黏弹性地基板在矩形变速荷载作用下的振动分析

利用双重Fourier变换方法，首先推导得到了黏弹性地基板在多个矩形变速移动荷载作用下的动力响应一般解。然后以实际刚性路面为算例，采用快速傅立叶变换(FFT)方法对匀变速荷载作用下的板的动挠度进行了数值求解。与经典解进行了比较，显示出了较好的一致性。利用数值结果重点分析了矩形移动荷载的加速度、减速度以及初速度对板的动态挠度的影响，发现移动荷载加速度、减速度及初速度对黏弹性地基板动力响应的影响十分明显，随着加速度（减速度）和初速度的增大，板的动挠度在关键速度时明显减小；板的动挠度出现峰值的位置对应着不同的加速度（减速度）和初速度，但却对应着相同的关键速度。

Vibration analysis of a plate on viscoelastic foundation under moving rectangular loads with variable speeds

Vibrations of a plate on viscoelastic foundation under moving rectangular loads with variable speeds are investigated; and the general solution of dynamic deflection of the plate is derived using the double Fourier transform. By employing fast Fourier transform (FFT), a rigid pavement is chosen to obtain the numerical results; and the calculation results are consistent with ones of classical solution. The effects of initial moving velocity and acceleration on the dynamic deflection are discussed. The results indicate that the initial velocity and acceleration of the rectangular load have influence on the dynamic response. The dynamic deflection of plate at critical velocity decreases significantly with the increase of the initial moving velocity and acceleration. The maximum dynamic deflection appears when the moving load velocity reaches the critical velocity of plate.