Analysis of Clamped Plates on Elastic Foundation by the Boundary Integral Equation Method

1984 ◽  
Vol 51 (3) ◽  
pp. 574-580 ◽  
Author(s):  
J. T. Katsikadelis ◽  
A. E. Armena`kas
Keyword(s):  
Integral Equation ◽  
Integral Equations ◽  
Elastic Foundation ◽  
Boundary Integral Equation ◽  
Numerical Evaluation ◽  
Boundary Integral Equations ◽  
Numerical Technique ◽  
Integral Equation Method ◽  
Boundary Integral ◽  
Plates On Elastic Foundation

In this investigation the boundary integral equation (BIE) method with numerical evaluation of the boundary integral equations is developed for analyzing clamped plates of any shape resting on an elastic foundation. A numerical technique for the solution to the boundary integral equations is presented and numerical results are obtained and compared with those existing from analytical solutions. The effectiveness of the BIE method is demonstrated.

Free Vibration Analysis of Plates on Winkler Elastic Foundation by Boundary Element Method

2012 ◽  
Vol 529 ◽  
pp. 246-251
Author(s):  
Guang Peng Zhang ◽  
Tian Xia Zou ◽  
Yao Hui Sang ◽  
Ning Kang
Keyword(s):  
Free Vibration ◽  
Machine Tool ◽  
Integral Equations ◽  
Elastic Foundation ◽  
Thin Plate ◽  
Boundary Integral Equations ◽  
Boundary Integral ◽  
Scanning Method ◽  
Winkler Elastic Foundation ◽  
Machine Tool Structure

Plates are widely used in the machine tool structure. Based on the differential equations of flexural free vibration of a thin plate on Winkler elastic foundation, its dynamic fundamental solutions and the dynamic boundary integral equations are established. The solving methods of the corner point problems are given out. The quadratic elements are used to discretize the boundary integral equations and the receptance mtrix equations of a thin plate on Winkler elastic foundation are established. The fequency scanning method is used to obtain the natural frequencies of the thin plate on Winkler elastic foundation. Case studies showed the effectiveness of the proposed BEM dynamical analysis, which can be also used in the dymical analysis of joints in a machine tool structure.

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