双参数粘弹性地基无限长板的瞬态动力响应分析

利用三角级数和Laplace-Fourier积分变换法,求得了考虑地基剪切变形和压缩变形的粘弹性地基无限长板在冲击荷载作用下动力响应问题的解析解。计算和比较了Winkler地基和双参数地基板的动力响应,并进一步讨论了荷载周期、板厚度和地基的压缩系数、剪切系数及阻尼对板位移的影响,研究结果可为路面结构的动力响应分析和质量评价提供一些理论依据。

DYNAMIC RESPONSE OF STRIP ON TWO-PARAMETER VISCOELASTIC FOUNDATION UNDER IMPACT LOADING

The dynamic displacement response of an infinite strip resting on a viscoelastic foundation,where horizontal resistance exists at its bottom,has been investigated when the system is subjected to an impact loading.A linear hysteretic nature for the foundation was considered.By using the triangular series method and Fourier integral transformation method,the analytical solutions are achieved.Analyses were performed to investigate the effects of various parameters such as the loading duration,strip thickness,damping,and stiffness of foundation,and to examine how the horizontal resistance at the plate bottom affects the vibration.The results presented herein can provide the theoretical foundation for the pavement engineering design and roadway evaluation.