应用哈密尔顿能量原理和欧拉—贝努利梁假设,考虑梁的几何非线性影响,推导出简支梁在四分之一车辆模型下的车桥耦合非线性振动方程.采用伽辽金法和龙格—库塔法求解方程,研究了计入几何非线性因素后车速、桥梁参数对简支梁桥冲击系数的影响,其结果为改进我国公路桥涵设计规范中冲击系数的计算提供了参考.
Based on the Hamilton principle and the hypothesis of Euler-Bernoulli beam,the systematic nonlinear vibration equations on vehicle-bridge coupled interaction were derived by using two free degree vehicle models.The equations were solved by using Galerkin and Runge-Kutta methods.The influence of the vehicle speed and bridge parameters on impact coefficients of the simply supported beam bridge was discussed.The results provide reference for improving the impact factor calculation in the bridge design code of China.