基于粒子群算法的斜拉桥恒载索力优化  

Optimization of dead load of cable-stayed bridge based on particle swarm algorithm

作　　者：赵凯 樊建房 ZHAO Kai;FAN Jianfang(Shandong Expressway Engineering Inspection Co. , Ltd. , Jinan 250000, China;Shandong Ludong Luqiao Co. ,Ltd. ,Dongying 257000,China)

机构地区：[1]山东高速工程检测有限公司,山东济南250000 [2]山东鲁东路桥有限责任公司,山东东营257000

出　　处：《山东交通学院学报》2020年第3期48-55,共8页Journal of Shandong Jiaotong University

摘　　要：为了优化斜拉桥恒载索力,将斜拉桥主梁与主塔的弯曲应变能之和作为目标函数,拉索索力、主塔与主梁的位移、应力等作为约束条件,建立斜拉桥恒载索力有限元模型,确定全桥各个单元内力、位移的高阶影响矩阵。利用罚函数法将目标函数与约束条件转变为无约束优化问题,利用粒子群算法找寻无约束目标函数的全局最优适应度,以此得出斜拉桥最优成桥索力。研究发现:粒子群优化算法能在给定约束条件下找寻结构最优状态,该方法简便、有效、实用性强,能降低人工调索的影响,容易获得接近真实成桥状态的索力。In order to optimize the dead load of the cable-stayed bridge,the sum of the bending strain energy of the main beam and the main tower of the cable-stayed bridge is taken as the objective function.The cable force,the displacement and stress of the main beam and the main tower are used as the constraint conditions.The finite element model of the dead load of the cable-stayed bridge is established to determine the high-order influence matrix of the force and displacement in each element of the full bridge.The penalty function method is used to change the objective function and constraint conditions into an unconstrained optimization problem,and the particle swarm algorithm is used to find the global optimal adaptability of the unconstrained objective function so as to obtain the optimal cable force value of the cable-stayed bridge.The study finds that the particle group optimization algorithm can find the optimal state of the structure under the conditions of the given constraints.The method is simple,effective,and practical.Also,it reduces the effect of manual tuning and more effectively obtains a near-bridged state.

关 键 词：斜拉桥恒载索力 粒子群优化算法 弯曲应变能 罚函数 

分 类 号：U448.27[建筑科学—桥梁与隧道工程]