• 全国中文核心期刊
  • 中国科技核心期刊
  • 美国工程索引(EI)收录期刊
  • Scopus数据库收录期刊
YU Jun, SHANG Shou-ping, HUANG Juan, YANG Jun-sheng. Applicability of simplified model of Biot's dynamic consolidation equation to response of horizontal vibration of piles[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(8): 1558-1563. DOI: 10.11779/CJGE201408024
Citation: YU Jun, SHANG Shou-ping, HUANG Juan, YANG Jun-sheng. Applicability of simplified model of Biot's dynamic consolidation equation to response of horizontal vibration of piles[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(8): 1558-1563. DOI: 10.11779/CJGE201408024

Applicability of simplified model of Biot's dynamic consolidation equation to response of horizontal vibration of piles

More Information
  • Received Date: November 17, 2013
  • Published Date: August 18, 2014
  • The applicability of simplified model of Biot's dynamic consolidation equation to response of horizontal vibration of piles is analysed. The potential functions are introduced to decouple the governing differential equations, and then the analytical solution neglecting the vertical continuity of soil and water is derived. Based on the previous researches, the impedance functions of the head of piles are discussed using the single-phase soil model, the equivalent single-phase soil model and the model neglecting fluid inertia term and vertical continuity of soil and water, the model considering fluid inertia term and neglecting vertical continuity of soil and water, and the model considering fluid inertia term and vertical continuity of soil and water. It is concluded that the conditions of Biot’s dynamic consolidation equation can be simplified.
  • [1]
    NOVAK M, ABOUL E F. Dynamic stiffness and damping of piles[J]. Canadian Geotechnical Journal, 1974, 11(4): 574-598.
    [2]
    NOGAMI T, NOVAK M. Resistance of soil to a horizontally vibrating pile[J]. Earthquake Engineering and Structure Dynamic, 1977, 5(2): 249-261.
    [3]
    NOVAK M, NOGAMI T. Soil-Pile interaction in horizontal vibration[J]. Earthquake Engineering and Structure Dynamic, 1977, 5(2): 263-281.
    [4]
    GAZETAS G, DOBRY R. Horizontal response of piles in layered soils[J]. Journal of Geotechnical Engineering, ASCE, 1984, 110(1): 20-40.
    [5]
    陈少林, 廖振鹏. 两相介质动力学问题的研究进展[J]. 地震工程与工程振动, 2002, 22(2): 1-8. (CHEN Shao-lin, LIAO Zhen-peng. Advances in research on two-phase media dynamic problem[J]. Earthquake Engineering and Engineering Vibration, 2002, 22(2): 1-8. (in Chinese))
    [6]
    余 俊, 尚守平, 李 忠, 等. 饱和土中桩水平振动引起土层复阻抗分析研究[J]. 岩土力学, 2009, 30(12): 3858-3864. (YU Jun, SHANG Shou-ping, LI Zhong, et al. Study of resistance factor of saturated soil caused by horizontal vibration of pile[J]. Rock and Soil Mechanics, 2009, 30(12): 3858-3864. (in Chinese))
    [7]
    BIOT M A. The theory of propagation of elastic waves in a fluid-saturated porous solid: I. Low-frequency range[J]. The Journal of the Acoustical Society of America, 1956, 28(2): 168-178.
    [8]
    BIOT M A. The theory of propagation of elastic waves in a fluid-saturated porous solid: II. Higher-frequency range[J]. The Journal of the Acoustical Society of America, 1956, 28(2): 179-191.
    [9]
    BIOT M A. Generalized theory of acoustic propagation in porous dissipative media[J]. The Journal of the Acoustical Society of America, 1962, 34(9): 1254-1264.
    [10]
    ZENG X, RAJAPAKSE R K N D. Dynamic axial load transfer from elastic bar to poroelastic medium[J]. Journal of Engineering Mechanics, ASCE, 1999, 125(9): 1048-1055.
    [11]
    张玉红, 黄 义. 两相介质饱和土三维非轴对称稳态响应分析[J]. 应用力学学报, 2002, 19(3): 85-89. (ZHANG Yu-hong, HUANG Yi. Stable response of the 3-D non-axisymmetric two-phase water-saturated soil[J]. Chinese Journal of Applied Mechanics, 2002, 19(3): 85-89. (in Chinese))
    [12]
    周香莲, 周光明, 王建华. 水平简谐荷载作用下饱和土中群桩的动力反应[J]. 岩石力学与工程学报, 2005, 24(8): 1433-1438. (ZHOU Xiang-lian, ZHOU Guang-ming, WANG Jian-hua. Dynamic response of pile group in saturated soil subjected to horizontal loads[J]. Chinese Journal of Rock Mechanics, 2005, 24(8): 1433-1438. (in Chinese))
    [13]
    陆建飞. 频域内半空间饱和土中水平受荷桩的动力分析[J].岩石力学与工程学报, 2001, 21(4): 577-581. (LU Jian-fei. Dynamic frequency domain analysis on laterally loaded pile in saturated soil[J]. Chinese Journal of Rock Mechanics, 2001, 21(4): 577-581. (in Chinese))
    [14]
    ZIENKIEWICZ O C, SHION T. Dynamic behaviour of saturated porous media; The generalized Biot formulation and its numerical solution[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1984, 8: 71-96.
    [15]
    尚守平, 余 俊, 王海东, 等. 饱和土中桩水平振动分析[J]. 岩土工程学报, 2007, 29(11): 1696-1702. (SHANG Shou-ping, YU Jun, WANG Hai-dong, et al. Horizontal vibration of piles in saturated soil[J]. Chinese Journal of Geotechnical Engineering, 2007, 29(11): 1696-1702. (in Chinese))
    [16]
    余 俊, 尚守平, 李 忠, 等. 饱和土中端承桩水平振动动力响应分析[J]. 岩土工程学报, 2009, 31(3): 408-415. (YU Jun, SHANG Shou-ping, LI Zhong, et al. Dynamical characteristics of an end bearing pile embedded in saturated soil under horizontal vibration[J]. Chinese Journal of Geotechnical Engineering, 2009, 31(3): 408-415.(in Chinese))

Catalog

    Article views (389) PDF downloads (447) Cited by()
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return