基于新型强次可行SQP法的斜拉桥合理成桥索力优化研究  

Study of Cable Force Optimization Based on a New Strongly Sub-feasible SQP Algorithm for Cable-Stayed Bridges in Rationally Completed Bridge State

作　　者：尹训强[1] 王桂萱[1] 薛志强 

机构地区：[1]大连大学土木工程技术研究与开发中心,辽宁大连116622 [2]山西华安建设项目管理有限公司,山西太原030006

出　　处：《世界桥梁》2016年第5期33-37,共5页World Bridges

摘　　要：为研究高效、合理的斜拉桥索力优化方法,以某双塔三跨斜拉桥为例,运用新型强次可行序列二次规划法(SQP法),采用MATLAB和MIDAS Civil软件编程实现索力的自动搜索优化计算。以主梁和桥塔的应变能建立目标函数,斜拉索索力为设计变量,主梁和桥塔的应力和位移作为约束条件。计算结果表明:新型强次可行SQP法应用于复杂斜拉桥索力优化,优化后索力与设计索力吻合良好,成桥状态主梁弯矩分布均匀,桥塔充分发挥其轴向承压能力,结构变形远小于规范限值,为斜拉桥的索力优化提供了新的高效解决思路。To find out a highly efficient cable force optimization method,a three-span cablestayed bridge with two pylons was cited as an example.The new Sequential Quadratic Programming（SQP）algorithm of strongly sub-feasible directions was adopted and the MATLAB and MIDAS Civil software were used for programming so as to realize the automated searching and optimizing calculation of the cable forces.The strain energies of the main girder and pylons were chosen to establish the target formula,with the cable forces as the design variables and the stress and displacement of the main girder and pylons as the restraints.The results of the calculation indicate that when the new SQP algorithm of strongly sub-feasible directions is used to the complex cable force optimization,the cable forces after optimization agree well with the designed cable forces,the bending moment of the main girder in the completed bridge state exhibits uniform distribution,the pylons fully display their axial load bearing capacity and the structural deformation is far less than the limit values prescribed in the codes.And it is a highly efficient cable force optimization method for cable-stayed bridges.

关 键 词：斜拉桥 合理成桥状态 新型强次可行SQP法 索力 优化 弯矩 轴力 位移 

分 类 号：U448.27[建筑科学—桥梁与隧道工程] U443.38[交通运输工程—道路与铁道工程]