基于信赖域优化算法的斜拉桥索力优化设计

运用有约束的优化算法并结合具有很强全局收敛性的信赖域算法,并借助MATLAB和ANSYS软件进行混合编程调用计算结果来实现对索力的优化计算。通过对实例斜拉桥索力的优化计算结果与通用的优化计算结果的比较,结果证明信赖域优化算法应用于斜拉桥的索力的优化结果可靠,并能实现多种优化方案的比选,尤其适用于初步设计阶段。通过对是否考虑斜拉索几何非线性影响结果的比较,结果证明中等跨径的斜拉桥可以忽略斜拉索几何非线性的影响,在满足工程设计的精度要求的同时还可以简化计算和提高求解的速度。

Optimal Tension Design for Cable-stayed Bridges Based on Trust Region Algorithm

Cable tension was optimized for cable-stayed bridge by using the constrained optimization algorithm and the trust region algorithm which has strong global convergence with help of MATLAB and ANSYS software to call the results of mixed programming.Optimal cable tensions of the example bridge were calculated and compared with the original design results.The result shows that the optimal cable tension design by using the trust region algorithm is feasible and can be used easily to realize multi-scheme selection.It is especially suitable for preliminary design.By comparing the results of considering the nonlinear geometric effects or not,it was concluded that the nonlinear geometric effects on cables can be ingored for the medium span cable-stayed bridge.The results can not only meet the precision requirement of engineering design,but also simplify the calculation and improve the speed of solving.