An Improved Method for Multiple Scattering under SV Incident Waves and Vibration Isolation Using Rows of Piles
1.Key Laboratory of Soft Soils and Geoenvironmental Engineering of Education Ministry, Zhejiang University, Hangzhou 310058, China;2. Institute of Geotechnical Engineering, Zhejiang University, Hangzhou 310058,China
Abstract:Abstract: Compared with the conventional multiple scattering theories for vibration isolation of Aviles, an improved expansion method of wave functions using more complete Fourier-Bessel function series has been adopted in this article. With the help of boundary conditions of continuous displacements, and Graf’s addition theorem which is in a more generalized perspective, the analytical solutions for multiple scattering by an arbitrary configuration of parallel rigid cylinders, which are located in homogeneous unbounded soil, have been gained under the incidence of SV waves. Then, all the cylinders have been rearranged in two parallel lines, which makes the problem turn into the vibration isolation using rigid multiple-row piles. The effect of this vibration isolation system and other properties of the system were researched with the variation of h, the distance between two rows.