周期分布群桩屏障对平面弹性波隔振效应的解析求解

doi:10.13722/j.cnki.jrme.2019.1201

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Abstract Based on the periodic characteristics of wave field around the periodically distributed scatters under incident plane wave，an analytical method is creatively proposed to solve the vibration isolation effect of infinite periodically distributed group piles barrier against elastic wave. Graf addition theorem which is suitable for wave function transformation between arbitrary coordinate systems is derived firstly. Then，the wave function expansion method and one different phase in the frequency domain around different period units is used，so that only one periodic unit needs to be selected for analysis to solve the scattering wave field of the whole pile group barrier. This analytical method makes up for the shortcomings of the previous theoretical analysis when there are a number of piles，and at the same time， has the advantages of high accuracy，low calculation amount and significantly reducing the solution time，which is convenient to analyse the vibration isolation law of pile group barrier with a large number of piles. In this paper，the influence of pile row number，pile spacing and arrangement on the vibration isolation effect is discussed. The results show that the isolation effects of group piles barrier on SH，SV and P waves are mainly reflected in the lower frequency band (0.2–1.2)，in the middle frequency band of (0.6–1.8)，and in the middle and higher frequency bands (1.2–1.5 and 2.2–2.8)，respectively. With increasing one row piles，the isolation effects against SH，SV and P waves can be respectively increased by 50%，33% and not more than 10%. Reducing the distance between piles is helpful to improve the vibration isolation effect of pile group barrier，and compared with reducing the distance between rows，the effect of reducing the distance between columns is more obvious. On the whole，the vibration isolation effect of the quincunx arrangement is better than that of the rectangular arrangement except for the case of the incident wave frequency h = 0.7–1.8.

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	BA Zhenning1
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	LIU Shipeng1
	WU Mengtao1
	LIANG Jianwen1
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BA Zhenning1,2,3, et al. Analytical solution for isolation effect of periodically distributed pile-group barriers against plane elastic wave#br#[J]. , 2020, 39(7): 1468-1482.

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https://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2019.1201 OR https://rockmech.whrsm.ac.cn/EN/Y2020/V39/I7/1468

