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对弹性和弹—塑性钢结构的优化设计问题进行探讨,这些问题被归结为非线性离散优化问题。根据有限元方法,对问题的数学模型进行阐述,包括结构强度、刚度、稳定性。采用迭代法解决一些非线性优化问题,每次迭代包括选择型钢的横截面,从分类到解决离散规划线性问题。通过分支定界法,确保得到所需的离散横截面。
The optimization design problems of elastic and elastic-plastic steel structures are discussed. These problems are reduced to nonlinear discrete optimization problems. According to the finite element method, the mathematical model of the problem is elaborated, including structural strength, stiffness, and stability. The iterative method is used to solve some nonlinear optimization problems. Each iteration consists of selecting the cross section of the profile, from classification to solving the linear problem of discrete programming. By the branch and bound method, it is ensured that the desired discrete cross section is obtained.