Abstract: The wave function expansion method as well as the Graf addition theorem, combined with the continuous boundary conditions of displacements and stresses between the piles and the soil, are addressed to obtain the analytical full-space solutions of the cylindrical SH waves scattering by a single row of piles, and the time-domain solutions are gained by the inverse Fourier transform. In this method, the influence of the curvature of the incident waves is taken into account. In the frequency domain, the spectrum laws of the scattering wave fields due to piles under cylindrical SH waves incidence are analyzed. In the time domain, the contour maps of displacements near the piles due to the scattered cylindrical SH waves are given, and the influence of the number of piles and the distance between the piles on the scattering by the piles are discussed. The results show that:1) The isolation effects of the piles on the low-frequency band (η=0-1.0) of the cylindrical SH waves are significant when the vibration source is close to the pile (d/a=10), while those on each frequency band are significant when the vibration source is far from the piles; 2) When the pile spacing is fixed, the first-appearing maximum displacement behind the row of piles decreases with increasing the number of piles, as well as the range of influence of the scattering of the row of piles increases accordingly; 3) In order to improve the efficiency of isolation and save cost at the same time, the relative position of the vibration source to the piles and to the gap between the piles should also be considered; 4) When the row piles distribution width is fixed, the first-appearing maximum displacement behind the row of piles may be amplified with the reduction of pile spacing, due to the effect of incident wave curvature on the scattering of the row pile, so that a reasonable pile spacing should be used to block the cylindrical SH waves.

Key words: cylindrical SH wave, wave function expansion method, row pile scattering, time domain