基于扭转-滑移耦合约束的梁桥抗倾覆滑移整体稳定分析  

Overall Overturning and Sliding Stability Analysis of Girder Bridges Under Torsion⁃Slippage Coupling Constraints

作　　者：童上航 肖汝诚[1] 庄冬利[1] 孙斌[1] TONG Shanghang;XIAO Rucheng;ZHUANG Dongli;SUN Bin(Department of Bridge Engineering,Tongji University,Shanghai 200092,P.R.China)

机构地区：[1]同济大学桥梁工程系,上海200092

出　　处：《应用数学和力学》2023年第12期1441-1452,共12页Applied Mathematics and Mechanics

基　　金：国家自然科学基金项目(52378185)。

摘　　要：为了分析考虑支座失效的梁桥整体稳定问题,推导了七自由度曲梁单元刚度矩阵,并建立了部分支座脱空和滑移等情况下的边界约束方程,利用Newton-Raphson迭代法求解了含支座约束的有限元总方程,并提出了依据支座受力状态判断梁桥失稳模式的方法,编制了相应程序.以简支超静定曲梁为例,验证了所提出的七自由度曲梁单元的精度;进一步利用所提出方法分析了某匝道桥倒塌事故,通过对比传统杆系有限元方法,验证了所提出的方法能更精确地模拟各种支座失效情况下的梁桥平衡状态.To analyze the overall overturning and sliding stability of girder bridges with bearing failures,the stiffness matrix of the 7-DOF curved beam element was derived,and the constraint equations for the bearing detachment and slippage failures were presented.The finite element equation with the constraint equations was solved with the Newton-Raphson method.A process of judging the instability modes of girder bridges according to the bearing failures was established,and the corresponding program was compiled.The accuracy of the 7-DOF curved beam element was verified through calculation of a simply supported statically indeterminate curved beam.A curved ramp bridge collapse accident was analyzed with the proposed method.The results show that,the proposed method could more accurately simulate the equilibrium state of the girder bridge under vari-ous bearing failure conditions,in comparison with the traditional bar-system finite element model.

关 键 词：曲梁单元 约束方程 扭转-滑移耦合效应 倾覆 滑移 

分 类 号：U441.4[建筑科学—桥梁与隧道工程] O343.5[交通运输工程—道路与铁道工程]