优化设计中的拟网格原理(Ⅰ)

The principle of virtual mesh for structural optimization(Ⅰ)

在研究目标函数和约束条件的性质与允许误差的条件下 ,研究了断定全局优化方案就存在于变量网格结点中的若干个结点之间的问题 .提出了拟三维空间和超球体概念 ;导出了确定可计算的网格结点公式 。

The principle of the virtual mesh that the hyper sphere determined by the computable nodes which cover the general nodes in n is further proved in this paper. The optimum design method for virtual mesh is established, the formulae for assessing the amount of computation is derived, and a practical approach to the problem of 'computation explosion' existed in mesh method for dealing with a large dimension for a long time is suggested. It shows that the virtual mesh method is particularly applicable to the optimum computation for complex structures, and it helps to find the overall optimal solution by remarkably reduced computation.