摩擦接触系统多极边界元法二次建模与数值优化  

2nd model building and numerical optimization using FM-BEM for contact problems

作　　者：于春肖[1] 于海源[1] 陈一鸣[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《燕山大学学报》2012年第3期265-268,共4页Journal of Yanshan University

基　　金：河北省自然科学基金资助项目(A2012203047);河北省教育厅重点资助项目(ZD2010116)

摘　　要：讨论了摩擦接触系统的建模与求解问题。将系统方程组的多极边界元法求解归结为变分问题并证明其等价性。在系统最优化数学模型的基础上,通过引入严格凸二次函数建立系统的二次规划模型,证明其最优解存在且唯一,并给出模型求解的最优性条件。Model building and Fast Multipole Boundary Element Method （FM-BEM） solution are studied for the flictional contact system. The solution of the system of equations is reduced to a variational problem. They are proved to be equivalent. On the basis of the optimization mathematical model for the frictional contact system, a quadratic programming model is established by intro- ducing a strictly convex quadratic function. Its optimum solution is demonstrated to be existent and unique. In addition, optimality conditions are presented for the new model.

关 键 词：变分问题 二次规划模型 存在唯一性 最优性条件 

分 类 号：O241[理学—计算数学] O221.2[理学—数学]