Ground Motion of Two Scalene Triangle Hills and a Semi-cylindrical Canyon under Incident SH-waves

摘要

The scattering of SH-waves by two scalene triangle hills and a semi-cylindrical canyon was surveyed here using the methods of wave function expansion,complex function and multi-polar coordinates.Based on "division",we divided the analytical model into 3 parts,and constructed displacement solutions of wave fields that meet the boundary conditions in the three regions,respectively.The three domains were then conjoined to satisfy the "conjunction" condition to deduce a series of infinite algebraic equations about the problem combined with the boundary condition of semi-cylindrical canyon.Lastly,numerical examples were presented to investigate the influence of different parameters on the ground motion of the hills and the canyon.