离散变量结构优化的斐波那契算法  

Fibonacci Design Method for Structure Optimization with Discrete Variables

作　　者：曹春阳[1] 刘红艳[1] 董锦坤[1] 

机构地区：[1]辽宁工学院土木建筑系,辽宁锦州121001

出　　处：《辽宁工学院学报》2005年第1期34-36,共3页Journal of Liaoning Institute of Technology(Natural Science Edition)

摘　　要：根据工程实际,充分考虑规范规定的约束条件和各项技术标准要求,建立了建筑结构优化模型。利用斐波那契数列的规律,提出了离散变量结构优化设计的斐波那契算法。算例结果表明,该方法能直接计算具有应力约束和截面尺寸约束的离散变量结构优化问题,也能处理同时具有稳定约束和位移约束的多工况、多约束、多变量的离散变量结构优化设计问题。是一种理想建筑结构优化设计方法。On the basis of the practical engineering structure designs, the constraint conditions that the norm stipulated and the demand with various engineering standards sufficiently considered,a model of building structural optimization is derived. Moreover, Fibonacci design method was used for structural optimum design with discrete variables. The results by exemplification expatiate that this method can not only be used directly to work out the optimum structural design with discrete variables to constraints stress and cross-section area, but also can deal with the discrete structural optimization featured with multi-loading, multi-constraints and multi-variables. It is an ideal and optimum design method for various building structures.

关 键 词：算法 结构优化模型 斐波那契数列 结构优化设计 离散变量结构 优化设计方法 工程实际 标准要求 约束条件 优化问题 尺寸约束 应力约束 位移约束 设计问题 建筑结构 多工况 多约束 多变量 算例 截面 算具 理想 

分 类 号：O157.1[理学—数学] TP301.6[理学—基础数学]