中文摘要：

利用半解析的方法研究了车辆荷载作用下高速公路的动力响应问题，建立了三维道路系统模型，采用Kirchhoff小变形无限大薄板来模拟混凝土面层，多孔饱和半空间来模拟路面以下土体，假定薄板与半空间光滑接触，且接触面完全透水，板的竖向位移可由接触条件求得，车辆荷载用4个均布矩形荷载来模拟，在忽略士颗粒缩性与自重的情况下，半空间土体引入Biot波动方程，通过傅里叶变换把土体与板的控制方程转化为常微分方程进行求解，结合土体的边界条件以及土体与板的接触条件求得在变换域里的土体竖向位移表达式，采用快速傅里叶变换（FFT）来进行逆变换求得土体时域内的位移，通过数值计算表明，荷载移动速度、土体的渗透系数以及板的刚度对道路系统位移响应的影响比较明显。

英文摘要：

A semi-analytical approach was used to study the dynamic response of pavement system to traffic load. The pavement system was selected as a model of the Kirchoff infinite thin plate on poroelastic halfspace soil medium. The contact condition between the plate and the half-space was assumed to be smooth and permeable. The expression of the vertical displacement of the plate was obtained according to the contact condition. The traffic load was represented by four rectangular load pressures. The full dynamic poroelastic theory of Biot was employed neglecting the body force and the compressibility of solid grain. The governing equations for poroelastic soil and the plate were solved combined with the boundary condition and the contact condition between the plate and the soil by using Fourier transform. The displacements in time domain were obtained by applying the inverse fast Fourier transform （FFT）. Numerical results showed that the effect of load velocity, soil permeability and flexural rigidity of the plate on the displacement response of pavement system was significant.