摘要
本文首先给出了车辆随机荷载的统计描述,然后建立了运动的平稳随机荷载作用下粘弹性地基上Euler-Bernoulli梁的运动方程,利用Green函数的概念和积分变换方法对梁的振动方程进行了求解,获得了梁的随机动挠度的理论表达式,还针对具体算例进行了数值计算分析.最后利用随机振动理论给出了随机响应的几种主要统计量的计算公式.
The statistical characteristics of random vehicle loads is presented in the paper. The motion equation of Euler-Bernoulli beam on viscoelastic foundationment is established and then be solved by use of the Green's function and the integral transform method. The theorical expression of dynamic deflection of the beam is derived and the numerical results indicate that the maximum deflection appears always at the position just under the moving load.
出处
《振动与冲击》
EI
CSCD
1997年第1期62-68,共7页
Journal of Vibration and Shock
基金
国家自然科学基金资助项目
编号19572025
关键词
车辆
荷载
随机振动
桥梁
瞬态响应
traveling vehicle load, infinite beam, Gree's function, integral transform, random vibration
