ABSTRACT

A reliable numerical procedure is proposed for the geometric nonlinear dynamic analysis of suspension bridges subjected to earthquake excitations. The geometric nonlinearities of cable members are captured by the catenary element derived from exact analytical expressions of elastic catenary, while the geometric nonlinearities of tower and girder members are predicted by nonlinear beam element which can undergo large deflections and rotations. An incremental-iterative solution based on Newmark-β direct integration and Newton–Raphson iteration is adopted for solving the nonlinear equation of motion. The results are compared with those generated by ANSYS to show the accuracy and efficiency of the proposed procedure.

摘要

提出了一种可靠的数值程序，用于地震激励下悬索桥的几何非线性动力分析。索构件的几何非线性由从弹性悬链的精确解析表达式导出的悬链单元捕获，而塔和梁构件的几何非线性由可承受大挠度和旋转的非线性梁单元预测。采用基于Newmark-β直接积分和Newton-Raphson迭代的增量迭代求解非线性运动方程。将结果与 ANSYS 生成的结果进行比较，以显示所提出程序的准确性和效率。