多物体三维有摩擦弹性接触凝缩边界元法  

Three-dimension Multi-body Frictional Elastic ContactCondensation Boundary Element Method

作　　者：杨霞[1] 肖宏[2] 黄庆学[1] 陈泽军[3] 

机构地区：[1]太原科技大学,太原030024 [2]燕山大学机械工程学院,河北秦皇岛066004 [3]重庆大学材料科学与工程学院,重庆400044

出　　处：《太原科技大学学报》2013年第3期194-198,共5页Journal of Taiyuan University of Science and Technology

基　　金：973计划前期研究专项课题(2011CB612204);山西省国际合作项目(2012081015);太原科技大学科研启动项目(20112006)

摘　　要：基于工程需要,将三维边界元凝缩解法用于求解多物体摩擦型弹性接触问题。由于摩擦接触问题属于非线性问题,接触面的滑动引起能量的耗散,采用增量法来追踪整个载荷的历程,采用凝缩解法对边界矩阵方程进行求解。以三物体接触模型为例,阐述了多物体接触的边界积分方程的建立和边界矩阵方程的求解过程,以一计算实例说明本方法的正确性。According to the need of engineering, three-dimensional condensation Boundary Element Method （BEM） was used to solve multi-body frictional elastic contact problems, which belong to nonlinearity problems. Due to the energy dissipation on contact face, incremental method was adopted to trace the whole course of loading and the condensation method was used to realize the solution of boundary matrix equation. Taking three-body frictional elas- tic contact model as example, the establishment of boundary integral equation and the solving process of boundary matrix equation were illustrated. One calculation example was given to prove the validity of this method.

关 键 词：边界元法 凝缩解法 多物体 摩擦弹性接触问题 

分 类 号：TH133.3[机械工程—机械制造及自动化]