论文部分内容阅读
提供了一种用于结构静响应快速分析的边界元摄动法。本方法把结构的形状改变看作其边界节点坐标在某一确定值邻域内的摄动,利用此边界元为基础的摄动理论,得到修改后结构的位移、面力、应力。给出了二阶摄动法与迭代摄动法的计算格式;并指出了其应用范围;算例证明了本方法的正确性和有效性。
A boundary element perturbation method is provided for rapid analysis of static response of structures. The method regards the shape change of the structure as the perturbation of the coordinates of its boundary nodes in a certain neighborhood of a certain value. By using the perturbation theory based on this boundary element, the displacement, facial force and stress of the modified structure are obtained. The computational format of second order perturbation method and iterative perturbation method is given. The application scope of the second order perturbation method and the iterative perturbation method are also pointed out. The examples prove the correctness and validity of the method.