[1]	毛昆明，陈国兴，庄海洋. 高架轨道交通引起的地表振动参数化分析[J]. 岩土力学，2012，33(11)：3 400-3 406.(MAO Kunming，CHEN Guoxing，ZHUANG Haiyang. Parametric analysis of ground surface vibration induced by elevated rail transit[J]. Rock and Soil Mechanics，2012，33(11)：3 400-3 406.(in Chinese))
[2]	曹志刚，蔡袁强，徐长节. 空沟对列车运行引起的地基振动隔振效果研究[J]. 岩土力学，2012，33(8)：2 373-2 382.(CAO Zhigang，CAI Yuanqiang，XU Changjie. Screening efficiency of open trenches to train-induced ground vibration[J]. Rock and Soil Mechanics，2012，33(8)：2 373-2 382.(in Chinese))
[3]	陈功奇，高广运. 层状地基中填充沟对不平顺列车动荷载的隔振效果研究[J]. 岩石力学与工程学报，2014，33(1)：144-153.(CHEN Gongqi，GAO Guangyun. Vibration screening effect of in-filled trenches on train dynamic loads of geometric irregular track in layered grounds[J]. Chinese Journal of Rock Mechanics and Engineering，2014，33(1)：144-153.(in Chinese))
[4]	WOODS R D，BARNETT N E，SAGESSER R. Holography—a new tool for soil dynamics[J]. Journal of Geotechnical and Geoenvironmental Engineering，1974，100(11)：1 234-1 247.
[5]	KATTIS S E，POLYZOS D，BESKOS D E. Modelling of piles wave barriers by effective trenches and their screening effectiveness[J]. Soil Dynamics and Earthquake Engineering，1999，18(1)：1-10.
[6]	KATTIS S E，POLYZOS D，BESKOS D E. Vibration isolation by a row of piles using a 3D frequency domain BEM[J]. International Journal for Numerical Methods in Engineering，1999，46(5)：713-728.
[7]	AI Z Y，CAO Z. Vibration isolation of row of piles embedded in transverse isotropic multi-layered soils[J]. Computers and Geotechnics，2018，99：115-129.
[8]	AVILÉS J，SÁNCHEZ-SESMA F J. Piles as barriers for elastic waves[J]. Journal of Geotechnical Engineering，1983，109(9)：1 133- 1 146.
[9]	AVILÉS J，SÁNCHEZ-SESMA F J. Foundation isolation from vibrations using piles as barriers[J]. Journal of Engineering Mechanics，1988，114(11)：1 854-1 870.
[10]	徐平，周新民，夏唐代. 非连续圆柱实心桩屏障对弹性波的隔离[J]. 振动工程学报，2007，20(4)：388-395.(XU Ping，ZHOU Xinmin，XIA Tangdai. Discontinuous barrier used a row of elastic piles for incident elastic waves[J]. Journal of Vibration Engineering，2007，20(4)：388-395.(in Chinese))
[11]	徐平，夏唐代，周新民. 单排空心管桩屏障对平面SV波的隔离效果研究[J]. 岩土工程学报，2007，29(1)：131-136.(XU Ping，XIA Tangdai，ZHOU Xinmin. Study on effect of barrier of a row of hollow pipe piles on isolation of incident plane SV waves[J]. Chinese Journal of Geotechnical Engineering，2007，29(1)：131-136.(in Chinese))
[12]	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.
[13]	高广运，杨先健，王贻荪，等. 排桩隔振的理论与应用[J].建筑结构学报，1997，18(4)：58-69.(GAO Guangyun，YANG Xianjian，WANG Yisun，et al. Theory and application of vibration isolation by piles in rows[J]. Journal of Building Structures，1997，18(4)：58-69.(in Chinese))
[14]	李志毅，高广运，邱畅，等. 多排桩屏障远场被动隔振分析[J]. 岩石力学与工程学报，2005，24(21)：3 990-3 995.(LI Zhiyi，GAO Guangyun，QIU Chang，et al. Analysis of multi-row of piles as barriers for isolating vibration in far field[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(21)：3 990-3 995.(in Chinese))
[15]	LU J F，XU B，WANG J H. A numerical model for the isolation of moving-load induced vibrations by pile rows embedded in layered porous media[J]. International Journal of Solids and Structures，2009，46(21)：3 771-3 781.
[16]	刘中宪，王少杰. 非连续群桩屏障对平面P，SV波的隔离效应：二维宽频带间接边界积分方程法模拟[J]. 岩土力学，2016，37(4)：1 195-1 207.(LIU Zhongxian，WANG Shaojie. Isolation effect of discontinuous pile-group barriers on plane P and SV waves：Simulation based on 2D broadband indirect boundary integration equation method[J]. Rock and Soil Mechanics，2016，37(4)：1 195- 1 207.(in Chinese))
[17]	PU X，SHI Z. Periodic pile barriers for Rayleigh wave isolation in a poroelastic half-space[J]. Soil Dynamics and Earthquake Engineering，2019，121：75-86.
[18]	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.
[19]	徐平. 多排桩非连续屏障对平面弹性波的隔离[J]. 岩石力学与工程学报，2012，31(增1)：3 159-3 166.(XU Ping. Isolation of plane elastic waves by discontinuous barriers composed of several rows of piles[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(Supp.1)：3 159-3 166.(in Chinese))
[20]	梁建文，张浩，LEE V W. 地下双洞室在SV波入射下动力响应问题解析解[J]. 振动工程学报，2004，17(2)：16-24.(LIANG Jianwen，ZHANG Hao，LEE V W. An analytical solution for dynamic stress concentration of underground twin cavities due to incident SV waves[J]. Journal of Vibration Engineering，2004，17(2)：16-24.(in Chinese))
[21]	LIANG J，BA Z，LEE V W. Diffraction of plane SV waves by a shallow circular-arc canyon in a saturated poroelastic half-space[J]. Soil Dynamics and Earthquake Engineering，2006，26(6/7)：582-610.
[22]	PAO Y H，MOW C C. Diffraction of elastic waves and dynamic stress concentrations[M]. New York：Institute of Engineering Mechanics，China Earthquake Administration，1994：160-186.
[23]	袁晓铭，廖振鹏. 圆弧形凹陷地形对平面SH波散射问题的级数解答[J]. 地震工程与工程振动，1993，13(2)：1-11.(YUAN Xiaoming，LIAO Zhenpeng. Series solution for scattering of plane SH waves by a canyon of circular-arc cross section[J]. Earthquake Engineering and Engineering Vibration，1993，13(2)：1-11.(in Chinese))