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Dynamic Analysis of Circular Plate on Elastic Foundation by EFHT Method

Published online by Cambridge University Press:  05 May 2011

Lai-Yun Wu  and
Wen-Haur Lee
Lai-Yun Wu*
Affiliation:
Department of Civil Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
Wen-Haur Lee*
Affiliation:
Department of Civil Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
*Associate Professor
**Graduate student
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Abstract

The dynamic response of a homogeneous, isotropic and elastic circular plate on an elastic foundation subjected to axisymmetric time dependent loads is investigated both analytically and numerically in thisv paper. First, the Extended Finite Hankel Transform (EFHT) is derived. After applying the technique of the EFHT to the governing equation of the vibrating circular plate, the governing partial differential equation (PDE) is transformed into the governing ordinary differential equation (ODE). Therefore, the analytical solution of the plate problem can be found completely. Once the dynamic response of the plate is solved, the internal forces of the plate, including shear force, bending moment and torsion, can be obtained subsequently. Under the particular case that elastic springs do not exist under the foundation, the dynamic response of the circular plate by the method of EFHT matches exactly with that by the method of modal analysis. By comparing the methods of EFHT, Boundary Element Method (BEM) and Finite Element Method (FEM), the results indicate that the proposed method of EFHT is accurate, systematic and convenient.

Keywords

Elastic foundationCircular plateDynamic responseExtended Finite Hankel TransformBoundary Element MethodFinite Element Method
Type
Articles
Information
Journal of Mechanics , Volume 19 , Issue 3 , September 2003 , pp. 337 - 347
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2003

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References

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