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本文将预应力结构的优化设计作为两个问题考虑: 一、给定结构布局、几何尺寸和杆件截面{A},在多种工况和约束(应力、变位和预拉力约束)下求最优的预拉力{T},使结构的承载能力最高。 二、给定结构布局和几何尺寸,在给定的多种工况和约束(应力、变位、尺寸和预拉力约束)下,求最优的截面{A}和最优的预拉力{T},使结构用材最少或价格最低。 “问题一”可以用线性规划来解,“问题二”可以利用类似于满应力准则的办法用一序列“问题一”来逼近,所作的有限的数值实验表明这个方法收敛得相当快。
This paper considers the optimal design of prestressed structures as two issues to consider: 1. Given structural layout, geometric dimensions, and bar sections {A}, under various operating conditions and constraints (stress, displacement, and pretension constraints) The optimal pretension {T} gives the structure the highest load carrying capacity. Second, given the structural layout and geometric dimensions, under a given variety of conditions and constraints (stress, displacement, size and pretension constraints), find the optimal section {A} and the optimal pretension {T. }, To minimize the use of structural timber or the lowest price. “Problem One” can be solved by linear programming. “Problem Two” can be approximated by a sequence of “Problem One” using a method similar to the full stress criterion. The limited numerical experiments show that this method converges fairly quickly.