基于参数曲面描述的层合壳体结构分析的分片Ritz法

Analysis of Laminated Shell Structure Using Piece-wise Ritz Method Based on Parametric Surface Description

为了对层合壳体结构进行准确和有效的分析 ,给出了基于分片参数曲面描述的适用于层合壳体结构分析的分片Ritz法。该方法首先将壳体结构的参考曲面进行分片处理 ,利用参数曲面来描述分片的壳体参考曲面并将分片按照C0 连续性进行拼接。构造壳体参考曲面分片上的具有参数曲面特征的Ritz法的试解函数 ,并得到相应问题的泛函和控制方程。最后给出了两个典型的层合壳体结构的数值算例 ,结果表明该方法准确有效。

A piece wise Ritz method to obtain a precise and valid solution used to analyze laminated shell structure is developed. In this method, the laminated shell structure is divided into patches and represented by parametric surfaces that are connected in boundary according to C0 continuity. The trial functions of Ritz procedure with parametric surface characteristics are constructed to get functional and governing equations. Finally, an illustrative example is given and the results show the correction and validity of present piece wise Ritz method.