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斜拉桥合理成桥状态确定的序列二次规划法
引用本文:巩春领,陶海,吴文明,常英.斜拉桥合理成桥状态确定的序列二次规划法[J].上海力学,2005,26(2):305-309.
作者姓名:巩春领  陶海  吴文明  常英
作者单位:[1]同济大学桥梁工程系,上海200092 [2]湖北省交通规划设计院,湖北武汉430051
摘    要:本文首先介绍斜拉桥合理成桥状态的概念和现有的斜拉桥索力优化方法。然后基于序列二次规划(SQP)算法,提出了一种用于确定斜拉桥成桥合理状态的实用方法,序列二次规划法。该方法通过建立斜拉桥索力优化的非线性规划模型,以斜拉桥主梁和索塔的弯曲应变能为目标函数,以各斜拉索的索力为设计变量,结构的应力和索力为约束条件,并计人大跨度斜拉桥各种几何非线性因素的影响,采用强次可行序列二次规划法进行优化求解,确定斜拉桥成桥合理状态的索力。运用该方法和空间非线性有限元分析程序分析了某斜拉桥的合理成桥状态,计算结果表明该方法简单、有效。

关 键 词:斜拉桥  合理成桥状态  序列二次规划法
文章编号:0254-0053(2005)02-305-5
修稿时间:2004年10月26

Sequential Quadratic Programming Method for the Reasonable Finished Dead State of Cable-Stayed Bridges
GONG Chun-ling,TAO Hai,WU Wen-ming,CHANG Ying.Sequential Quadratic Programming Method for the Reasonable Finished Dead State of Cable-Stayed Bridges[J].Chinese Quarterly Mechanics,2005,26(2):305-309.
Authors:GONG Chun-ling  TAO Hai  WU Wen-ming  CHANG Ying
Institution:GONG Chun-ling1,TAO Hai1,WU Wen-ming1,CHANG Ying2
Abstract:In this paper, a concept of reasonable finished dead state of cable-stayed bridges and existing methods of cable tension optimization for cable-stayed bridges are firstly introduced. Secondly, by means of sequential quadratic programming (SQP) method, a practical optimization method (sequential quadratic programming method) for reasonable finished dead state of cable-stayed bridges is developed. In this method, a model for nonlinear optimization programming to obtain the pressing force of cables in cable-stayed bridge was established, in which the bending strain energy of the beams and cable tower of the bridge is the objective function, and the cable forces are design variable, the stress of structure or the cable force is the constrain condition. In order to determine the prestressing force of the cables, the influence of various geometrical nonlinearities which are characteristics of longspan cable-stayed bridge was adopted, and the strongly subfeasible sequential quadratic programming method was used to solve the program. This method is used to obtain set of optimal cable tensions of a cable-stayed bridge while the spatial nonlinear finite element program is employed, the result of analysis shows that the method is easy to apply and effective.
Keywords:cable-stayed bridge  reasonable finished dead state  sequential quadratic programming method
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