文章基本信息

标题：Modelling Of Frictionless Contact/Impact Problems In Explicit Dynamics
本地全文：下载
作者：M. Luege ; D. R. J. Owen ; J. Yu 等
期刊名称：Mecánica Computacional
印刷版ISSN：2591-3522
出版年度：2007
期号：1
页码：1531-1548
语种：English
出版社：CIMEC-INTEC-CONICET-UNL
摘要：In this paper, a constitutive equation for frictionless contact to be used in an explicit transient dynamic setting is derived. The use of standard penalty formulation with high values of the penalty coefficients may lead to spurious oscillations in the response of the system and consequent generation of fictitious energy within the system. Thus, several issues related to the stability of the system, such as penalty selection, energy conservation and contact force oscillation, among others, are addressed. In the mathematical formulation of the problem, the momentum balance equations and boundary conditions are imposed for each body separately, along with the constraints that govern the interaction, i.e., the impenetrability and persistency condition. The constitutive contact equation is derived from the first and the second laws of thermodynamics which are carefully formulated with reference to the dynamic behaviour of the system. The time integration of the constitutive contact equation is consistent with the global scheme. Representative numerical simulations are finally given which illustrate the performance of the proposed formulation.
其他摘要：In this paper, a constitutive equation for frictionless contact to be used in an explicit transient dynamic setting is derived. The use of standard penalty formulation with high values of the penalty coefficients may lead to spurious oscillations in the response of the system and consequent generation of fictitious energy within the system. Thus, several issues related to the stability of the system, such as penalty selection, energy conservation and contact force oscillation, among others, are addressed. In the mathematical formulation of the problem, the momentum balance equations and boundary conditions are imposed for each body separately, along with the constraints that govern the interaction, i.e., the impenetrability and persistency condition. The constitutive contact equation is derived from the first and the second laws of thermodynamics which are carefully formulated with reference to the dynamic behaviour of the system. The time integration of the constitutive contact equation is consistent with the global scheme. Representative numerical simulations are finally given which illustrate the performance of the proposed formulation.