移动的线源平稳随机荷载激励下梁的随机响应
RANDOM RESPONSE OF BEAM UNDER MOVING RANDOM LOAD IN THE LINE SOURCE FORM
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摘要: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Abstract: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.