Ground-borne vibrations due to dynamic loadings from moving trains in subway tunnels
In this study,ground vibrations due to dynamic loadings from trains moving in subway tunnels were investigated using a 2.5D finite element model of an underground tunnel and surrounding soil interactions.In our model,wave propagation in the infinitely extended ground is dealt with using a simple,yet...
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| Published in | Journal of Zhejiang University. A. Science Vol. 13; no. 11; pp. 870 - 876 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Heidelberg
SP Zhejiang University Press
01.11.2012
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1673-565X 1862-1775 |
| DOI | 10.1631/jzus.A12ISGT5 |
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| Abstract | In this study,ground vibrations due to dynamic loadings from trains moving in subway tunnels were investigated using a 2.5D finite element model of an underground tunnel and surrounding soil interactions.In our model,wave propagation in the infinitely extended ground is dealt with using a simple,yet efficient gradually damped artificial boundary.Based on the assumption of invariant geometry and material distribution in the tunnel＇s direction,the Fourier transform of the spatial dimension in this direction is applied to represent the waves in terms of the wave-number.Finite element discretization is employed in the cross-section perpendicular to the tunnel direction and the governing equations are solved for every discrete wave-number.The 3D ground responses are calculated from the wave-number expansion by employing the inverse Fourier transform.The accuracy of the proposed analysis method is verified by a semi-analytical solution of a rectangular load moving inside a soil stratum.A case study of subway train induced ground vibration is presented and the dependency of wave attenuation at the ground surface on the vibration frequency of the moving load is discussed. |
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| AbstractList | In this study,ground vibrations due to dynamic loadings from trains moving in subway tunnels were investigated using a 2.5D finite element model of an underground tunnel and surrounding soil interactions.In our model,wave propagation in the infinitely extended ground is dealt with using a simple,yet efficient gradually damped artificial boundary.Based on the assumption of invariant geometry and material distribution in the tunnel＇s direction,the Fourier transform of the spatial dimension in this direction is applied to represent the waves in terms of the wave-number.Finite element discretization is employed in the cross-section perpendicular to the tunnel direction and the governing equations are solved for every discrete wave-number.The 3D ground responses are calculated from the wave-number expansion by employing the inverse Fourier transform.The accuracy of the proposed analysis method is verified by a semi-analytical solution of a rectangular load moving inside a soil stratum.A case study of subway train induced ground vibration is presented and the dependency of wave attenuation at the ground surface on the vibration frequency of the moving load is discussed. In this study, ground vibrations due to dynamic loadings from trains moving in subway tunnels were investigated using a 2.5D finite element model of an underground tunnel and surrounding soil interactions. In our model, wave propagation in the infinitely extended ground is dealt with using a simple, yet efficient gradually damped artificial boundary. Based on the assumption of invariant geometry and material distribution in the tunnel’s direction, the Fourier transform of the spatial dimension in this direction is applied to represent the waves in terms of the wave-number. Finite element discretization is employed in the cross-section perpendicular to the tunnel direction and the governing equations are solved for every discrete wave-number. The 3D ground responses are calculated from the wave-number expansion by employing the inverse Fourier transform. The accuracy of the proposed analysis method is verified by a semi-analytical solution of a rectangular load moving inside a soil stratum. A case study of subway train induced ground vibration is presented and the dependency of wave attenuation at the ground surface on the vibration frequency of the moving load is discussed. In this study, ground vibrations due to dynamic loadings from trains moving in subway tunnels were investigated using a 2.5D finite element model of an underground tunnel and surrounding