems. II. Numerical   algorithm and simulation results

doi:10.1098/rspa.2008.0079

CORC > 北京大学 > 工学院

	Frictionless multiple impacts in multibody systems. II. Numerical algorithm and simulation results
	Liu, Caishan ; Zhao, Zhen ; Brogliato, Bernard
刊名	proceedings of the royal society a mathematical physical and engineering sciences
	2009
关键词	impulse methods Darboux-Keller&apos stiff problem DYNAMICS s dynamics
DOI	10.1098/rspa.2008.0079
英文摘要	Part I of this paper develops a framework that is an extension of the Darboux-Keller shock dynamics towards frictionless multiple impacts between bodies composed of rate-independent materials. A numerical algorithm is proposed in this paper, in which the impulsive differential equation is discretized with respect to the primary impulse corresponding to the contact with the highest potential energy, and the integration step size is estimated at the momentum level. This algorithm respects the energetic constraints and avoids the stiff ordinary differential equation problem arising by directly using the compliant model. The well-known example of Newton's cradle, as well as Bernoulli's system, is used to illustrate the developments.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000261150500001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Multidisciplinary Sciences; SCI(E); EI; 24; ARTICLE; 2101; 1-23; 465
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/316115]
专题	工学院
推荐引用方式 GB/T 7714	Liu, Caishan,Zhao, Zhen,Brogliato, Bernard. Frictionless multiple impacts in multibody systems. II. Numerical algorithm and simulation results[J]. proceedings of the royal society a mathematical physical and engineering sciences,2009.
APA	Liu, Caishan,Zhao, Zhen,&Brogliato, Bernard.(2009).Frictionless multiple impacts in multibody systems. II. Numerical algorithm and simulation results.proceedings of the royal society a mathematical physical and engineering sciences.
MLA	Liu, Caishan,et al."Frictionless multiple impacts in multibody systems. II. Numerical algorithm and simulation results".proceedings of the royal society a mathematical physical and engineering sciences (2009).