A unified procedure is presented to investigate the dispersion and damping behavior of Love waves in a double-layered structure. The double-layered structure is comprised of a viscoelastic fiber-reinforced medium (Medium I) embedded between a viscoelastic sandy layer (Medium II) and a viscoelastic porous semi-infinite medium (Medium III). The displacement vectors for the respective medium have been obtained using analytical techniques. Using the separation of variables method and admissible boundary conditions at the free surface and the interfaces, the complex frequency equation is obtained in closed form. The substantial impact of all material parameters involved in the considered model on the phase velocity as well as damped velocity has been observed numerically and shown by graphical illustrations. The outcomes from this analysis may serve as a dynamic tool in various fields including geophysics, geotechnical, and earthquake engineering.

中文翻译：

---

粘弹性复合多层结构中洛夫波的振动分析

提出了一个统一的程序来研究 Love 波在双层结构中的色散和阻尼行为。双层结构由嵌入粘弹性砂质层（介质 II）和粘弹性多孔半无限介质（介质 III）之间的粘弹性纤维增强介质（介质 I）组成。已使用分析技术获得了相应介质的位移矢量。利用变量分离法和自由表面和界面处的容许边界条件，以封闭形式得到复频率方程。所考虑的模型中涉及的所有材料参数对相速度和阻尼速度的实质性影响已通过数值观察并通过图形说明显示。