• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
  • Scopus
  • Indexed by Core Journals of China, Chinese S&T Journal Citation Reports
  • Chinese S&T Journal Citation Reports
  • Chinese Science Citation Database
Volume 26 Issue 4
Aug.  2013
Turn off MathJax
Article Contents
Journal of Southwest Jiaotong University  > 2013  >  26(4): 659-665.
XU Bin, GAO Liang, LEI Xiaoyan, XU Manqing, LIU Linya. Analysis of Dynamic Interaction between Hole Embedded in Saturated Soil and Moving Loads Using 2.5D Boundary Element Method[J]. Journal of Southwest Jiaotong University, 2013, 26(4): 659-665. doi: 10.3969/j.issn.0258-2724.2013.04.011
Citation: XU Bin, GAO Liang, LEI Xiaoyan, XU Manqing, LIU Linya. Analysis of Dynamic Interaction between Hole Embedded in Saturated Soil and Moving Loads Using 2.5D Boundary Element Method[J]. Journal of Southwest Jiaotong University, 2013, 26(4): 659-665. doi: 10.3969/j.issn.0258-2724.2013.04.011
shu

Analysis of Dynamic Interaction between Hole Embedded in Saturated Soil and Moving Loads Using 2.5D Boundary Element Method

doi: 10.3969/j.issn.0258-2724.2013.04.011
  • Received Date: 10 Oct 2012
  • Publish Date: 25 Aug 2013
    Abstract
  • To study the mechanism of interaction between the saturated soil with complex surface and moving loads, a specific 2.5D boundary element method (BEM) for the problem of dynamic responses of the hole embedded in the saturated soil under a moving load was derived systematically. Based on Biot's theory, the frequency wave number domain Green's function for saturated porous media was developed using the Fourier transform method and the potential decomposition approach. Then, dynamic responses in the time-space domain solution were further obtained by synthesizing the wave number solution via inverse fast Fourier transform (IFFT). The results show that using the frequency wave-number boundary integrated equations established by the consistency of the directions of moving load, a 3D spatial model for the dynamic interaction between the holes embedded in the saturated soil with moving loads is convertible to a 2D planar model in the frequency domain, and the 3D complex boundary can be simplified to a problem of 2D boundary element. Thus, the complicated boundary planes can be transformed into computed lines using the 2.5D wave number domain BEM formulation, consequently reducing the amount of computation to a manageable size.

     

