型钢混凝土柱多目标优化设计方法研究

STUDY ON MULTI-OBJECTIVE OPTIMIZATION DESIGN METHOD FOR SRC COLUMNS

为探讨适用于组合结构构件的多目标优化设计方法,以型钢混凝土柱多目标优化设计为研究背景,在工程结构优化理论及组合结构设计理论的基础上,将优化目标设定为工程造价最小化和斜截面抗剪承载力最大化,采用线性加权法构造评价函数,通过调整加权系数来改变两个优化目标在优化中的重要程度,同时选择灵敏度较高的设计变量,综合考虑各种约束条件,给出了型钢混凝土柱多目标优化设计的数学模型,并借助复形法的优化思想,利用MATLAB编程求解有约束条件的非线性优化问题。优化设计实例表明,所采取的优化方法和优化思路对型钢混凝土柱优化设计是可行、有效的,可为组合结构构件的优化设计及工程应用提供参考。

In order to study the suitable multi-objective optimization design method of components for composite structure,this paper takes the multi-objective optimization design of SRC columns as an example.According to the thoughts of engineering optimization and the theory of composite structure design,the minimum of the project cost and the maximum of the diagonal shear capacity are taken as the optimization objectives whose importance can be adjusted by weighting factors and the linear weighted method is used to establish evaluation function which changes multi-objective into single-objective in optimization.Taking the various constraints into consideration and choosing the sensitive design variables,the mathematical model of the multi-objective optimization design for SRC columns is provided.Based on the optimization thought of the complex method,the nonlinear optimization problems with constrained conditions are solved by MATLAB program.The practical example shows that the optimization method and thought presented in this paper are feasible and effective to SRC columns,which provides experinece for optimization design of members for composite structures and engineering reference and application.