波阻板对平面P-SV波的散射及其隔振性能分析  

Scattering of Plane P-SV Wave by Wave Impeding Block and Analysis of Its Vibration Isolation Performance

作　　者：梁玉旺 周凤玺[1,2] 郝磊超 LIANG Yuwang;ZHOU Fengxi;HAO Leichao(School of Civil Engineering,Lanzhou University of Technology,Lanzhou 730050,Chin)

机构地区：[1]兰州理工大学土木工程学院,兰州730050 [2]兰州理工大学西部土木工程防灾减灾教育部工程研究中心,兰州730050

出　　处：《噪声与振动控制》2023年第1期31-36,42,共7页Noise and Vibration Control

基　　金：国家自然科学基金资助项目(51978320,11962016);甘肃省基础研究创新群体资助项目(20JR5RA478)。

摘　　要：在二维弹性地基的有限深度处埋设波阻板,采用复弹性理论分析波阻板对平面P-SV波的散射及其隔振效果。首先,通过保角映射技术给出矩形波阻板的映射表达式;其次,根据复弹性理论建立问题在复数域上的动力学控制方程和应力边界条件,并结合波函数展开法得到动力响应解答;最后,引入振幅衰减系数,并通过其变化曲线分析平面P-SV波作用下埋置深度、剪切模量比、弹性波入射角度以及弹性波频率等对隔振效果的影响。结果表明:剪切模量比对波阻板隔振效果影响显著,且随着模量比增大,隔振效果增强;波阻板埋深越大,隔振效果越差;随着入射波角度和频率增大,隔振效果也随之降低。The complex elastic theory was used to analyze the scattering response of the wave resistance plate to the planar P-SV wave and its vibration isolation effect for the wave impeding block buried at a limited depth of the twodimensional elastic foundation. Firstly, the mapping function expression of the rectangular wave impeding block is given by using the conformal mapping technique. Secondly, based on the complex elasticity theory, the dynamic governing equations and stress boundary conditions of the problem in the complex domain are established, and the dynamic response solution is obtained by using the wave function expansion method. Finally, by introducing the amplitude attenuation coefficient variation curve, the effects of embedding depth, shear modulus ratio, elastic wave incident angle and elastic wave frequency on the vibration isolation effect under the action of the plane P-SV wave are analyzed. The results show that the shear modulus ratio has a significant effect on the vibration isolation of the wave impeding block. With the modulus ratio increasing, the vibration isolation effect increases;the greater the embedding depth of the wave impeding block, the worse the vibration isolation effect;as the incident wave angle and frequency increases, the vibration isolation effect decreases.

关 键 词：振动与波 复变函数 波阻板 P-SV波 保角映射 隔振性能 

分 类 号：TU435[建筑科学—岩土工程]