| An Effective Method for Free Vibration of Plate on Elastic Half Space |
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| 作者姓名： | WangYuanhan GongWenhui |
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| 作者单位： | SchoolofCivilEngineeringandMechanics,HuazhongUniversityofScienceandTechnology,Wuhan430074,China |
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| 基金项目： | ThispaperissupportedbytheKeyLaboratoryofRockandSoilMechanics,theChineseAcademyofSciences(Z11020). |
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| 摘 要： | 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 Lambs 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.
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| 关 键 词： | 石油勘探 自由变量 有限元法 弹性半球面 |
An Effective Method for Free Vibration of Plate on Elastic Half Space |
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| WangYuanhan GongWenhui.An Effective Method for Free Vibration of Plate on Elastic Half Space[J].Journal of China University of Geosciences,2004,15(4):401-408. |
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| Authors: | Wang Yuanhan Gong Wenhui |
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| Abstract: | 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. |
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| Keywords: | plate soil half space free vibration frequency finite element method |
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