摘要
本文根据修正势能原理通过广义协调方法提出了一种列式简单的平板型矩形壳元GCR24。它在四个角点处各有六个自由度,总共二十四个自由度。作为一种极限协调元,单元的收敛性得到保证,并且不发生薄膜闭锁现象。通过标准问题的数值检验,表明本文提出的平板型矩形薄壳元是性能可靠、计算精度高的优质单元。
Based on the modified potential energy functional,a flat rectangular thin shell leementGCR 24 with simple formulation is developed by using the approach of generalized conformingelement.The element has 24 degrees of freedom. As being a limiting-conforming element,itsconvergence is guaranteed. In addition,there is no membrane locking within the element.Thenumerical test problems reported in this paper demonstrate that the performance of proposed flatrectangular shell element is excellent.
基金
国家自然科学基金
关键词
广义协调
矩形单元
结构力学
壳体
finite element,generalized conforming,flat thin shell element,rectangular element