CLC number: TU435
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 0000-00-00
Cited: 0
Clicked: 7071
WANG Guo-cai, CHEN Long-zhu. Torsional oscillations of a rigid disc bonded to multilayered poroelastic medium[J]. Journal of Zhejiang University Science A, 2005, 6(3): 213-221.
@article{title="Torsional oscillations of a rigid disc bonded to multilayered poroelastic medium",
author="WANG Guo-cai, CHEN Long-zhu",
journal="Journal of Zhejiang University Science A",
volume="6",
number="3",
pages="213-221",
year="2005",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2005.A0213"
}
%0 Journal Article
%T Torsional oscillations of a rigid disc bonded to multilayered poroelastic medium
%A WANG Guo-cai
%A CHEN Long-zhu
%J Journal of Zhejiang University SCIENCE A
%V 6
%N 3
%P 213-221
%@ 1673-565X
%D 2005
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2005.A0213
TY - JOUR
T1 - Torsional oscillations of a rigid disc bonded to multilayered poroelastic medium
A1 - WANG Guo-cai
A1 - CHEN Long-zhu
J0 - Journal of Zhejiang University Science A
VL - 6
IS - 3
SP - 213
EP - 221
%@ 1673-565X
Y1 - 2005
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2005.A0213
Abstract: This paper deals mainly with the dynamic response of a rigid disc bonded to the surface of a layered poroelastic half-space. The disc is subjected to time-harmonic torsional moment loadings. The half space under consideration consists of a number of layers with different thickness and material properties. Hankel transform techniques and transferring matrix method are used to solve the governing equations. The continuity of the displacement and stress fields between different layers enabled derivation of closed-form solutions in the transform domain. On the assumption that the contact between the disc and the half space is perfectly bonded, this dynamic mixed boundary-value problem can be reduced to dual integral equations, which are further reduced to Fredholm integral equations of the second kind and solved by numerical procedures. Selected numerical results for the dynamic impedance and displacement amplitude of the disc resting on different saturated models are presented to show the influence of the material and geometrical properties of both the saturated soil-foundation system and the nature of the load acting on it. The conclusions obtained can serve as guidelines for practical engineering.
[1] Biot, M.A., 1956. Theory of propagation of elastic waves in a fluid-saturated porous solid. Journal of the Acoustical Society of America, 28:168-191.
[2] Bo, J., Hua, L., 1999. Vertical dynamic response of a disk on a saturated poroelastic half-space. Soil Dynamics and Earthquake Engineering, 18:437-443.
[3] Dargush, G.F., Chopra, M.B., 1996. Dynamic analysis of axisymmetric foundations on poroelastic media. Journal of Engineering Mechanics, Div., 112(7):623-632.
[4] Gladwell, G.M.L., 1968. Forced tangential and rotatory vibration of a rigid circular disc on a semi-infinite solid. International Journal of Engineering Science, 6:591-607.
[5] Gucunski, N., Peek, R., 1993. Vertical vibrations of circular flexible foundations on layered media. Soil Dynamics and Earthquake Engineering, 12:183-192.
[6] Halpern, M.R., Christiano, P., 1986. Steady-state harmonic response of a rigid plate bearing on a liquid-saturated poroelastic halfspace. Earthquake Engineering and Structural Dynamics, 14:439-454.
[7] Japon, B.R., Gallego, R., Dominguez, J., 1997. Dynamic stiffness of foundations on saturated poroelastic soils. Journal of Engineering Mechanics, Div., 123(11):1121-1129.
[8] Kassir, M.K., Xu, J., 1988. Interaction functions of a rigid strip bonded to saturated elastic half-space. International Journal of Solids and Structures, 24(9):915-936.
[9] Keer, L.M., Jabali, H.H., Chantaramungkorn, K., 1974. Torsional oscillations of a layer bonded to an elastic half-space. International Journal of Solids and Structures, 10:1-13.
[10] Luco, J.E., Westmann, R.A., 1971. Dynamic response of circular footings. Journal of Engineering Mechanics, ASCE, 97(5):1381-1395.
[11] Luco, J.E., Westmann, R.A., 1972. Dynamic response of a rigid footing bonded to an elastic half space. Journal of Applied Mechanics, ASME, 39:527-534.
[12] Noble, B., 1963. The solution of Bessel function dual integral equations by a multiplying-factor method. Proc. Camb. Phil. Soc., 59:351-362.
[13] Philippacopoulos, A.J., 1989. Axisymmetric vibration of disk resting on saturated layered half-space. Journal of Engineering Mechanics, ASCE, 115:1740-1759.
[14] Rajapakse, R.K.N.D., Senjuntichai, T., 1995. Dynamic response of a multi-layered poroelastic medium. Earthquake Engineering and Structural Dynamics, 24:703-722.
[15] Tranter, C.J., 1959. Integral Transforms in Mathematical Physics. John Wiley & Sons Press, New York.
[16] Tsai, Y.M., 1989. Torsional vibrations of a circular disk on an infinite transversely isotropic medium. International Journal of Solids and Structures, 25:1069-1076.
[17] Wang, G.C., 2002. Study on the Torsional Vibrations of Foundations Resting on Saturated Grounds. School of Architectural and Civil Engineering, Zhejiang University, Hangzhou (in Chinese).
[18] Watson, G.N., 1958. A Treatise on the Theory of Bessel Functions. Cambridge University Press, England.
Open peer comments: Debate/Discuss/Question/Opinion
<1>