FWD动荷载作用下沥青路面层状粘弹体路表弯沉的求解

Solution for solving asphalt pavement multilayered viscoelastic body surface deflection in the FWD dynamic case

利用传递矩阵方法 ,推导出了多层粘弹性半空间轴对称问题在 FWD动荷载作用下 ,层间完全接触情况的解析解 ;该方法概念清晰 ,公式简洁 ,易于应用。应用 DURBIN F的拉普拉斯逆变换的数值方法 ,求解出了多层粘弹体的时域解。通过路表弯沉的计算实例分析 。

By means of transfer matrix, the explicit solution for FWD dynamic response of axisymmetrical problems in multilayered viscoelastic half space is derived. The solution can be used for any axisymmetrical dynamic problems in which layers are completely contacted. This method is clear in concept, and the corresponding formulas given in the paper are not only simple but also convenient for application. The method of DURBIN F's numerical inversion of LAPLACE transforms is successfully used in this paper. An example of road surface deflection is presented and the calculated results are correct.