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

GONG Wen-hui; XIE Hong-yang; WANG Yuan-han

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GONG Wen-hui, XIE Hong-yang, WANG Yuan-han. Semi-Analytical and Semi-Numerical Method for Dynamic Analysis of Foundation[J]. Applied Mathematics and Mechanics, 2006, 27(5): 539-546.

Citation:

GONG Wen-hui, XIE Hong-yang, WANG Yuan-han. Semi-Analytical and Semi-Numerical Method for Dynamic Analysis of Foundation[J]. Applied Mathematics and Mechanics, 2006, 27(5): 539-546.

Citation:

GONG Wen-hui, XIE Hong-yang, WANG Yuan-han. Semi-Analytical and Semi-Numerical Method for Dynamic Analysis of Foundation[J]. Applied Mathematics and Mechanics, 2006, 27(5): 539-546.

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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

Received Date: 2004-11-08
Rev Recd Date: 2006-01-17
Publish Date: 2006-05-15

Abstract

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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References(19)

References

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