结构优化的无初始随机复形法及其应用

Non-initial Random Complex Method of Structure Optimization and Its Application

本文主要考虑结构优化的理论和应用。为了得到一个更有效和快速的搜索结构设计最优解的技巧,作者提出了一个普遍的算法,称之为无初始随机复形法。运用这一方法能够形成一个计算最优解的自动迭代程序。作为该法的应用实例,文中讨论了几个平面框架结构的优化设计问题。通过这些实例可以显示出该法的下述三个优点:1.加快收敛速度;2.有利于求得总体极值;3.减少初始数据的输入,方便使用。

The major part of this paper is concerned with the theoretical and practical aspects of structure optimization. To achieve a more effective and rapid technique for the search of the optimum solution of structure design, the authors prosent a general algorithm called non initial random complex method, by which an automatic procedure can be followed to compute the optimum solution. As examples of the application of this method, the problem about the optimum design of plane frame structures is discussed. By these examples, the following three advantages have been reflected as: (1) to pick up the speed of convergency; (2) to the benefit of the search of the main extreme; (3) to reduce the initial entering data.