有限元模型在车桥系统不确定性动态分析中的应用

摘要

提出了一种新的关于车桥系统不确定动态分析的方法.该方法把一座桥模拟成一个欧拉伯努利简支梁.在有限元模型的基础上,建立车桥系统的数学模型,用Newmark-β方法来解决系统方程,并将其与传统的蒙特卡洛法相比.仿真结果表明,提出的方案在激励作用下,均值和结构反应的结果是非常准确的,同时具备较高的计算效率.%A new method of dynamic analysis on the bridge-vehicle interaction problem considering uncertainties is proposed.The bridge is modeled as a simply supported Euler-Bernoulli beam.The mathematical model of the bridge-vehicle system is established based on the finite element model in which the Gaussian random processes are represented by the Karhunen-Loeve expansion and the equations will be solved by the Newmark-β method.The proposed method is compared with the MonteCarlo method.The meanvalue and variance of the structural responses are found to be very accurate even with large uncertainties in the excitation forces.The proposed method is also found to have superior performance in the computational efficiency compared with the Monte Carlo method.