文献类型：期刊文献

中文题名：索-梁耦合超静定结构的一种快速解析法

英文题名：A FAST ANALYTICAL METHOD FOR STATICALLY INDETERMINATE PROBLEMS OF CABLE-BEAM COUPLED STRUCTURES

作者：李银山[1];李彤[2];郭晓欢[3];李欣业[1]

机构：[1]河北工业大学力学系,天津300130;[2]华东理工大学机械与动力工程学院,上海200237;[3]河北工业大学土木工程学院,天津300130

年份：2014

卷号：31

期号：S1

起止页码：11

中文期刊名：工程力学

外文期刊名：Engineering Mechanics

收录：CSTPCD;;EI(收录号：20143017975887);Scopus;北大核心:【北大核心2011】；CSCD:【CSCD2013_2014】；

基金：国家自然科学基金项目(10632040)

语种：中文

中文关键词：斜拉桥;索-梁耦合;连续分段;一体化积分;索力优化

外文关键词：cable-stayed bridge,cable-beam couple,continuous subsection,systematic integral,cable force optimization

摘要：采用连续分段独立一体化积分法求解了索-梁耦合斜拉桥的优化设计问题。首先不考虑索-梁变形协调条件,采用连续分段独立一体化积分法求解了四跨索-梁耦合6次超静定连续梁的弯矩解析函数。然后按悬索作用点处的弯矩等于零计算索力,得到斜拉桥一次落架时的恒载内力状态;根据弯曲能量最小法与连续分段独立一体化积分法相结合快速求解得到了索力的最优解。最后考虑索-梁变形协调条件,采用连续分段独立一体化积分法求解了四跨索-梁耦合10次超静定连续梁,得到了剪力、弯矩、转角和挠度解析函数。工程实例表明,连续分段独立一体化积分法建立模型简单,计算编程程式化,可以快速求得最优的解析解。
A continuous subsection independently systematic integral method(CSISIM for short) is presented for solving coupled cable-beam optimization design problems in cable-stayed bridges. First, without considering the cable-beam deformation compatibility conditions, we solve the bending moment analytical functions of a six time statically indeterminant four-span coupled cable-continuous beam problem by CSISIM. And then, by making the bending moment at the cable's acting point equal to zero, we get the internal force state of the dead load for a cable-stayed bridge with a drop frame. By combining the minimum bending energy method and CSISIM, the optimal cable force solution is quickly obtained. Lastly, considering the cable-beam deformation compatibility conditions, we solve a ten times statically indeterminant four-span coupled cable-continuous beam problem by CSISIM. The analytic functions of shear force, bending moment, angle, and deflection are obtained. The engineering example shows that establishing a model using CSISIM is simple. Computer programming is systemized, so optimal analysis solutions can be quickly obtained.