摄动权余法求解列车过桥时的动力响应

Perturbed Weighted Residual Method for Finding the Dynamic Response to TrainBridge Systems

本文在[3]所采用的数学模型的基础上,结合了摄动法及权余法的优点;提出用摄动权余法求解列车过桥时的动力响应.这既避免了每级摄动方程难于精确求解又为处理非线性动力响应问题提供了一种新的方法.

Based on the mathematical model used in reference[3], this paper suggests the use of the perturbed Weighted Residual Method(WRM) for finding the dynamic response to train-bridge systems (While train is going over a bridge) by connecting the merits of perturbed technique and WRM. This method enables us to avoid the difficalty in finding the accurate solution of each perturbed equation and also gives a new method of dealing with nonlinear dynamic response problems.