基础动力分析的一种半解析、半数值方法

龚文惠; 谢洪阳; 王元汉

基础动力分析的一种半解析、半数值方法

华中科技大学土木工程与力学学院,武汉 430074

详细信息

作者简介:
龚文惠(1966- ),女,湖北英山人,副教授,博士(联系人.E-mail:gwh8780@sina.com).

中图分类号: TU435
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- 文章访问数: 3108
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- 被引次数: 0
出版历程
- 收稿日期: 2004-11-08
- 修回日期: 2006-01-17
- 刊出日期: 2006-05-15

Semi-Analytical and Semi-Numerical Method for Dynamic Analysis of Foundation

School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China

摘要

摘要: 提出了一种基础动力分析的半解析、半数值计算方法．采用Lamb解及其相应的近似公式，建立了基础动反力和位移的关系式．从而可象静力问题那样将基础板分离出来，将板看作上部作用已知载荷，下部作用用挠度表示的地基反力，因此只需要对板进行有限元分析．采用这种方法分析了不同形状、不同刚度、不同频率下的地基板的振动问题，而且可以考虑基础埋深的影响．算例分析表明，提出的方法是一种计算简便、精度较高、适用范围广泛的有效数值方法．
- 基础动力分析 /
- 地基板 /
- 频率 /
- 半解析方法 /
- 有限元法
Abstract: A semi-analytical and semi-numerical method is proposed for the dynamic analysis of the foundations. The Lamb's solution and the approximate formulae were used to establish the relation of the contact force and deflection between the foundation and soil. Therefore, the foundation can be separated from soil and analyzed by FEM as for the static cases. The plate can be treated as that the known forces are acting on the upper surface, and the contact pressure from soil can be represented as the deflection. So that only the plate needs to be divided into elements in the analysis. By this method, a series of vibration problems, including various shapes and rigidities of the foundations, different excitation frequencies, were analyzed. Furthermore, it can be used for the embedded foundation. The numerical examples show that this method has simplicity, highly accurate and versatile. It is an effective method for the dynamic analysis of the foundation.
- dynamic analysis of foundation /
- foundation plate /
- frequency /
- semi-analytical method /
- finite element method

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参考文献(19)

[1]	严人觉，王贻荪，韩清宇.动力基础半空间理论概论[M]. 北京：中国建筑工业出版社，1981,89—251.
[2]	Richart F E Jr, Woods R D,Hall J R Jr.Vibration of Soils and Foundations[M].London:Prentice-Hall,1970,191—241.
[3]	Cheung Y K,Zienkiewicz O C.Plates and tanks on elastic foundation—an application of the finite element method[J].International Journal of Solids and Structures,1965,1(4):451—61. doi: 10.1016/0020-7683(65)90008-9
[4]	Cheung Y K.Beams, slabs and pavements[A].In:Desai C S,Christian J T Eds.Numerical Methods in Geotechnical Engineering[C].New York:McGraw-Hill,1977,176—210.
[5]	WANG Yuan-han,Tham L G,Cheung Y K.Beams and plates on elastic foundations: a review[J].Progress in Structural Engineering and Materials,2005,7(4):174—182. doi: 10.1002/pse.202
[6]	Lamb H.On the propagation over the surface of an elastic solid[J].Philosophical Transaction of the Royal Society, London，Ser A,1904,203(1):1—42. doi: 10.1098/rsta.1904.0013
[7]	Reissner E.Stationare axialsymmetrische durch eine schuttelnde masseerregte schwingungen eines homogenen elastischen halbraumes[J].Ingenieur Archiev,1936,7(6):381—396. doi: 10.1007/BF02090427
[8]	Reissner E.Freie und erzwungene torsionschwingungen des elastichen halbraumes[J].Ingenieur Archiev,1937,8(4):229—245. doi: 10.1007/BF02088941
[9]	Quinlan P M.The elastic theory of soil dynamics[J].American Society for Testing and Materials, Special Technical Publication,1956,(156):3—34.
[10]	Sung T Y.Vibration in semi-infinite solids due to periodic surface loading[J].American Society for Testing and Materials, Special Technical Publication,1956,(156):35—54.
[11]	Hsieh T K.Foundation vibrations[J].Proceedings Institute of Civil Engineers, London,1962,22(6):211—226. doi: 10.1680/iicep.1962.11089
[12]	Lysmer J,Richart F E Jr.Dynamic response of footings to vertical loading[J].Journal of Soil Mechanics and Foundation Division, ASEC,1966,92(1):65—91.
[13]	Bycroft G N.Forced vibrations of a rigid circular plate on a semi-infinite elastic space and on an elastic stratum[J].Philosophical Transactions of the Royal Society, London, Series A,1956,248:327—368. doi: 10.1098/rsta.1956.0001
[14]	Arnold R N,Bycroft G N,Warburton G B.Forced Vibrations of a body on an infinite elastic solid[J].Journal of Applied Mechanics, ASME,1955,77(3):391—400.
[15]	Bycroft G N. Machine foundation vibration[J].Proceedings of the Institution of Mechanical Engineers,1959,173(18):469—473. doi: 10.1243/PIME_PROC_1959_173_046_02
[16]	Luco J E,Westmann R A.Dynamic response of circular footings[J].Journal of Engineering Mechanics Division, ASCE,1971,97(5):1381—1395.
[17]	Veletson A S,Verbic B.Basic response functions for elastic foundations[J].Journal of Engineering Mechanics Division, ASCE,1974,100(2):189—202.
[18]	Novak M.Prediction of footing vibrations[J].Journal of the Soil Mechanics and Foundations, Div ASCE,1970,96(3):836—861.
[19]	Bycroft G N.Frequencies of a flexible circular plate attached to the surface of a light elastic half-space[J].Journal of Applied Mechanics, ASME,1959,26(3):13—19.