小半径曲线上长大桥梁车桥耦合振动分析

Coupling Vibration Analysis of Train Curving Multi-Span Bridges on Small Radius Curve

本文基于车辆-直线桥梁的耦合振动分析理论,采用模态叠加法,建立车辆-曲线桥梁的耦合振动方程。采用移动坐标系,通过坐标变换,解决车辆曲线通过时轮轨耦合的几何关系。依据赫兹弹性接触理论,考虑密贴接触和非密贴接触,求解轮轨接触力。基于车辆直线运动的Kalker线形蠕滑理论,修正后得出车辆曲线运行的蠕滑率。同时,在广义力向量中考虑了车辆曲线运动时产生的离心力和超高分力。采用分离迭代法求解运动方程,得出车桥耦合振动响应。基于这些理论分析,结合某小半径曲线上长大桥梁工程实例,进行列车-曲线桥梁的车桥耦合振动数值分析,得出了车辆通过小半径曲线上长大桥梁的一些车桥振动特性和规律。

Based on the theory of vehicle-straight-line-bridge coupled vibration, the differential equations of vehicle-curved-bridge coupled vibration are established by using mode superposition method. The ge- ometry of vehicle-curved bridge was determined by moving coordinate systems and coordinate transfor- mation. Based on the Hertz＇s theory of elastic contact and Kalker＇s creep theory of wheel-rail interaction, the wheel-rail contact force is determined considering non-jump and jump, and the creep rate of vehicle curving is determined by amending the creep rate of vehicle passing straight. In addition, the generalized force vector includes centrifugal force and ultrahigh component force. Motion equations and response of vehicle-curved bridge coupled vibration are solved by separate iterative method. Based on these theories, a multi-span curved bridges on small radius curve project was selected as a case study,numerical analysis of coupling vibration analysis is done, and some vibration characteristics and laws are obtained.