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横观各向同性饱和层状土中垂直受荷群桩的动力阻抗

王小岗

王小岗. 横观各向同性饱和层状土中垂直受荷群桩的动力阻抗[J]. 岩土工程学报, 2011, 33(11): 1759-1766.
引用本文: 王小岗. 横观各向同性饱和层状土中垂直受荷群桩的动力阻抗[J]. 岩土工程学报, 2011, 33(11): 1759-1766.
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WANG Xiao-gang. Dynamic impedance of pile groups subjected to vertical load in layered transversely isotropic saturated soils[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(11): 1759-1766.
Citation: WANG Xiao-gang. Dynamic impedance of pile groups subjected to vertical load in layered transversely isotropic saturated soils[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(11): 1759-1766.
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横观各向同性饱和层状土中垂直受荷群桩的动力阻抗  English Version

  • ( 台州学院建筑工程学院，浙江 台州 318000)

基金项目: 国家自然科学基金项目（ 50678108 ）；浙江省自然科学基金项目（ Y106264 ）
详细信息
    作者简介:

    王小岗 (1967 – ) ，男，陕西兴平人，博士，教授，主要从事土动力学、土–结构动力相互作用及结构抗震等方面的研究与教学工作。

  • 中图分类号: TU435

Dynamic impedance of pile groups subjected to vertical load in layered transversely isotropic saturated soils

  • (College of Civil Engineering and Architecture, Taizhou University, Taizhou 318000, China)

