| Citation: | Yuanhan Wang, Wenhui Gong. An Effective Method for Free Vibration of Plate on Elastic Half Space. Journal of Earth Science, 2004, 15(4): 401-408.
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The vibration analysis of a plate on an elastic foundation is an important problem in engineering.It is the interaction of a plate with the three-dimensional half space and the plate is usually loaded from both the upper and lower surfaces.The contact pressure from the soil can not be predefined.According to Lamb's solution for a single oscillating force acting on a point on the surface of an elastic half space, and the relevant approximation formulae, a relation between the local pressure and the deflection of the plate has been proposed.Based on this analysis, the reaction of the soil can be represented as the deformation of the plate.Therefore, the plate can be separated from the soil and only needs to be divided by a number of elements in the analysis.The following procedure is the same as the standard finite element method.This is a semi-analytical and semi-numerical method.It has been applied to the dynamic analysis of circular or rectangular plates on the elastic half space, at low or high frequency vibration, and on rigid, soft or flexible foundations.The results show that this method is versatile and highly accurate.
| Bowles, J.E., 1977. Foundation Analysis and Design. Second Edition. McGraw-Hill, New York |
| Bycroft, G.N., 1959. Frequencies of a Flexible Circular Plate Attached to the Surface of a Light Elastic Half-Space. Journal of Applied Mechanics, AS ME, 26: 13－17 doi: 10.1115/1.4011916 |
| Cheung, Y.K., 1977. Beams, Slabs and Pavements. In: Desai, C.S., Christian, J.T., eds., Numerical Methods in Geotechnical Engineering. McGraw-Hill, New York. 176 －210 |
| Cheung, Y.K., Zienkiewicz, O.C., 1965. Plates and Tanks on Elastic Foundation－An Application of the Finite Element Method. International Journal of Solids and Structures, 1: 451－61 doi: 10.1016/0020-7683(65)90008-9 |
| Das, B.M., 1983. Fundamentals of Soil Dynamics. Elsevier, New York |
| Duns, C.S., 1969. Vertical Response of a Rigid Base to Dynamic Loading. Civil Engineering and Public Works Review, 64: 1091－1095 |
| Dutta, S.C., Roy, R., 2002. A Critical Review on Idealization and Modeling for Interaction among Soi-l Foundation-Structure System. Computers and Structures, 80: 1579－1594 doi: 10.1016/S0045-7949(02)00115-3 |
| Hsieh, T.K., 1962. Foundation Vibrations. Proceedings Institute of Civil Engineers, London, 22: 211－226 doi: 10.1680/iicep.1962.11089 |
| Luco, J.E., Westmann, R.A., 1971. Dynamic Response of Circular Footings. Journal of Engineering Mechanics Division, ASCE, 97(5): 1381－1395 doi: 10.1061/JMCEA3.0001467 |
| Quinlan, P.M., 1956. The Elastic Theory of Soil Dynamics. American Society for Testing and Materials, Special Technical Publication, (156): 3－34 |
| Reissner, E., 1936. Stationare Axialsymmetriche Durch Eine Schutternde Masse Erregte Schwingiungen Eines Homogenen Elastischen Halbraumes. Ingenieur Archiev, 7(6): 381 －396 doi: 10.1007/BF02090427 |
| Reissner, E., 1937. Freie und Erazwungene Torsionschwiugngen des Elastichen Halbraumes. Ingenieur Archiev, 8(4): 229 －245 doi: 10.1007/BF02088941 |
| Richard, F.E. Jr., Woods, R.D., Hall, J.R. Jr., 1970. Vibration of Soils and Foundations. Prentice-Hall, New Jersey |
| Sung, T.Y., 1956. Vibration in Sem-i infinite Solids due to Periodic Surface Loading. American Society for Testing and Materials, Special Technical Publication, (156): 35－63 |
| Veletson, A.S., Verbic, B., 1974. Basic Response Functions for Elastic Foundations. Journal of Engineering Mechanics Division, ASCE, 100(2): 189－202 doi: 10.1061/JMCEA3.0001869 |
| Wang, Y. H., Cheung, Y. K., 2001. Plate on CrossAnisotropic Foundation Analyzed by the Finite Element Method. Computers and Geotechnics, 28: 37－54 doi: 10.1016/S0266-352X(00)00018-5 |
| Wang, Y.H., Ni, J., Cheung, Y.K., 2000. Plate on Nonhomogeneous Elastic Half-Space Analyzed by FEM. Structural Engineering and Mechanics, 9: 127－39(in Chinese) doi: 10.12989/sem.2000.9.2.127 |
| Wang, Y.H., Tham, L.G., Tsui, Y., et al., 2003. Plate on Layered Foundation Analyzed by a Sem-i analytical and Sem-i numerical Method. Computers and Geotechnics, 30: 409 －418 doi: 10.1016/S0266-352X(03)00014-4 |
| Wolf, T.P., 1985. Dynamic Soi-l Structure Interaction. Prentice-Hall, London |
| Yan, R.J., Wang, Y.S., Han, Q.Y., 1981. Introduction of Theory of Dynamic Foundation in Half Space. China Construction Industry Press, Beijing (in Chinese) |
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