[1]孙苗苗,张世民,谭照芳,等.饱和土中任意排列的排孔屏障对P波的多重散射[J].自然灾害学报,2018,(02):024-32.[doi:10.13577/j.jnd.2018.0203]
 SUN Miaomiao,ZHANG Shimin,TAN Zhaofang,et al.Multiple scattering of P waves by rows of cavities as barrier with arbitrarily arranged in saturated soil[J].,2018,(02):024-32.[doi:10.13577/j.jnd.2018.0203]
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饱和土中任意排列的排孔屏障对P波的多重散射
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《自然灾害学报》[ISSN:/CN:23-1324/X]

卷:
期数:
2018年02期
页码:
024-32
栏目:
出版日期:
2018-04-28

文章信息/Info

Title:
Multiple scattering of P waves by rows of cavities as barrier with arbitrarily arranged in saturated soil
作者:
孙苗苗1 张世民1 谭照芳2 周联英1 崔允亮1
1. 浙江大学城市学院, 浙江 杭州 310015;
2. 安徽理工大学 土木建筑学院, 安徽 淮南 232001
Author(s):
SUN Miaomiao1 ZHANG Shimin1 TAN Zhaofang2 ZHOU Lianying1 CUI Yunliang1
1. City College Zhejiang University, Hangzhou 310015, China;
2. Anhui University of Science and Technology, Huainan 232001, China
关键词:
饱和土体波函数展开多重散射排孔隔振P波
Keywords:
saturated soilwave function expansionmultiple scatteringrows of cavitiesvibration isolationP waves
分类号:
TU4;X93
DOI:
10.13577/j.jnd.2018.0203
摘要:
基于Biot饱和土波动理论,采用波函数展开法,对饱和土体中任意排列的排孔对P波的多重散射进行了理论求解,通过排孔-土体间应力、位移自由的边界条件,得到波函数展开后的待定复系数,由此确定屏障前后总波场的解。数值算例中考察了P波入射下饱和土体中周期性排列的排孔屏障前后无量纲位移幅值的变化情况,对影响屏蔽效果的主要几何参数如排孔间距、排距、数量、布置方式等进行了分析和讨论,得到了排孔的优化设计建议,为弹性波在饱和介质中的传播规律和屏障隔振提供理论计算依据。
Abstract:
Based on Biot saturated soil wave theory, using wave function expansion method, the thereotical solutions of multiple scattering of plain P waves by rows of cavities as barrier with arbitrarily arranged in saturated soil is achieved. Undetermined complex coefficients after wave function expansion are obtained by cavities-soil stress and displacement free boundary conditions. It used numerical examples to investigate variation of dimensionless displacement amplitude at the back and force of cavities barrier under P wave incident, and also discussed the main parameters influenced isolation effect such as separations of cavieties, distances between cavity-rows, numbers of cavity, and arrangement of barriers.Optimum design proposals with rows of catities are reached, which provide theoreotical basis of elastic waves propagation characteristics in saturated medium and vibration isolation barrier design.

参考文献/References:

