SEMI-ANALYTICAL AND SEMI-NUMERICAL METHOD FOR DYNAMIC ANALYSIS OF FOUNDATION

• Published in: Applied mathematics and mechanics Vol. 27; no. 5; pp. 607 - 615
• Main Author: 龚文惠 谢洪阳 王元汉
• Format: Journal Article
• Language: English
• Published: School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China 01.05.2006
• Subjects: Approximation; Deflection; Dynamic tests; Dynamics; Finite element method; Foundations; Mathematical models; Soil (material); 准解析法; 地基动态分析; 地基板块; 有限元法; foundation plate; dynamic analysis of foundation; finite element method; semi-analytical method; frequency
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-006-0506-1

A semi-analytical and semi-numerical method is proposed for the dynamic analysis of 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 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 foundations.