基于Matlab的壳体有限元分析

Finite Element Analysis of Shell Based on Matlab

根据超参数壳元的基本理论,用Matlab编写了超参数壳元的有限元程序。利用编写的程序对简支矩形板进行了静力分析,比较了利用超参数壳单元的计算值与解析值以及ANSYS计算值的差别。对圆柱壳进行了静力分析、模态分析及谐响应分析,比较了ANSYS和Matlab的计算结果。结果表明,Matlab程序计算结果与精确解或ANSYS解基本吻合,证明了本方法的可行性。

In this paper, the fundamental theory of subperparametric shell element was reviewed briefly and the finite element program for a simple shell structure was written based on Matlab language. At first, the static analysis for simply supported rectangular plate was carried out by Matlab program, the calculation results acquired by superparametric shell element were compared with the analytical solutions and the results obtained by ANSYS respectively. Then, the analyses of static responses and modes and harmonic response for cylinder shell were performed with existed program , the calculation results of static responses and modes acquired by Matlab were compared with the corresponding results obtained by ANSYS as well. The results indicated that the solutions obtained by using the Matlab program were in good agreement with analytical solutions or ANSYS, hence the efficiency and adaptability of the proposed method were verified.