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Analysis on multiple scattering by an arbitrary configuration of piles as barriers for vibration isolation
Authors:Tang-dai Xia  Miao-miao Sun  Chen Chen  Wei-yun Chen  Xu Ping
Institution:1. MOE Key laboratory of soft soils and Geo-environmental Engineering, Zhejiang University, Hangzhou 310027, PR China;2. Institute of Geotechnical Engineering, Zhejiang University, Hangzhou 310058, PR China;3. Department of Transportation Engineering, Zhengzhou University, Zhengzhou 450002, PR China
Abstract:By introducing the multiple scattering of acoustic or electromagnetic waves by an arbitrary configuration of parallel cylinders, a new formal solution that is different from the traditional ones to solve the problem of plane elastic waves scattering by cylindrical solid piles as barriers for environmental vibration isolation has been established. The first order of scattering is generated from the excitation of each pile by incident waves, and the second order is resulted from the excitation of each pile by the first order of scattering induced by remaining piles. The rest to an infinite can be executed in the same manner. Suppose that each order of scattering satisfies continuity boundary conditions at the surface of each pile, the undetermined scattering coefficients would be figured out ultimately. By introducing the normalized displacement amplitude and transmissibility indices, some properties of vibration isolation by single or multi-row of piles are analyzed. Influences of specific parameters such as scattering orders, separations between piles and pile rows, normalized frequencies, number of piles, etc. are investigated. Several instructive results are derived and recommended for designing piles as barriers for environmental vibration isolation.
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