【摘要】 建立了拟直接网格优化法 ,导出了评估该法计算量的公式 ,从而为避免当维数n较大时网格法所存在的组合爆炸问题提供了一个可行途径 .实例计算证明 ,拟直接网格法特别适用于复杂结构的优化设计计算 ,并能在大幅度减少计算量的同时找到近似的全局最优方案 .更多还原

【Abstract】 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.更多还原