结构响应敏度计算的非协调元法  

ANALYTICAL RESPOND SENSITIVITY COMPUTATION USING INCOMPATIBLE ELEMENTS

作　　者：袁振[1] 吴长春[1] 李子然[1] 王凡 

机构地区：[1]中国科技大学力学与机械工程系,合肥230026

出　　处：《机械强度》2002年第1期59-61,共3页Journal of Mechanical Strength

基　　金：国家自然科学基金资助项目 (1 0 1 72 0 78)。~~

摘　　要：提出非协调元求解结构响应敏度的一般算法。介绍了非协调函数的一般生成方法和满足分片检验条件的一非协调元 ,建立了使用非协调元进行响应敏度计算的一般公式。最后 ,文中算例使用非协调元和协调等参元计算了结构响应的敏度值 ,并对二者的计算结果进行比较。数值验证表明 ,使用非协调元求得的敏度值比使用等参元的结果更好 ,非协调元更适合敏度分析。A general algorithm is presented for computation of respond sensitivity using analytical approach and incompatible elements. In particular, two types of two dimensional quadrilateral elements have been chosen in the process of sensitivity computation. A general approach is proposed to generate the incompatible functions which satisfy the patch test condition (PTC). One kind of incompatible elements generated according to PTC is also introduced which could suppress locking in numerical computation. And expressions have been derived for analytical response sensitivities computation using two dimensional incompatible elements. Numerical example has been presented to compute the sensitivity values and numerical results of incompatible elements have been compared with those of 4 node isoparametric compatible ones. The improvement in the accuracy of sensitivity values using incompatible element as compared with conventional isoparametric element is examined. It is observed that the sensitivity value using incompatible elements has the potential for obtaining accurate sensitivity.

关 键 词：结构响应 非协调元 敏度分析 分片检验 有限元 

分 类 号：TB122[理学—工程力学] TB115[理学—力学]