摘要

    摘要
  • 摘要: 给出了稳态振动时，垂直受荷群桩在 横观各向同性 饱和层状土中动力阻抗计算的一般方法。首先，基于 Biot 饱和介质的三维波动理论，借助 Hankel 变换，得到横观各向同性饱和土轴对称动力问题的通解，利用通解，给出饱和土层在 Hankel 变换域内的精确动力刚度矩阵，进而构建出饱和土层在竖向柱面荷载作用下的动力 Green 函数；其次，根据桩–土界面的位移协调及平衡条件，利用 Kynia 的方法，建立了饱和地基–群桩纵向耦合振动的边界元–有限元方程，给出了垂直受荷群桩动力阻抗的计算公式。算例表明：场地土的各向异性及土层刚度的变化，对摩擦型群桩动力刚度的影响要远大于对端承型群桩的影响。
    Abstract: A method to calculate the dynamic impedance of pile groups subjected to vertical harmonic load in layered transversely isotropic saturated soils is proposed. Based on the Biot’s wave theory for fluid-saturated porous media, the general solutions of axial symmetrical dynamic equations for transversely isotropic saturated soils are presented by means of the Hankel integral transform. Then, using the general solutions, the exact dynamic stiffness matrix in the Hankel’s transform domain for a layered saturated stratum and saturated half-space is derived respectively, and the dynamic Green’s function of saturated stratum subjected to internal barrel distributed vertical load is obtained as a result. Furthermore, through a combination of the boundary element method and the finite element method, a system of algebraic equations by satisfying the interface equilibrium and compatibility with pile groups and layered transversely isotropic saturated soils are introduced according to the Kynia’s methodology. The calculated results indicate that the effects of the anisotropy in soil skeleton and the dynamic stiffness in layered saturated stratum on the dynamic impedance of end-bearing pile groups are relatively weak, but are obvious on that of friction pile groups.
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    • 参考文献(19)
  • [1] ZENG X, RAJAPAKSE R K N D. Vertical vibrations of a rigid disk embedded in a poroelastic medium[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1999, 23 (15): 2075 – 2095.
    [2] ZENG X, RAJAPAKSE R K N D. Dynamic axial load transfer from elastic bar to poroelastic medium[J]. International Journal for Engineering Mechanics , 1999, 125 (9): 1048 – 1055.
    [3] WANG J H, ZHOU X L, LU J F. Dynamic response of pile groups embedded in a poroelastic medium[J]. Soil Dynamics and Earthquake Engineering, 2003, 23 : 235 – 242.
    [4] JIN B, ZHOU D, ZHONG Z. Lateral dynamic compliance of pile embedded in poroelastic half space[J]. Soil Dynamics and Earthquake Engineering, 2001, 21 : 519 – 525.
    [5] 李 强 , 王奎华 , 谢康和 . 饱和土中端承桩纵向振动特性研究 [J]. 力学学报 , 2004, 36 (4): 435 – 442. (LI Qiang, WANG Kui-hua, XIE Kang-he. Vertical vibration of an end bearing pile embedded in saturated soil[J]. Acta Mechnamica, 2004, 36 (4): 435 – 442. (in Chinese))
    [6] 李 强 , 王奎华 , 谢康和 . 饱和土桩纵向振动引起土层复阻抗分析研究 [J]. 岩土工程学报 , 2004, 26 (5): 679 – 683. (LI Qiang, WANG Kui-hua, XIE Kang-he. Study on saturated soil resistance factor caused by pile longitudinal vibration[J]. Chinese Journal of Geotechnical Engineering, 2004, 26 (5): 679 – 683. (in Chinese))
    [7] 李 强 , 王奎华 , 谢康和 . 冻融作用下基桩竖向振动动力特性研究 [J]. 岩土工程学报 , 2006, 28 (1): 48 – 55. (LI Qiang, WANG Kui-hua, XIE Kang-he. Dynamic response of vertically vibrating pile during freezing and thawing[J]. Chinese Journal of Geotechnical Engineering, 2006, 28 (1): 48 – 55. (in Chinese))
    [8] 李 强 . 考虑三维波动的的饱和土中桩纵向耦合振动理论 [D]. 杭州 : 浙江大学 , 2004. (LI Qiang. Study on pile longitudinal vibration in saturated soil considering three dimensional wave effect[D]. Hangzhou: Zhejiang University, 2004. (in Chinese))
    [9] ZHANG Yin-ke, HUANG Yi. The non-axisymmetrical dyna- mic response of transversely isotropic saturated poroelastic media[J]. Applied Mathematic and Mechanics (English Edition) , 2001, 22 (1): 63 – 78.
    [10] HUANG Yi, WANG Xiao-gang . The non-axisymmetrical Lamb’s problem in transversely isotropic saturated poroelastic media[J]. Science in China (Series E) (English Edition) , 2004, 47 (5): 526 – 549.
    [11] WANG Xiao-gang, HUANG Yi. 3-D dynamic response of transversely isotropic saturated soils[J] . Applied Mathe-matics and Mechanics (English Edition) , 2005, 26 (11): 1409 – 1419.
    [12] WANG Xiao-gang. Non-axisymmetrical vibration of elastic circular plate on layered transversely isotropic saturated ground[J]. A pplied Mathematics and Mechanics (English Edition) , 2007, 28 (10): 1232 – 1244.
    [13] WANG Xiao-gang. The non-axial symmetrical transient response of transversely isotropic saturated soils to internal loading[J]. Chinese Journal of Geophysic (English Edition) , 2009, 52 (8): 2084 – 2092.
    [14] 王小岗 . 埋置力源下横观各向同性饱和地基的三维 Lamb 问题解答 [J]. 岩土工程学报 , 2009, 31 (11): 1686 – 1691. (WANG Xiao-gang. The 3-D Lamb’s problem in transversely isotropic saturated soils subjected to the internal excitation[J]. Chinese Journal of Geotechnical Engineering, 2009, 31 (11): 1686 – 1691. (in Chinese))
    [15] 王小岗 . 横观各向同性饱和地基中柱面荷载的动力 Green 函数 [J] . 力学学报 , 2010, 42 (5): 909 – 918. (WANG Xiao-gang. D ynamic green’s function for internal barrel loads in transversely isotropic saturated soils[J]. Acta Mechnamica, 2010, 42 (4): 909 – 918. (in Chinese))
    [16] 陈 刚 , 蔡袁强 , 徐长节 . 横观各向同性饱和土中埋置弹性桩的扭转振动 [J]. 浙江大学学报 ( 工学版 ), 2008, 42 (1): 13 – 18. (CHEN Gang, CAI Yuan-qiang, XU Chang-jie. Torsional vibration of elastic pile in transversely isotropic saturated soil[J]. Journal of Zhejiang University (Engineering Science), 2008, 42 (1): 13 – 18. (in Chinese))
    [17] KAYNIA A M, KAUSEL E. Dynamic behavior of pile groups [C]// 2nd International Confess Numerical Methods offshore piling. Austin, T X. 1982: 509 – 532.
    [18] SEN R, KAUSEL E, BANERJEE P K. Dynamic analysis of piles and pile groups embedded in non-homogeneous soils[J]. International Journal for Numberical and Analytical Methods in Geomechanics, 1985, 9 : 507 – 524.
    [19] MAMOON S M, KAYNIA A M, BANERJEE P K. Frequency domain dynamic analysis of piles and pile groups[J]. Journal of Engineering Mechanics, 1990, 116 (10): 2237 – 2257.
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  • 发布日期:  2011-11-14

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