FWD动荷载作用下沥青路面层状体粘弹解与弹性解分析

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，并同时还成功的应用F.Durbin的拉普拉斯逆变换的数值方法，求解出了多层粘弹性体的时域解。还给 出了路表弯沉的计算实例，并与弹性解计算结果加以对比，分析表明结果可靠。

Solution of multilayered viscoelastic and elastic bodies of asphalt pavement under action of FWD dynamical load

Deflection is a very important mechanical guidance,which reflects bearing capability of pavement.Now,FWD(Falling Weight Deflectometer)is widely considered as proper deflection detection equipment.Because of the wide use of FWD,the study of solution and theory to the calculation of asphalt pavement is more important.In this paper,linear viscoelastic principle is used,FWD dynami-cal load is studied in time domain.By means of transfer matrix,the explicit solution for FWD dynam-ic response of axisymmetrical problems in multilayered viscoelastic half space was 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 mehod of F.Durbin's numerical inversion of laplace transforms is successfully used in this paper.An example of road surface deflection on viscoelastic and elastic bodies was presented,analysis proved viscoelastic solution reliable.When the viscoelastic speciality of material is considered,the result reflects the delaying of viscoelastic material,which is in good agree-ment with the actual situation of pavement material and mechnics.