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Exact Elasticity Solution for Axisymmetric Deformation of Circular Plates

Published online by Cambridge University Press:  15 July 2015

W.-D. Tseng  and
J.-Q. Tarn
W.-D. Tseng*
Affiliation:
Department of Construction Engineering, Nan Jeon University of Science and Technology, Tainan, Taiwan
J.-Q. Tarn
Affiliation:
Department of Civil Engineering, National Cheng Kung University, Tainan, Taiwan
*
*Corresponding author ([email protected])
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Abstract

We present an exact analysis of axisymmetric bending of circular plates according to elasticity theory. On the basis of Hamiltonian state space approach, a rigorous solution of the problem is determined by means of separation of variables and symplectic eigenfunction expansion in a systematic way. The thickness effect on bending of circular plates and the applicability of the classical plate solutions for the problem are evaluated accordingly.

Keywords

Circular platesState spaceThickness effectThree-dimensional elasticity
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 6 , December 2015 , pp. 617 - 629
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2015 

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References

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