多空沟对弹性波的散射及隔振性能分析：SH波入射

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振动与冲击 ›› 2021, Vol. 40 ›› Issue (24) : 263-268.

论文

周凤玺1,2，梁玉旺1，刘佳1

作者信息 +

Analysis of elastic wave scattering and vibration isolation performance of multiple open trenches: SH incident

ZHOU Fengxi1, 2, LIANG Yuwang1, LIU Jia1

Author information +

文章历史 +

摘要

在地基振动控制中，采用单空沟由于衍射效率低而使得隔振效率并不理想，因此在设置多空沟隔振屏障对振动波的传播进行多次阻断来达到理想的隔振效果。根据弹性动力学基本理论，在复数域上进行波函数展开，由空沟周边应力自由边界条件并借助保角映射理论和多极坐标变换技术建立无穷阶线性方程组，并给出了多空沟对弹性SH（Shear，SH）波散射的解析解答。以双空沟为例，参数分析了激励频率、空沟长度和间距等因素对隔振效果的影响规律。结果表明：双空沟的隔振效果明显优于单空沟的隔振效果，并且随着空沟长度和空沟间距的增加，屏蔽区域面积明显增大。

Abstract

In foundation vibration control, the use of single open trench makes the isolation efficiency unsatisfactory due to low diffraction efficiency. Therefore, multiple open trenches vibration isolation barriers are set up to block the propagation of vibration waves many times to achieve ideal vibration isolation effect. According to the basic theory of elastic dynamics, the wave function expansion is carried out in the complex number domain, and the infinite-order linear equations are established by the free boundary conditions of the stress around the open trenches and by dint of conformal mapping theory and multi-polar coordinate transformation technology. Analytical solution to elastic SH wave scattering. Taking the double open trenches as an example, the parameters of the influence of factors such as excitation frequency, open trenches length and spacing on the vibration isolation effect are analyzed. The results show that the vibration isolation effect of double open trenches is significantly better than that of single open trench, and as the length and spacing of the open trenches increase, the area of the shielding area increases significantly.

导出引用

周凤玺1,2，梁玉旺1，刘佳1. 多空沟对弹性波的散射及隔振性能分析：SH波入射[J]. 振动与冲击, 2021, 40(24): 263-268

ZHOU Fengxi1, 2, LIANG Yuwang1, LIU Jia1. Analysis of elastic wave scattering and vibration isolation performance of multiple open trenches: SH incident[J]. Journal of Vibration and Shock, 2021, 40(24): 263-268

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