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Dynamic response of plate on viscous Winkler foundation to moving loads of varying amplitude

机译:粘性Winkler地基上的平板对变化幅度的移动载荷的动力响应

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摘要

The dynamic displacement and stress responses of a plate of infinite extent on a viscous Winkler foundation subjected to moving tandem-axle loads with amplitude variation have been investigated. Formulations have been developed in the transformed field domain using a triple Fourier transform in time, space, and moving space for moving loads with arbitrary amplitude variation, and a double Fourier transform in space and moving space for the steady-state response to moving harmonic loads. The rigid and flexible pavement systems have been selected as models of the plate on viscous Winkler foundation. The effects of viscous damping, load velocity, load frequency, and phase between the front- and rear-axle loads on the maximum deflection and stress and on the deflection and stress distributions near the loads have been investigated. The analysis results considering viscosity of foundation show significant differences from those obtained with an elastic system. The variation in the load amplitude caused by the surface roughness and the difference in the phase between the front- and rear-axle loads can make the maximum deflection and stress considerably larger.
机译:研究了粘性Winkler地基上无限大范围的板在动态串联轴载荷下随振幅变化而产生的动态位移和应力响应。已经在变换场域中开发了公式,使用了时间,空间和运动空间的三次傅里叶变换来移动具有任意幅度变化的负载,并使用了空间和运动空间的双重傅里叶变换来实现对运动谐波负载的稳态响应。刚性和柔性路面系统已被选为粘性Winkler基础上的板材模型。研究了粘性阻尼,载荷速度,载荷频率以及前后轴载荷之间的相位对最大挠度和应力以及载荷附近挠度和应力分布的影响。考虑粉底粘度的分析结果与使用弹性体系获得的结果有显着差异。由表面粗糙度引起的载荷振幅变化以及前后桥载荷之间的相位差会导致最大挠度和应力显着增大。

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