饱和地基上弹性基础的竖向振动特性研究

王国才; 王哲; 孟凡丽

饱和地基上弹性基础的竖向振动特性研究

浙江工业大学建筑工程学院,杭州 310014

基金项目: 浙江省自然科学基金资助项目(Y105480);浙江省教育厅基金资助项目(20051414)

详细信息

作者简介:
王国才(1971- ),男,安徽天长人,副教授(联系人.Tel:+86-571-88320460;Fax:+86-571-88320124;E-mail:wanggczjut@hotmail.com).

中图分类号: TU476
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- 文章访问数: 2558
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- 被引次数: 0
出版历程
- 收稿日期: 2007-03-13
- 修回日期: 2007-07-09
- 刊出日期: 2007-09-15

Vertical Vibrations of Elastic Foundation Resting on Saturated Half-Space

School of Civil Engineering and Architecture, Zhejiang University of Technology, Hangzhou 310014, P. R. China

摘要

摘要: 采用解析的方法研究了饱和地基上受一简谐竖向荷载作用下弹性基础的动力响应．在分析中，首先利用积分变换技术获得了饱和介质基本控制方程的变换解，然后基于基础-半空间完全放松接触、半空间表面完全透水或不透水的假设，建立了该动力混合边值问题的对偶积分方程，并把该对偶积分方程进一步化为易于数值求解的第二类Fredholm积分方程A·D2文末数值算例给出了动力柔度系数、位移和孔隙水压力随振动频域和土-基础体系物理力学参数特性的变化曲线．结果表明：饱和地基上弹性基础的动力响应完全不同于饱和地基上刚性圆板的动力响应．所用方法可用于研究波的传播、土-结构动力相互作用等许多问题．
- 饱和地基 /
- 弹性基础 /
- 竖向振动 /
- 动柔度 /
- 对偶积分方程
Abstract: The dynamic response of an elastic foundation of finite height bonded to the surface of a saturated halfspace is mainly concerned with. The foundation is subjected to time-harmonic vertical loadings. First, the transform solutions for the governing equations of the saturated media were obtained. Then, based on the assumption that the contact between the foundation and the halfspace was fully relaxed and the half-space was completely pervious or impervious, this dynamic mixed boundary-value problem can lead to dual integral equations, which can be further reduced to the Fredholm integral equations of the second kind and solved by numerical procedures. In the numerical examples, the dynamic compliances, displacements and pore pressure are developed for a wide range of frequencies and material/geometrical properties of the saturated soilfoundation system. In most cases, the dynamic behavior of an elastic foundation resting on the saturated media significantly differs from that of a rigid disc on the saturated half-space. The solutions obtained can be used to study a variety of wave propagation problems and dynamic soil-structure interactions.
- saturated medium /
- elastic foundation /
- vertical vibration /
- dynamic compliance /
- dual integral equation

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参考文献(15)

[1]	Lamb H.On the propagation of tremors over the surface of an elastic solid [J].Philos T Roy Soc A,Ser A,1904,203:1-42. doi: 10.1098/rsta.1904.0013
[2]	Meek J W, Wolf J P.Approximate Green's function for surface foundations[J].J Geotech Eng,1993,119(10):1499-1514. doi: 10.1061/(ASCE)0733-9410(1993)119:10(1499)
[3]	Vrettos C. Vertical and rocking impedances for rigid rectangular foundations on soils with bounded non-homogeneity[J].Earthq Eng Struct D,1999,28(12):1525-1540. doi: 10.1002/(SICI)1096-9845(199912)28:12<1525::AID-EQE879>3.0.CO;2-S
[4]	Genes M C, Kocak S.Dynamic soil-structure interaction analysis of layered unbounded media via a coupled finite element/ boundary element/ scaled boundary finite element model[J].Int J Numer Meth Engng,2005,62(6):798-823. doi: 10.1002/nme.1212
[5]	Barros P L A. Impedances of rigid cylindrical foundations embedded in transversely isotropic soils[J].Int J Numer Anal Methods Geomech,2006,30(7):683-702. doi: 10.1002/nag.496
[6]	Biot M A. The theory of propagation of elastic waves in a fluid-saturated porous solid[J].J Acoust Soc Am,1956,28(2):168-191. doi: 10.1121/1.1908239
[7]	Kassir M K, Xu J,Bandyopadyay K. Rotatory and horizontal vibrations of a circular surface footing on a saturated elastic half-space[J].Int J Solids Struct,1996,33(12):265-281. doi: 10.1016/0020-7683(95)00030-E
[8]	Bo J, Hua L. Vertical dynamic response of a disk on a saturated poroelastic half-space[J].Soil Dyn Earthq Eng,1999,18(6):437-443. doi: 10.1016/S0267-7261(99)00013-5
[9]	Chen L, Wang G.Torional vibrations of elastic foundation on saturated media[J].Soil Dyn Earthq Eng,2002,22(3):223-227. doi: 10.1016/S0267-7261(02)00012-X
[10]	Senjuntichai T, Sapsathiarn Y. Forced vertical vibration of circular plate in multilayered poroelastic medium[J].J Eng Mech-ASCE,2003,129(11):1130-1141. doi: 10.1061/(ASCE)0733-9399(2003)129:10(1130)
[11]	Wang G, Chen L,Song C.Finite-infinite element for dynamic analysis of axisymmetrically saturated composite foundations[J].Int J Numer Meth Engng,2006,67(7):916-932. doi: 10.1002/nme.1654
[12]	Biot M A. Mechanics of deformation and acoustic propagation in porous media[J].J Appl Phys,1962,33(4):1482-1498. doi: 10.1063/1.1728759
[13]	Bishop R E D, Johnson D C.The Mechanics of Vibration[M].Cambridge:Cambridge University Press,1979.
[14]	Erdelyi A,Sneddon I N. Fractional integration and dual integral Equations [J].Can J Math,1962,14(4):686-693.
[15]	Noble B. The solution of Bessel function dual integral equation by a multiplying-factor method[J].Proc Camb Phil Soc A,1963,59(2):351-362. doi: 10.1017/S0305004100036987

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饱和地基上弹性基础的竖向振动特性研究

作者简介:
王国才(1971- ),男,安徽天长人,副教授(联系人.Tel:+86-571-88320460;Fax:+86-571-88320124;E-mail:wanggczjut@hotmail.com).

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Vertical Vibrations of Elastic Foundation Resting on Saturated Half-Space

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留言板

饱和地基上弹性基础的竖向振动特性研究

作者简介: 王国才(1971- ),男,安徽天长人,副教授(联系人.Tel:+86-571-88320460;Fax:+86-571-88320124;E-mail:wanggczjut@hotmail.com).

计量

出版历程

Vertical Vibrations of Elastic Foundation Resting on Saturated Half-Space

计量

出版历程

目录

作者简介:
王国才(1971- ),男,安徽天长人,副教授(联系人.Tel:+86-571-88320460;Fax:+86-571-88320124;E-mail:wanggczjut@hotmail.com).