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Mathematical Programming Solution for the Frictional Contact Multipole BEM
引用本文:于春肖,申光宪,刘德义. Mathematical Programming Solution for the Frictional Contact Multipole BEM[J]. 清华大学学报, 2005, 10(1)
作者姓名:于春肖  申光宪  刘德义
作者单位:College of Science,Yanshan University,Qinhuangdao 066004,China,College of Mechanical Engineering,Yanshan University,Qinhuangdao 066004,China,College of Mechanical Engineering,Yanshan University,Qinhuangdao 066004,China
基金项目:Supported by the National Natural Science Foundation of China(No. 50075075)
摘    要:IntroductionElastic friction contact problems require accuratetracking of the movement of objects before and aftercontact and the interaction during contacts and correctsimulation of the frictional behavior between the con-tact surfaces. The boundary element method (BEM)[1,2]is well suited to accurately describe the variation of thefrictional contact conditions since the highly nonlineareffects only occur on the contact surface. For nonlinear frictional contact, various approacheshave been …


Mathematical Programming Solution for the Frictional Contact Multipole BEM
YU Chunxiao SHEN Guangxian LIU Deyi College of Science,Yanshan University,Qinhuangdao ,China,College of Mechanical Engineering,Yanshan University,Qinhuangdao ,China. Mathematical Programming Solution for the Frictional Contact Multipole BEM[J]. Tsinghua Science and Technology, 2005, 10(1)
Authors:YU Chunxiao SHEN Guangxian LIU Deyi College of Science  Yanshan University  Qinhuangdao   China  College of Mechanical Engineering  Yanshan University  Qinhuangdao   China
Affiliation:YU Chunxiao SHEN Guangxian LIU Deyi College of Science,Yanshan University,Qinhuangdao 066004,China,College of Mechanical Engineering,Yanshan University,Qinhuangdao 066004,China
Abstract:This paper presents a new mathematical model for the highly nonlinear problem of frictional con- tact. A programming model, multipole boundary element method (BEM), was developed for 3-D elastic con- tact with friction to replace the Monte Carlo method. A numerical example shows that the optimization pro- gramming model for the point-to-surface contact with friction and the fast optimization generalized minimal residual algorithm (GMRES(m)) significantly improve the analysis of such problems relative to the conven- tional BEM.
Keywords:nonlinear programming  generalized minimal residual algorithm (GMRES(m))  point-to-surface contact  multipole boundary element method  
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