Complex variable function solution of vibration isolation for two-dimension foundation wave impeding block

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (12) : 162-167.

ZHOU Fengxi1,2,ZHENG Qi1

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Abstract

Theoretical analysis of a two-dimensional elastic foundation wave impeding block (WIB) seismic isolation system was conducted.First, based on the theory of elastic mechanics, the governing equation of the rectangular wave impeding block in the two-dimensional elastic foundation was established.Then, based on the incident of plane SH wave and the continuity condition between wave impeding block and half-space interface, the analytic solution of vibration isolation performance for the two-dimensional foundation wave impeding block was obtained by the wave function expansion method.In the end, according to the variation of amplitude attenuation coefficient, the influence of the shear modulus of wave impeding block, the depth of wave impeding block and the incident angle of elastic wave on the vibration isolation effect was analyzed.The results show that, the vibration isolation performance is improved obviously with the increase of shear modulus of wave impeding block; the vibration isolation effect for surface displacement increases gradually with the depth of wave impeding block; the smaller the incidence angle of elastic wave is, the more obvious the vibration isolation effect is.
Key words:wave impeding block; complex variable function; conformal mapping; SH wave; vibration isolation effect

Key words

wave impeding block / complex variable function / conformal mapping / SH wave / Vibration isolation effect

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ZHOU Fengxi1,2,ZHENG Qi1. Complex variable function solution of vibration isolation for two-dimension foundation wave impeding block[J]. Journal of Vibration and Shock, 2019, 38(12): 162-167

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