摘要
本文用拟协调方法研究了一类带有旋转自由度的平面膜元,讨论了九参数三角元、十二参数任意四边形元几种可能的各类场变量的选取搭配,得到了几个性能良好的九参数和十二参数带旋转自由度的拟协调平面元。所给出的单元列式简单,数值结果表明单元精度很高,尤其是任意四边形元QR4b性能最好。
The paper studies a kind of plane membrane elements with rotational degree of freedom by the quasi-conforming method,and discusses several possible choices and coordinations between variable fields of 9-parameter triangular element and 12-parameter quadrilateral element. Several 9-parameter and 12-parameter elements with rotational degree of freedom are obtained, whose performances are very good. The element formulation is simple, and numerical results show that the precision of the elements is high,especially the property of the quadrilateral element QR4b is excellent.
