Analytical analysis of vibration isolation of open trench under plane elastic wave incidence

被引:0
|
作者
Zhou F. [1 ,2 ]
Liang Y. [1 ]
Liu Y. [1 ,2 ]
机构
[1] School of Civil Engineering, Lanzhou University of Technology, Lanzhou
[2] Western Engineering Research Center of Disaster Mitigation in Civil Engineering of Ministry of Education, Lanzhou University of Technology, Lanzhou
来源
关键词
analytic solution; complex variable function; conformal mapping; open trench; wave function expansion;
D O I
10.13465/j.cnki.jvs.2023.09.034
中图分类号
学科分类号
摘要
Here, based on complex variable function theory and conformal mapping method, wave function expansion method and multi-level coordinate transformation technique were used to solve vibration isolation problem of open trench in semi-infinite space against plane SH wave and plane P wave. Firstly, scattering fields of plane SH wave and plane P wave incident into semi-infinite space were given with the virtual source method and the large arc assumption method,respectively. Then,infinite order linear equations were established under stress free boundary conditions at open trench boundary and large arc boundary,and analytical solutions of scatterings of open trench to plane SH wave and plane P wave were obtained by solving these linear equations. Finally, effects of excitation frequency, trench depth and other factors on vibration isolation effect were parametrically analyzed. The results showed that vibration isolation effects of open trench on plane SH wave and plane P wave increase with increase in incident wave frequency and open trench depth. © 2023 Chinese Vibration Engineering Society. All rights reserved.
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页码:293 / 303
页数:10
相关论文
共 37 条
  • [1] Beskos D E, Dasgupta B, Vardoulakis I G., Vibration isolation using open or filled trenches - Part 1 : 2-D homogeneous soil, Computational Mechanics, 1, 1, pp. 43-63, (1986)
  • [2] Ulgen D, Toygar O., Screening effectiveness of open and in-filled wave barriers: A full-scale experimental study, Construction & building materials, 86, pp. 12-20, (2015)
  • [3] Woods R D., Screening of Surface Wave in Soils, Journal of the Soil Mechanics & Foundations Division, 94, pp. 951-980, (1968)
  • [4] BA Zhen-ning, LIU Shi-peng, WU Meng-tao, Et al., Analytical solution for isolation effect of plane SH waves by periodically distributed piles, Rock and Soil Mechanics, 41, pp. 2861-2868, (2020)
  • [5] GAO Guang-yun, YANG Xian-jian, WANG Yi-sun, Et al., Theory and Application of Vibration Isolation by Piles in Rows, Journal of Building Structures, pp. 58-69, (1997)
  • [6] LIU Zhong-xian, WANG Shao-jie, Isolation effect of discontinuous pile-group barriers on plane P and SV waves: Simulation based on 2D broadband indirect boundary integration equation method, Rock and Soil Mechanics, 37, pp. 1195-1207, (2016)
  • [7] XIA Tang-dai, SUN Miao-miao, HUA Wei-nan, Multiple scattering of plane SH waves by double-row of elastic pile as barriers for vibration isolation, World Earthquake Engineering, 27, pp. 142-147, (2011)
  • [8] Alamo G M, Bordon J, Aznarez J J, Et al., The effectiveness of a pile barrier for vibration transmission in a soil stratum over a rigid bedrock, Computers and Geotechnics, 110, pp. 274-286, (2019)
  • [9] GAO Guang-yun, LI Wei, FENG Shi-jing, Et al., 2-D analysis of vibration isolation by wave impeding block in layered ground, Journal of Vibration Engineering, pp. 174-179, (2007)
  • [10] ZHOU Feng-xi, ZHENG Qi, Complex variable function solution of vibration isolation for two-dimension foundation wave impeding block, Journal of Vibration and Shock, 38, 12, pp. 162-167, (2019)