公路桥梁2种车桥耦合振动分析方法的对比研究

Comparative research on two analysis methods for vehicle-bridge coupling vibration of highway bridges

基于有限单元法和虚功原理,分别采用整体法和分离法推导公路车桥耦合系统的振动方程,根据2种方法的分析流程,运用Visual Fortran6.5语言编制车桥耦合振动分析程序,在此基础上,通过算例分析对比研究2种车桥耦合分析方法,阐明二者的差异、优缺点和适用情况。研究结果表明:整体法和分离法的主要差异在于车桥相互作用力的处理方式以及车桥耦合振动方程的建立和求解方法不同;整体法要求计算机内存较大,不宜用于跳车分析,但便于计算桥梁的有载频率;分离法适用范围较广,求解速度快,可用于跳车分析,但需迭代求解车桥运动方程,收敛性不易保证。

Based on the finite element method and the principle of virtual work,the vibration functions of the vehicle-bridge coupling system were deduced using the integral method and the separation method,respectively;According to the analysis process of two methods,the vehicle-bridge coupling vibration analysis program was complied with Visual Fortran6.5language.Based on this program,two methods for the vehicle-bridge coupling vibration analysis were compared from an example analysis,and the differences,advantages,disadvantages and applicable conditions of two methods were presented.The results show that the main differences between the integral method and the separation method are that the processing means of interaction forces,the establishment and solving method of the vehicle-bridge coupling vibration equations are different.For the integral method,it requires more computer memory and is not suitable for analyzing vehicle jumping,but it is easy to calculate the frequency of bridge loads.For the separation method,it has a wide applicable scope.It can be used to analyze vehicle jumping,and the efficiency of solving equations is high,but it needs iterations with the convergence being not easy to guarantee.