论文部分内容阅读
依据D’Alembert原理和欧拉-贝努利梁假设,考虑车辆系统的动力特性,建立了公路简支梁桥在多个车辆荷载作用下的振动偏微分方程,通过运用模态叠加的离散化方法,将偏微分方程转化为变系数常微分方程。采用RungeKuntta方法求解时变系统的振动响应并使用Matlab语言编写了求解分析程序,对多车作用下的简支梁的冲击系数进行了研究,并与单车作用的结果进行比较分析。
According to D’Alembert principle and Euler - Bernoulli beam assumption, considering the dynamic characteristics of vehicle system, the partial differential equation of vibration of highway simply supported beam bridge under multiple vehicle loads is established. By using modal superposition discretization Method, the partial differential equation is transformed into a variable coefficient ordinary differential equation. The RungeKuntta method was used to solve the vibration response of time-varying system and the Matlab program was used to solve the analysis program. The impact coefficient of the simply supported beam under multi-vehicle was studied and compared with that of the bicycle.