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利用积分变换和传递矩阵的方法推导了多层粘弹半空间轴对称问题的理论解，引入 F.Durbin的方法实现 Laplace逆变换，通过实例计算路表弯沉表明初始时段所得结果与弹性解基本一致，随着时间的推移，多层粘弹体系表面弯沉增大，这种现象说明随时间的推移，材料的粘性起到更大的作用，与实际情况相附。本文的方法可以很容易推广到多层粘弹体系的动力学问题之中。
The theoretical solution to the axial symmetry problem of multi-layer viscoelastic half-space is deduced by means of integral transform and transfer matrix. The Laplace inverse transform is introduced by introducing F. Durbin. The deflection of the road surface is calculated by an example to show that the initial result of the solution is similar to that of the elastic solution Consistent with the passage of time, multi-layer viscoelastic system surface deflection increased, this phenomenon shows that with the passage of time, the viscosity of the material play a greater role, and the actual situation. The method in this paper can easily be extended to the dynamics of multi-layer viscoelastic systems.