soil interactions. In our model, wave propagation in the infinitely extended ground is dealt with using a simple, yet efficient gradually damped artificial boundary. Based on the assumption of invariant geometry and material distribution in the tunnel's direction, the Fourier transform of the spatial dimension in this direction is applied to represent the waves in terms of the wave-number. Finite element discretization is employed in the cross-section perpendicular to the tunnel direction and the governing equations are solved for every discrete wave-number. The 3D ground responses are calculated from the wave-number expansion by employing the inverse Fourier transform. The accuracy of the proposed analysis method is verified by a semi-analytic al solution of a rectangular load moving inside a soil stratum. A case study of subway train induced ground vibration is presented and the dependency of wave attenuation at the ground surface on the vibration frequency of the moving load is discussed. |
| Author | Xue-cheng BIAN Wan-feng JIN Hong-guang JIANG |
| AuthorAffiliation | Department of Civil Engineering, MOE, Key Laboratory of Soft Soils and Geoenvironmental Engineering, Zhejiang University, Hangzhou 310058, China |
| Author_xml | – sequence: 1 givenname: Xue-cheng surname: Bian fullname: Bian, Xue-cheng email: bianxc@zju.edu.cn organization: Department of Civil Engineering, MOE, Key Laboratory of Soft Soils and Geoenvironmental Engineering, Zhejiang University – sequence: 2 givenname: Wan-feng surname: Jin fullname: Jin, Wan-feng organization: Department of Civil Engineering, MOE, Key Laboratory of Soft Soils and Geoenvironmental Engineering, Zhejiang University – sequence: 3 givenname: Hong-guang surname: Jiang fullname: Jiang, Hong-guang organization: Department of Civil Engineering, MOE, Key Laboratory of Soft Soils and Geoenvironmental Engineering, Zhejiang University |
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| Cites_doi | 10.1016/S0168-874X(02)00081-1 10.1061/(ASCE)0733-9399(2005)131:7(699) 10.1016/j.jsv.2005.08.044 10.1260/026309203322770338 10.1016/j.jsv.2005.08.040 10.1007/s11433-008-0060-3 10.1016/j.jsv.2005.12.023 10.1016/S0022-460X(02)01007-6 10.1002/eqe.4290240609 10.1016/S0267-7261(03)00003-4 10.1631/jzus.A11GT012 10.1016/j.jsv.2005.12.031 |
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| Keywords | Gradually damped artificial boundary U213.2 Ground-borne vibration 2.5D finite element Moving train loadings Subway tunnel U231 |
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| Notes | Subway tunnel; Moving train loadings; Ground-borne vibration; 2.5D finite element; Gradually damped artificial boundary In this study,ground vibrations due to dynamic loadings from trains moving in subway tunnels were investigated using a 2.5D finite element model of an underground tunnel and surrounding soil interactions.In our model,wave propagation in the infinitely extended ground is dealt with using a simple,yet efficient gradually damped artificial boundary.Based on the assumption of invariant geometry and material distribution in the tunnel＇s direction,the Fourier transform of the spatial dimension in this direction is applied to represent the waves in terms of the wave-number.Finite element discretization is employed in the cross-section perpendicular to the tunnel direction and the governing equations are solved for every discrete wave-number.The 3D ground responses are calculated from the wave-number expansion by employing the inverse Fourier transform.The accuracy of the proposed analysis method is verified by a semi-analytical solution of a rectangular load moving inside a soil stratum.A case study of subway train induced ground vibration is presented and the dependency of wave attenuation at the ground surface on the vibration frequency of the moving load is discussed. 33-1236/O4 Xue-cheng BIAN,Wan-feng JIN,Hong-guang JIANG（Department of Civil Engineering,MOE,Key Laboratory of Soft Soils and Geoenvironmental Engineering,Zhejiang University,Hangzhou 310058,China） ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
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| SubjectTerms | Civil Engineering Classical and Continuum Physics Engineering Fourier transforms Grounds Industrial Chemistry/Chemical Engineering Loads (forces) Mathematical analysis Mathematical models Mechanical Engineering Subway tunnels Trains Vibration 动态载荷 地铁列车 地铁隧道 地面传播 地面振动 有限元模型 有限元离散 行驶 |
| Title | Ground-borne vibrations due to dynamic loadings from moving trains in subway tunnels |
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