Finite element method for analyzing environmental vibration without apparent sources and its application in Beijing High-Energy Photon Source

GU Xiao-qiang; YU Kuan-yuan; HUANG Mao-song; LIU Xin; YAN Fang; WU De-shun

doi:10.11779/CJGE202212011

Volume 44 Issue 12

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Chinese Journal of Geotechnical Engineering > 2022 > 44(12): 2245-2252. > DOI: 10.11779/CJGE202212011

GU Xiao-qiang, YU Kuan-yuan, HUANG Mao-song, LIU Xin, YAN Fang, WU De-shun. Finite element method for analyzing environmental vibration without apparent sources and its application in Beijing High-Energy Photon Source[J]. Chinese Journal of Geotechnical Engineering, 2022, 44(12): 2245-2252. DOI: 10.11779/CJGE202212011

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Finite element method for analyzing environmental vibration without apparent sources and its application in Beijing High-Energy Photon Source

1.
Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China
2.
Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China
3.
Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China

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Received Date: November 20, 2021
Available Online: December 13, 2022

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Abstract

Abstract

The environmental vibration without apparent sources refers to the vibration with very small amplitude in the field where there are no apparent excitation sources. It may significantly affect the normal operation of high-precision scientific apparatuses, and therefore appropriate methods are needed to analyze such environmental vibration precisely. A dynamic finite element method is introduced to analyze the environmental vibration without apparent sources in this study. Firstly, the time histories of vibration at the soil surface are obtained through the field measurements. Then, the transfer-matrix method is utilized to calculate the dispersion curve of the Rayleigh waves and the vibration attenuation factors with depth for each frequency. With the measured time histories on the ground and the attenuation factors, the time histories at different depths can be calculated. The calculated time history at each node is applied to the corresponding node on the finite element model boundary, which ensures the similarity of vibration conditions in the model and the reality. Finally, the proposed method is adopted to analyze the environmental vibration of the raft foundation of High-Energy Photon Source (HEPS). The results indicate that the proposed method can successfully capture the characteristics of vibration without apparent sources and provide useful reference for similar projects.
- environmental vibration,
- dynamic finite element method,
- transfer-matrix method,
- Rayleigh wave,
- vibration attenuation along depth

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References (18)

References

[1]	夏禾. 交通环境振动工程[M]. 北京: 科学出版社, 2010. XIA He. Traffic Induced Environment Vibrations and Controls[M]. Beijing: Science Press, 2010. (in Chinese)
[2]	余宽原. 考虑土体弹性各向异性的环境微振动分析研究[D]. 上海: 同济大学, 2021. YU Kuan-yuan. Analysis of Environmental Vibrations in Transverse Isotropic Elastic Ground[D]. Shanghai: Tongji University, 2021. (in Chinese)
[3]	电子工业防微振工程技术规范: GB50176)—2015[S]. 北京: 中国计划出版社, 2015. Technical Code for Anti-Microvibration Engineering of Electronics Industry: GB50176—2015[S]. Beijing: China Planning Press, 2015. (in Chinese)
[4]	AMIRIKAS R, EHRLICHMANN H, BIALOWONS W, et al. Ground motion and comparison of various sites[R]. Hamburg: Deutsches Elektronen-Synchrotron, 2005.
[5]	黄茂松. 上海光源工程微振动数值模拟计算研究报告[R]. 上海: 同济大学, 2005. HUANG Mao-song. Research Report on Numerical Simulations of Micro-vibration in Shanghai Synchrotron Radiation Facility (SSRF) [R]. Shanghai: Tongji University, 2005. (in Chinese)
[6]	黄茂松, 任青, 周仁义, 等. 层状地基中瑞利波随深度的衰减特性[J]. 岩土力学, 2009, 30(1): 113-117, 122. doi: 10.3969/j.issn.1000-7598.2009.01.018 HUANG Mao-song, REN Qing, ZHOU Ren-yi, et al. Attenuation characters of Rayleigh wave in layered soils[J]. Rock and Soil Mechanics, 2009, 30(1): 113-117, 122. (in Chinese) doi: 10.3969/j.issn.1000-7598.2009.01.018
[7]	周仁义. 分层地基中环境微振动的衰减特性[D]. 上海: 同济大学, 2006. ZHOU Ren-yi. Attenuation of Environmental Vibration with Depth[D]. Shanghai: Tongji University, 2006. (in Chinese)
[8]	冯忠俊. 上海自由电子激光工程地基振动测试研究及数值模拟[D]. 上海: 中国科学院上海应用物理研究所, 2009. FENG Zhong-jun. Ground Vibration Measurement and Numerical Simulation on Shanghai Free Electron Laser Project[D]. Shanghai: Shanghai Institute of Applied Physics, 2009. (in Chinese)
[9]	岳建勇, 姚激, 周春, 等. 软土地区特殊精密装置基础微变形控制设计与实践[J]. 岩土工程学报, 2010, 32(增刊2): 267–270. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC2010S2066.htm YUE Jian-yong, YAO Ji, ZHOU Chun, et al. Design and practice of differential settlement control for soft foundation by using a special sensitive facility[J]. Chinese Journal of Geotechnical Engineering, 2010, 32(S2): 267–270. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC2010S2066.htm
[10]	岳建勇. 软土地基精密装置基础微振动控制技术与工程应用[J]. 建筑科学, 2020, 36(增刊1): 57–67. https://www.cnki.com.cn/Article/CJFDTOTAL-JZKX2020S1011.htm YUE Jian-yong. Technology of the micro-vibration control for the foundation of a special sensitive facility on soft ground with engineering applications[J]. Building Science, 2020, 36(S1): 57–67. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JZKX2020S1011.htm
[11]	RICHART F E, HALL J R, WOODS R D. Vibrations of Soils and Foundations[M]. New Jersey: Prentice-Hall Inc., 1970.
[12]	YU K Y, GU X Q, HUANG M S, et al. Experimental, numerical and analytical studies on the attenuation of maglev train-induced vibrations with depth in layered soils[J]. Soil Dynamics and Earthquake Engineering, 2021, 143: 106628. doi: 10.1016/j.soildyn.2021.106628
[13]	THOMSON W T. Transmission of elastic waves through a stratified solid medium[J]. Journal of Applied Physics, 1950, 21(2): 89–93. doi: 10.1063/1.1699629
[14]	HASKELL N A. The dispersion of surface waves on multilayered media[J]. Bulletin of the Seismological Society of America, 1953, 43(1): 17–34. doi: 10.1785/BSSA0430010017
[15]	北京市勘察设计研究院有限公司. 高能同步辐射光源项目岩土工程勘察报告[R]. 北京: 北京市勘察设计研究院有限公司, 2018. BGI Engineering Consultants Ltd. The Geotechnical Investigation Report of HEPS Project[R]. Beijing: BGI Engineering Consultants Ltd, 2018. (in Chinese)
[16]	吴世明. 土介质中的波[M]. 北京: 科学出版社, 1997. WU Shi-ming. Wave Propagation in Soils[M]. Beijing: Science Press, 1997. (in Chinese)
[17]	ZERWER A, CASCANTE G, HUTCHINSON J. Parameter estimation in finite element simulations of Rayleigh waves[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2002, 128(3): 250–261. doi: 10.1061/(ASCE)1090-0241(2002)128:3(250)
[18]	杨永斌. 高速列车所引致之土壤振动分析[R]. 台湾: 台湾大学, 1996. YANG Yong-bin. Analysis on Soil Vibration Induced by High-Speed Railways[R]. Taiwan: Taiwan University, 1996. (in Chinese)