一种厚薄通用的矩形壳元及其应用  

A Generic Rectangular Element for Thick and Thin Shell and Its Application

作　　者：汪群博 

机构地区：[1]西北工业大学,西安710072

出　　处：《科学技术与工程》2014年第7期83-87,共5页Science Technology and Engineering

基　　金：国家自然科学基金项目(11172238)资助

摘　　要：用含转角自由度的膜元和Mindlin板元组合,构造了一种厚薄通用的优质矩形壳元。算例验证表明该单元能有效地避免剪切闭锁和位移协调性问题;并且计算方法清晰,列式简单,具有准较高的确度性,可应用于一般工程实际问题。通过自编程序,进一步将该单元应用于薄膜的应力计算,可有效预测剪切薄膜的起皱区和起皱角。One kind of method conbined the membrane element with rotational degrees of freedom with Mindlin plate elements to construct a high quality rectangular shell element for thick and thin. The examples shows that the shell element can effectively avoid shear locking situation and the problem of displacement coordination, the method is easy to understand, the formulation is simple, the accuracy is better, and it can be used in practical engineering calculations. By writing programs, it be can used in calculating the stress of membrane, moreover, it can effectively predict the wrinkling zone and wrinkling angle of the shearing membrane.

关 键 词：有限元 矩形壳单元 转角自由度的膜单元 Mindlin板单元 

分 类 号：V414.3[航空宇航科学与技术—航空宇航推进理论与工程] V214.9