    • FullText(HTML)
  • loading
    • References(22)
  • 王永强,牛星钢,谭钦文. 重型车辆荷载下埋地天然气管道的安全分析[J]. 中国安全生产科学技术,2011,7(8): 109-114. WANG Yongqiang, NIU Xinggang, TAN Qinwen. Safety analysis for buried gas pipelines under heavy vehicle loads[J]. Journal of Safety Science and Technology, 2011, 7(8): 109-114.
    王文和,易俊,沈士明. 基于风险的城市埋地燃气管道安全评价模型及应用[J]. 中国安全生产科学技术,2010,6(3): 163-166. WANG Wenhe, YI Jun, SHEN Shiming. Safety evaluation model and application for the urban buried gas pipeline based on risk[J]. Journal of Safety Science and Technology, 2010, 6(3): 163-166.
    LU J F, JENG Dongsheng. A half-space saturated poro-elastic medium subjected to a moving point load[J]. International Journal of Solids and Structures, 2007, 44(2): 573-586.
    EASON G. The stress produced in a semi-infinite solid by a moving surface force[J]. International Journal of Engineering Science, 1965, 2(6): 581-609.
    PAYTON R G. An application of the dynamical Betti Rayleigh reciprocal theorem of moving point loads in elastic medium[J]. The Quarterly of Applied Mathematics, 1964, 20(1): 299-313.
    DOMINGUEZ J. Boundary element approach for dynamic poroelastic problems[J]. International Journal for Numerical Methods in Engineering, 1992, 35(2): 307-324.
    CHENG A H D, BADMUS D E, BESKOS D E. Integral equations for dynamic poroelasticity in frequency domain with BEM solution[J]. Journal of Engineering Mechanics, ASCE, 1991, 117(5): 1136-1157.
    ZIMMERMAN C, STERN M. Boundary element solution of 3-D wave scatter problems in a poroelastic medium[J]. Engineering Analysis with Boundary Elements, 1993, 12(4): 223-240.
    SCHANZ M. Application of 3D time domain boundary element formulation to wave propagation in poroelastic solids[J]. Engineering Analysis with Boundary Elements, 2001, 25(4/5): 363-376.
    MAESO O, AZNAREZ J J, GARCIA F. Dynamic impedances of piles and groups of piles in saturated soils[J]. Computers & Structures, 2005, 83(10/11): 769-782.
    PAPAGEORGIOU A S, PEI D. A discrete wavenumber boundary element method for study of the 3-D response of 2-D scatterers[J]. Earthquake Engineering & Structural Dynamics, 1998, 27(6): 619-638.
    TADEU A J B, KAUSEL E. Green's functions for two-and-a-half-dimensional elastodynamic problems[J]. Journal of Engineering Mechanics, ASCE, 2000, 126(10): 1093-1097.
    LUCO J E, WONG H L, BARROS F C P. Three-dimensional response of a cylindrical canyon in a layered half-space[J]. Earthquake Engineering & Structural Dynamics, 1990, 19(6): 799-817.
    STAMOS A A, BESKOS D E. 3-D seismic response analysis of long lined tunnels in half-space[J]. Soil Dynamics and Earthquake Engineering, 1996, 15(2): 111-118.
    SHENG X, JONES C J C, THOMPSON D J. Prediction of ground vibration from trains using the wavenumber finite and boundary element methods[J]. Journal of Sound and Vibration, 2006, 293(3/5): 575-586.
    徐志英,徐新宁. 土的非线性对土-地下结构相互作用的影响[J]. 河海大学学报,1993,21(1): 11-15. XU Zhiying, XU Xinning. The influential factors on the soil-underground structure interaction due to the nonlinear mechanical behavior of soils[J]. Journal of Hohai University: Natural Sciences, 1993, 21(1): 11-15.
    BIOT M A. Theory of propagation of elastic waves in a fluid-saturated porous solid, low frequency range[J]. Journal Acoustic Social America, 1956, 28: 168-178.
    BIOT M A. Generalized theory of acoustic propagation in porous dissipative media[J]. Journal Acoustic Social America, 1962, 34(9A): 1254-1264.
    ANDERSEN L, NIELSEN S R K. Boundary element analysis of the steady-state response of an elastic half-space to a moving force on its surface[J]. Engineering Analysis with Boundary Elements, 2003, 27(1): 23-38.
    RASMUSSEN K M, NIELSEN S R K, KIRKEGAARD P H. Boundary element method in time domain for a moving time-dependent force[J]. Computer & Structure, 2001, 79(7): 69-701.
    NORRIS A N. Radiation from a point source and scattering theory in a fluid-saturated porous medium[J]. Journal Acoustic Social America, 1985, 77(2): 2012-2023.
    姜弘道. 弹性力学问题的边界元法[M]. 北京:中国水利水电出版社,2008: 60-70.
    • Relative Articles
    • Supplements(0)
    • Cited By
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Get Citation
    PDF
    XML
    Article views(927) PDF downloads(311) Cited by()
    Proportional views
    Related

    Copyright © 2009 Journal of Southwest Jiaotong University

    Address: RM449 & 451, Administrative Building, Xipu Campus, Southwest Jiaotong University Western Hi-tech Zone, Chengdu, Sichuan 611756, P. R. China

    Tel: 028-66367562Fax: 028-66366552Email: xbz@home.swjtu.edu.cn

    Supported by: Beijing Renhe Information Technology Co. Ltd  support: info@rhhz.net

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return