A practical technique for directly calculating the response of a viscoelastic layered half-space excited by vertically travelling seismic waves in the time domain was developed. Based on the relationship between the superposition of the upward and downward waves incident on the soil interface and the superposition of the upward and downward waves emitted from the interface, the governing equations were derived to prevent the cumbersome recording and synthesis of the upward and downward waves. In addition, a technique to decompose seismic waves was applied to precisely model the hysteretic damping of soil in the time domain. The proposed method is simple, practical, and easy to implement in programs, and it is an alternative approach for computing the response of the viscoelastic layered half-space. Several examples, including the viscoelastic layered half-space response generated by incident harmonic and seismic waves, are presented to demonstrate the preciseness and versatility of the proposed method.

开发了一种实用技术，用于直接计算时域中由垂直传播的地震波激发的粘弹性层状半空间的响应。根据入射到土壤界面的上行波和下行波的叠加与界面发出的上行波和下行波的叠加之间的关系，推导了控制方程，避免了上行波和下行波的繁琐记录和合成. 此外，还应用了一种分解地震波的技术来精确模拟时域中土壤的滞后阻尼。该方法简单实用，易于在程序中实现，是计算粘弹性分层半空间响应的一种替代方法。几个例子，