Mathematical Programming Solution for the Frictional Contact Multipole BEM

• 作 者: 于春肖 申光宪 刘德义
• 机 构: College of Science, Yanshan University, Qinhuangdao 066004, China,College of Mechanical Engineering,
• 出 处: Tsinghua Science and Technology
• 发表日期: 2005年01期
• 关键词: frictional penetration contacts constraints interpolation constraint coordinates

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.

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 convenional BEM.