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将斜拉桥的索力优化问题归结为一阶优化的数学模型,以系统最小弯曲应变能为目标,根据合理成桥状态指定各种边界约束条件,利用投影梯度法进行优化问题的求解。采用Ansys软件建立了斜拉桥的有限元模型,然后据此建立斜拉索索力优化的数学模型,并进行优化计算。结果表明:优化后的索力呈均匀变化趋势,且结构内力状态得到了极大改善,增强了主梁和索塔的强度安全储备。
The cable force optimization problem of cable-stayed bridge is reduced to the first-order optimization mathematical model. The minimum bending strain energy of the system is taken as the goal. According to the reasonable boundary conditions, various boundary conditions are specified, and the projection gradient method is used to solve the optimization problem. Ansys software was used to establish the finite element model of cable-stayed bridge. Based on this, the mathematical model of cable tension optimization was established and optimized. The results show that the optimized cable force shows a uniform trend, and the internal forces of the structure have been greatly improved, which enhances the strength and safety of the main girder and the pylon.