层合壳体结构分析的分片Ritz法  

ANALYSIS OF LAMINATED SHELL STRUCTURE USING PIECE-WISE RITZ PROCEDURE

作　　者：徐延海[1] 贾丽萍[1] 张建武[1] 

机构地区：[1]上海交通大学机械与动力工程学院,上海200030

出　　处：《复合材料学报》2003年第1期45-50,共6页Acta Materiae Compositae Sinica

基　　金：教育部博士学科点基金项目(96024827)

摘　　要：　为了对层合壳体结构进行准确和有效的分析,给出了适用于层合壳体结构分析的分片方法并采用Ritz法进行问题的求解。该方法首先将壳体结构进行分片处理,利用参数曲面来描述分片的壳体结构并将分片进行拚接。在此基础上,构造分片上的具有参数曲面特征的Ritz法的试解函数,并写出相应的泛函和控制方程。最后给出了数值算例,算例表明该方法准确可靠。A piece-wise Ritz direct method for the analysis of laminated shell structure is developed in order to obtain a precise and effective solution to laminated shell problems. The semi-analytic solution is constructed by the Ritz procedure in two distinct steps. Firstly, the laminated shell structure under consideration is divided into patches and represented by parametric surfaces which are connected on common boundaries of C° continuity. The trial functions of the Ritz procedure with parametric surface characteristics are constructed for the total energy functional and governing equations thereafter. Numerical examples are given and it is shown through comparisons that the present method is fairly accurate.

关 键 词：层合壳体结构 分片Ritz法 非线性失稳状态 横向剪切效应 结构失稳破坏 

分 类 号：O342[理学—固体力学] TB330.1[理学—力学]