移动的线源平稳随机荷载激励下梁的随机响应

利用广义Ｄｕｈａｍｅｌ积分和积分变换，研究了粘弹性Ｋｅｌｖｉｎ地基上无限长梁在运动的线源平稳随机荷载作用下的随机响应．发现此时梁的挠度响应为非平稳随机过程．通过引入随动坐标系，建立了有明确物理意义的随动谱分析方法，使随机位移响应在随动坐标系下成为平稳随机过程

RANDOM RESPONSE OF BEAM UNDER MOVING RANDOM LOAD IN THE LINE SOURCE FORM

By using generalized Duhamel's integral and integral transform, this paper investigates random response of an infinite beam on the Kelvin viscoelastic foundation subjected to a moving load. It's found that displacement response of the beam is a non stationary random process even if the moving load is a stationary process. The follow up coordinate system is established to make the displacement became a stationary random process.