Complex Eigenvalue Analyses of Love and Rayleigh waves

Abstract

To precisely explain the influences of surface waves (Love wave and Rayleigh wave) on the ground vibrations, we have to demonstrate the relationships between body waves (P wave, SH wave and SV wave) and surface waves.
In this paper, three typical types of soil layers are considered.
1: One soil layer with infinite boundary
2: Two soil layers with infinite boundary
3: One soil layer with rigid boundary (Bottom of the soil layer is fixed)
By using the FEM complex Eigenvalue analyses proposed by J. Lysmer, the dispersion curves and eigenvectors of Love waves are demonstrated. The results of Rayleigh waves are also shown. Finally, the relationships between body waves and surface waves are clarified.