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根据复合材料层合板弯曲理论,将Kelvin地基上的中厚板看成是多层薄板叠加的层合板结构,假设板在荷载运动方向上无限长,利用三角级数和Fourier变换方法得到了中厚板在矩形运动荷载作用下的位移和应力响应解,并利用快速傅立叶变换(FFT)方法得到了数值计算结果。分析荷载速度、粘弹性地基阻尼对板的竖向位移、水平位移及弯矩的影响,并与弹性薄板理论计算结果进行比较。
According to the bending theory of composite laminates, the plate on the Kelvin foundation is considered as the laminate structure of multi-layer laminates. Supposing the plate is infinite in the direction of load movement, the thickness The displacement and stress response of the plate subjected to rectangular moving loads are obtained. The numerical results are obtained by using the Fast Fourier Transform (FFT) method. The influence of load velocity and viscoelastic foundation damping on the vertical displacement, horizontal displacement and moment of plate is analyzed and compared with the theoretical calculation results of elastic thin plate.