运动荷载作用下弹性地基无限长板动力响应

为分析道路结构在交通荷载作用下的变形和应力，提出了运动荷载作用下弹性地基板动力响应的解析方法.该方法基于Winkler地基上无限长的Kirchhoff薄板理论，运用积分变换和三角函数级数展开法求解，分别得到了结构在运动荷载作用下的变形和应力的解析解.通过数值方法分析了板的变形和应力的空间变化规律，并讨论了荷载运动速度、板和地基的物理特性参数对板的变形和应力的影响.研究结果表明，板的变形受荷载运动速度、地基模量和板的厚度影响显著.在荷载速度较大时，板的变形将出现明显波动现象，板的变形随地基模量增大而明显减少.

Dynamic response analysis of slab on elastic foundation subjected to moving load

For analyzing the deflections and stresses of roadway structure under moving load,an analytical method to determine the dynamic response of elastic foundation slab was presented.Based on the theory of Kirchhoff infinite thin slab on Winkler foundation,the analytical solutions of the slab's deflection and stress under moving load were investigated by triangular series and integral transformation methods.By using numerical methods,the spatial change rules of the slab's deflection and stress were clarified,and the effects of the moving load speed, physical parameters of slab and sub-grade on slab's deflection and stress were discussed.The results indicate that the moving load velocity,foundation stiffness and slab thickness have significant effects on the slab's deflection.The deflection of thin slab is obviously fluctuated with the increasing moving load speed,and the slab's deflection decreases with the increasing foundation stiffness.