[1] Pao Y H, Mow C C. Diffraction of Elastic Waves and Dynamic Stress Concentrations[M]. New York, Crane and Russak, 1973.
[2] Avilés J, Sánchez-sesma F J. Piles as barriers for elastic waves[J]. Journal of Geotechnical Engineering, 1983, 109(9):1133-1146.
[3] Avilés J, Sánchez-sesma F J. Foundation isolation from vibration using piles as barriers[J]. Journal of Engineering Mechanics, 1988, 114(11):1854-1870.
[4] 胡亚元, 王立忠, 陈云敏,等. 饱和土中平面应变波在圆柱体上的散射和折射[J]. 地震学报, 1998, 20(3):300-307. HU Yayuan, WANG Lizhong, CHEN Yunmin, et al. Scattering and refraction of plain strain waves at cylinders in saturated soil[J]. Acta Seismologicasinica, 1998, 20(3):300-307. (in Chinese)
[5] Robert D. S. Reflection of acoustic waves at a water-sediment interface[J]. Journal of the Acoustical Society of America, 1981, 69(1):149-156.
[6] 蔡袁强, 丁光亚, 徐长节. 饱和土中排桩对入射S波隔离的三维分析[J]. 自然灾害学报, 2008, 17(2):1-7. CAI Yuanqiang, DING Guangya, XU Changjie. Three-dimensional isolation analysis of a row of pile in saturated soil from incident S waves[J]. Journal of Natural Disasters, 2008, 17(2):1-7. (in Chinese)
[7] Cai Y Q, Ding G Y, Xu C J. Amplitude reduction of elastic waves by a row of piles in poroelastic soil[J]. Computers and Geotechnics, 2009, 36(3):463-473.
[8] Cai Y Q, Ding G Y, Xu C J, Wang J. Vertical amplitude reduction of rayleigh waves by a row of piles in a poroelastic half-space[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2009, 33(16):1799-1821.
[9] Lu J F, Zhang X, Zhang R. A wave number domain boundary element model for the vibration isolation via a new type of pile structure:linked pile rows[J]. Archive of Applied Mechanics, 2014, 84:401-420.
[10] 徐平, 夏唐代, 周新民. 饱和土体中圆柱体对弹性波的散射[J]. 科技通报, 2006, 22(6):802-812. XU Ping, XIA Tangdai, ZHOU Xinmin. Elastic wave scattering by a cylinder in saturated soils[J]. Bulletin of Science and Technology, 2006, 22(6):802-812. (in Chinese)
[11] 徐平. 多排柱腔构成的非连续屏障对SV波的隔离[J]. 振动与冲击, 2009, 28(12):84-87. XU Ping. Isolation of plane SV waves by discontinuous barriers composed of several rows of cylindrical cavities[J]. Journal of Vibration and Shock, 2009, 28(12):84-87. (in Chinese)
[12] 徐平, 邓亚虹, 吴明. 饱和土体中多排桩屏障对压缩快波的隔离[J]. 工程力学, 2014, 31(5):120-127. XU Ping, DENG Yahong, WU Ming. Isolation of fast compressive waves by barriers composed of several rows of piles in saturatated soils[J]. Engineering Mechanics, 2014, 31(5):120-127. (in Chinese)
[13] 谢伟平, 孙洪刚, 于艳丽. 轻轨系统引起的环境振动评价及减振措施[J]. 建筑, 2003(9):64-65. XIE Weiping, SUN Honggang, YU Yanli. Evaluation of LRT system induced environmental vibration and vibration isolation measures[J]. Construction, 2003(9):64-65. (in Chinese)
[14] Huang J K, SHI Z F. Attenuation zones of periodic pile barriers and its application in vibration reduction for plane waves[J]. Journal of Sound and Vibration, 2013, 332(19):4423-4439.
[15] Shi Z F, Huang J K. Feasibility of reducing three-dimensional wave energy by introducing periodic foundations[J]. Soil Dynamics and Earthquake Engineering, 2013, 50(1):204-212.
[16] Huang J K, Shi Z F. Vibration reduction of plane waves using periodic in-filled pile barriers[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2015, 141(6):1-12.
[17] Xia T D, Sun M M, Chen C et al. Analysis of multiple scattering by an arbitrary configuration of piles as barriers for vibration Isolation[J]. Soil Dynamics and Earthquake Engineering, 2011, 31(3):535-545.
[18] 吴世明. 土介质中的波[M]. 北京:科学出版社, 1997, 62-65. WU Shiming. Wave Propagation in Soils[M]. Beijing:Science Press, 1997, 62-65. (in Chinese)

备注/Memo

备注/Memo:
收稿日期:2017-06-10;改回日期:2017-08-10。
基金项目:国家自然科学基金项目(51408549,51508507);浙江省自然科学基金(LY18E080024,LQ16E080007,LY16E090005);浙江大学城市学院教师科研基金(J-15018)
作者简介:孙苗苗(1984-),女,讲师,主要从事土动力学研究.E-mail:sunmm@zucc.edu.cn
通讯作者:张世民(1974-),男,教授,主要从事土力学与基坑工程研究.E-mail:zhangsm@zucc.edu.cn
更新日期/Last Update: 1900-01-01