预应力混凝土斜拉桥空间非线性恒载索力优化

本文建立了斜拉桥索力优化的非线性规划模型,其中以斜拉桥主梁和索塔的弯曲应变能为目标函数,以各斜拉索的索力为设计变量,结构应力及索力为约束条件,采用一阶分析法进行求解,用以确定成桥合理状态的索力。在计算中,考虑大跨度斜拉桥各种几何非线性因素的影响,并列出了优化模型的具体表达式及优化过程中的关键求解策略。应用该法和空间非线性有限元分析程序分析了某大跨度预应力混凝土斜拉桥的合理成桥状态,计算结果表明:该方法简单、有效。

Spatial nonlinear cable force optimum for a prestressed concrete cable-stayed bridge under permanent loads

In this paper,a model for spatial nonlinear optimization programming to obtain the prestresses of cables in the cable-stayed bridge is established,in which the bending strain energy of the beams for the bridge and the cable tower is the objective function,and structural stresses and the cable forces is the constraint condition.In order to determine the prestresses of the cables of the bridge,the first order optimization method is used to solve the program.This method is used to obtain set of optimal cable tensions of a longspan prestressed concrete cable-stayed bridge under permanent loads,the result of analysis showed that the method is easy to apply and effective.