空间弹性接触问题有限元──线性互补方程解法  

The finite element method of space elastic contact problem-solution of linear complementary equation

作　　者：褚航[1] 侯朝胜[1] 

机构地区：[1]天津大学土木系,300072

出　　处：《福建建筑》2000年第5期24-25,共2页Fujian Architecture & Construction

摘　　要：变分不等方程是近代应用教学的新成果之一，近年来在力学和物理学中得到广泛的应用。变分不等方程经数值方法离散，导出相应线性互补方程，而线性互补方程已有一些较成熟的解法，如Lemke算法。本方法是以Lemke算法为核心，采用子结构进行降阶，从而对接触面上的开度和作用力进行讨论。Variation inequality equation is one of the new achievements in applying methematics, and recently has a widely application in mechanics and physics. We can deduce the linear complementary equation by disserting it, and the linear complarentary equation has had some mature solution, such as Lemke algorithm.This method use Lemke algorithm as core, adopting substructure to reduce exponent. In this way we can discuss the jaw opening and acting force between the interfaces.

关 键 词：线性互补方程 变分不等方程 接触面 有限元 空间 子结构 开度 算法 降阶 离散 

分 类 号：TU311[建筑科学—结构工程]