对处于弯矩作用下特定的槽钢截面的优化设计,主要采用两个标准来研究:薄壁梁的横截面积和梁的挠度。以横截面的几何参数为设计变量,其他约束包括整体和局部稳定条件、强度条件、以几何关系表示的技术或建造要求。本文主要以Pareto优化概念作为解决方案的基础,程序考虑了离散、连续、离散-连续等一系列设计变量。文中列举了数值分析结果,并加以讨论,最后指出将来的研究方向。 Optimum design of a given cross-section of a channel under bending moment mainly uses two criteria to study: the cross-sectional area of ​​the thin-walled beam and the deflection of the beam. The geometric parameters of the cross-section are used as design variables. Other constraints include global and local stability conditions, strength conditions, technical or construction requirements expressed in geometric terms. In this paper, the Pareto optimization concept is used as the basis of the solution. The program considers a series of design variables such as discrete, continuous, discrete-continuous and so on. In this paper, the numerical analysis results are listed and discussed, and finally the future research directions are pointed out.