应用数学和力学2023,Vol.44Issue(12):1441-1452,12.DOI:10.21656/1000-0887.440138
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
摘要
Abstract
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Key words
curved beam element/constraint equation/torsion-slippage coupling effect/overturn/slip分类
交通运输引用本文复制引用
童上航,肖汝诚,庄冬利,孙斌..基于扭转-滑移耦合约束的梁桥抗倾覆滑移整体稳定分析[J].应用数学和力学,2023,44(12):1441-1452,12.基金项目
国家自然科学基金项目(52378185) (52378185)