二维地基波阻板隔振的复变函数解

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振动与冲击 ›› 2019, Vol. 38 ›› Issue (12) : 162-167.

论文

二维地基波阻板隔振的复变函数解

周凤玺1,2,郑琦1

作者信息 +

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

ZHOU Fengxi1,2,ZHENG Qi1

Author information +

文章历史 +

摘要

对二维弹性地基波阻板隔振体系进行了理论解析分析。首先，借助弹性力学复变理论，建立了二维弹性地基中矩形波阻板对波场散射问题的控制方程；其次，根据波阻板与半空间交界面处的连续性条件，考虑平面SH波入射，运用波动函数展开法得到了二维地基波阻板隔振性能的解析解答；最后，利用振幅衰减系数（有屏障时的振幅与无屏障时的振幅之比）的变化，分析了波阻板剪切模量、波阻板埋深、弹性波入射角度对隔振效果的影响。结果表明，随着波阻板剪切模量的增加隔振性能提升明显；对地表位移的隔振效果随着波阻板埋深的增加逐渐减小；弹性波的入射角度对隔振效果随着入射角度的减小而提高。

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

导出引用

周凤玺1,2,郑琦1. 二维地基波阻板隔振的复变函数解[J]. 振动与冲击, 2019, 38(12): 162-167

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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