薄壁变截面高桥墩的稳定分析

Stability analysis of thin-walled high bridge piers with variable section

应用里兹法研究了考虑墩身自重的薄壁变截面高桥墩的稳定性.构造满足桥墩位移边界条件的横向位移曲线函数,得到其应变能和荷载势能表达式.基于势能驻值条件求出了薄壁变截面高桥墩的临界荷载解析式,利用该解析式可以方便地求出薄壁变截面高桥墩的临界荷载.与有限元分析得到临界荷载的比较表明,该方法简单可靠.

Taking the dead weight of the pier effect into consideration, it was studied that the stability of thin-walled high bridge piers with variable cross-section using Ritz method. First, the function of pier lateral displacement curve was constructed which meet the displacement boundary conditions. Then the expression of strain energy and external load potential energy was got. Finally, the stability critical load formula of thin-walled high bridge piers with variable cross-section was deduced derived from the potential energy stationary value condition. And the critical load of thin-walled high bridge piers with variable cross-section could be conveniently calculate with the formula. The comparison of the results using this method and finite element analysis indicates that the method is simple and valid.