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动力优化设计的特点是重分析工作量大 ,计算效率低。为避免或减少重分析 ,将有限元单元阵进行了分解变换组装 ,使振幅与设计变量如截面面积、长度的复杂隐函数关系转化为对设计变量摄动参数的显式关系 ,进而将设计变量摄动参数提取在分解后的几个常数刚度阵、质量阵之外 ,避免了在迭代求解过程中重组刚度阵与质量阵 ,较快地获得问题的解。文中给出了摄动参数的几种取值方法。同理 ,根据本文的方法 ,可推广应用于其它基于有限元分析模型的工程结构系统
Power optimization design is characterized by heavy workload, low computational efficiency. In order to avoid or reduce the reanalysis, the finite element element array was decomposed and transformed and assembled, so that the complex implicit function relationship between amplitude and design variables such as cross-sectional area and length was transformed into the explicit relationship between the perturbed parameters of design variables and the design variables Perturbation parameter extraction in the decomposition of several constant stiffness matrix, the mass matrix, to avoid the iterative process of solving the stiffness matrix and the mass matrix, to obtain the solution faster. In this paper, several methods for determining perturbation parameters are given. Similarly, according to the method of this article, it can be extended to other engineering structural systems based on the finite element analysis model