有间隙多层板接触分析的广义协调元法  

GENERALIZED CONFORMING ELEMENT METHOD FOR ANALYSING CONTACT PROBLEMS OF MULTILAYER PLATES WITH INTERSPACES

作　　者：邹佑学[1] 匡文起[1] 龙驭球[1] 

机构地区：[1]清华大学土木工程系,北京100084

出　　处：《工程力学》2005年第5期14-19,共6页Engineering Mechanics

摘　　要：从有间隙多层板接触系统分区广义势能泛函出发,以广义协调理论为基础,通过建立和分析板单元区、接触单元区的势能泛函,提出求解多层板接触问题的广义协调元法;并构造了广义协调矩形板-板接触单元PZC21。数值结果表明,单元PZC21具有较好的稳定性和收敛性。Contact problems of multilayer plates with interspaces are studied. The plate system is divided into four subregions： possible contact region Ωc, plate regions with no surface adjacent to Ωc, plate region with, only one surface adjacent to Ωc and plate region with both surfaces adjacent to region Ωc. By degenerating the element energy functional of each subregion, a new method using plate-plate contact elements is developed that is suitable to analyze contact problems of multilayer plates. A plate-plate contact element is constructed. The stability and the convergence of the element are found to be satisfactory. Examples of Mindlin-Reissner plates contacting with rigid foundation are studied.

关 键 词：板 接触 有限元 广义协调 势能泛函 

分 类 号：TU311[建筑科学—结构工程]