厚薄通用三角形三结点平板壳元TSLT18

Triangular flat-shell element TSLT18 for analysis of thick and thin shells

高性能有限元模型对于壳体结构分析有着重要意义。该文提出了一种新型三角形三结点平板壳元TSLT18。其膜元部分采用含附加刚体转动自由度的广义协调膜元GT9,为了消除一点缩减积分带来的多余零能模式及沙漏现象,推导并使用了该单元的稳定化矩阵;弯曲部分采用的是基于合理剪应变插值方案和SemiLoof约束条件的广义协调厚薄板单元TLSL-T9。数值算例表明,TSLT18不仅列式简单,保证收敛,而且精度高,适用性强,没有任何数值问题,是一类高效实用高性能单元。

High performance finite element models greatly enhance the analysis of shell structures. This paper presents a new simple 3node triangular flatshell element, denoted as TSLT18, based on element GT9, a generalized conforming membrane element with rigid rotational motion as the membrane part of TSLT18. Onepoint reduced integration and a stabilization matrix are used to avoid membrane locking and hourglass problems. Then a generalized conforming KirchhoffMindlin plate element, TLSLT9, was developed based on the SemiLoof constrain conditions and a rational shear strain interpolation approach as the bending part of TSLT18. Numerical results show that the proposed element is valid for both thin and thick plates and shells; has a relatively simple formulation without any numerical difficulties; is accurate and provides good convergence for arbitrary mesh divisions. Hence, the element TSLT18 will facilitate shell analysis and applications in practical engineering problems.