基于影响矩阵和粒子群算法的异形斜拉桥调索

斜拉桥的合理成桥索力的确定是斜拉桥设计和施工中的关键环节，获取符合条件的初索力是建立桥梁的有限元模型、完成施工阶段的分析和施工索力监测的基础。异形斜拉桥的结构相对比较复杂，其受力特点不同于常规的斜拉桥，传统的迭代法或具有不适用性，且迭代法需要进行多次试算，过程较为繁琐。粒子群算法可以高效便捷地得到合理的成桥状态，实现索力优化的自动化和智能化。为验证结合粒子群算法的索力优化方法的可行性，以某异形斜拉桥项目为背景，建立三维有限元模型，结合影响矩阵法和粒子群算法编MATLAB程序对桥梁斜拉索的初始索力进行求解，并与传统迭代法的优化结果进行比较，验证该方法的可行性。结果表明：传统迭代法在优化结构较复杂的异形斜拉桥时具有局限性，基于影响矩阵和粒子群算法的索力优化方法能够用来自动化求解结构较为复杂的异形斜拉桥的初始索力群，优化过程简便、高效。

Cable Force Adjustment of Special-shaped Cable-stayed Bridge Based on Influence Matrix and Particle Swarm Optimization

The determination of the reasonable cable force of cable-stayed bridge is the key link in the design and construction of cable-stayed bridge, and obtaining the initial cable force conforming to the conditions is the foundation of establishing the finite element model of the bridge, completing the analysis of the construction stage and the monitoring of the construction cable force. The structure of special-shaped cable-stayed bridge is relatively complex, and its stress characteristics are different from that of conventional cable-stayed bridge. The traditional iterative method may not be applicable, and the iterative method needs to carry out several trial calculations, so the process is more complicated. The particle swarm optimization can obtain the reasonable bridge state efficiently and conveniently, and realize the automation and intelligence of cable force optimization. In order to verify the feasibility of the cable force optimization method combined with particle swarm optimization, a three-dimensional finite element model is established on the background of a special-shaped cable-stayed bridge project. Combined with the influence matrix method and particle swarm optimization, a MATLAB program is wrote to solve the initial cable force of the bridge stayed cable, and compared with the optimization results of the traditional iterative method, the feasibility of the method is verified. The results show that the traditional iterative method has the limitations in the optimization of special-shaped cable-stayed Bridges with complex structures. The optimization method of cable force based on the influence matrix and particle swarm optimization can be used to automatically solve the initial cable groups of special-shaped cable-stayed bridges with complex structures. The optimization process is simple and efficient.