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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 explore the multi-objective optimization design method for composite structural members, taking the multi-objective optimization design of steel reinforced concrete columns as the research background, based on the theory of engineering structure optimization and the theory of composite structure design, the optimization goal is set as the minimization of engineering cost And the shear strength of oblique section are maximized. The linear weighted method is used to construct the evaluation function, and the importance of the two optimization objectives in the optimization is adjusted by adjusting the weighting coefficients. At the same time, the design variables with higher sensitivity are chosen, considering various constraints , A mathematical model of multi-objective optimization design of steel reinforced concrete columns is given. With the optimization idea of complex method, MATLAB programming is used to solve the nonlinear optimization problem with constraints. The optimization design examples show that the optimization method and optimization ideas adopted are feasible and effective for the optimization design of SRC columns, which can provide references for the optimization design and engineering application of composite structural members.