黏弹性地基无限长板的瞬态振动分析

为了评价公路、机场等结构在交通荷载下的动力响应,基于W inkler地基薄板理论,利用级数展开法和Lap lace-Fourier变换推导了黏弹性地基上无限长板在半波正弦瞬态荷载作用下位移和应力的解析解.计算和分析了不同时刻板的位移和应力变化情况,并同弹性地基静荷载情况的位移和应力进行了比较,讨论了荷载作用时间及阻黏系数对位移和应力的影响.黏弹性地基板的位移随荷载作用时间的增长而增大,应力和位移随地基阻尼增大而减小.本文结论对路面设计、品质评价及破坏机理分析有重要意义.

Transient response of a viscoelastic winkler supported strip

To evaluate the dynamic response of pavement and airport under traffic load,the transient dynamic response of a viscoelastic foundation supported infinite strip due to the semi-sine load has been studied based on the thin plate and Winkler foundation model.Analytical solutions for displacement and stresses were obtained,with the help of triangular series method in combination with the Laplace-Fourier transform method.Numerical results were given and compared with the response of the plate under static and transient load on elastic foundation.Finally,the influence of transient load period,and physical parameter of foundation was discussed.The maximum deflection of plate increases with the increase of transient load period,while the stress and the displacement of the plate decrease with the increase of foundation damping.The theory developed herein may be used as a preliminary reference in pavement engineering design.