基于影响矩阵理论的悬索桥索力优化  

Optimization of Cable Force for Suspension Bridge Based on Influence Matrix Theory

作　　者：王会利[1] 秦泗凤[2] 李盛洋 

机构地区：[1]大连理工大学土木工程学院,辽宁大连116023 [2]大连大学材料破坏力学数值试验研究中心,辽宁大连116022 [3]湖北省交通规划设计院股份有限公司,湖北武汉430051

出　　处：《中国铁道科学》2017年第2期49-54,共6页China Railway Science

基　　金：国家留学基金资助项目(201506060044;201508210247);辽宁省教育厅科学研究项目(L2014027);中央高校基本科研业务费专项资金资助项目(DUT15QY34)

摘　　要：为了确定悬索桥合理的索力及主缆线形,基于影响矩阵理论提出悬索桥索力的优化方法。以恒载和假定的悬索桥初始索力为悬索桥的初始荷载,在初始荷载作用下形成悬索桥初始刚度的基础上,根据叠加原理得到悬索桥的影响矩阵;基于影响矩阵迭代更新索力,通过有限元计算恒载和索力作用下悬索桥的结构响应,直至收敛,从而得到悬索桥合理的索力及主缆线形。应用该方法对1座主跨为460m的双塔悬索桥进行索力优化,其计算结果与已有文献的计算结果基本一致,而且该方法优化的目标还可以包括内力、应力和位移等,收敛速度快,满足工程要求。In order to determine the reasonable cable force and main cable configuration for suspension bridge, an optimization method for cable force of suspension bridge was proposed based on influence matrix theory. The initial stiffness of suspension bridge was formed under initial loads, which included dead load and assumed initial cable force. According to the initial stiffness and superposition principle, the influence matrix of suspension bridge was obtained. Based on the influence matrix, cable forces were iterated and updated. The structural responses of suspension bridge under dead load and cable force were calculated by FEM. After convergence, the reasonable cable forces and main cable configuration of suspension bridge were obtained. The method was applied to optimize the cable force for a two-tower suspension bridge with the main span of 460 m. The calculated results were basically in agreement with the results of existing literature. Moreover, the method could also optimize the internal force, stress and displacement etc. The convergence speed was rapid and could meet engineering requirements.

关 键 词：悬索桥 影响矩阵 索力 优化 叠加原理 有限元法 

分 类 号：U448.25[建筑科学—桥梁与隧道工程]