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Proceedings Paper

Variational principle and vibration properties of functionally graded circular plate with temperature changes
Author(s): Tao Fan; Guangping Zou
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Paper Abstract

In this paper, the variational principle of functionally graded circular plate is presented by the variational integral method taking temperature change into account. The vibration governing equation is illustrated, which will be benefit for the numerical simulation with finite element method in further investigations. The numerical results show that the natural frequency increases as the graded coefficient increases in the chosen domain. It can be observed that the vibration characteristics are influenced by the temperature changes obviously. Moreover, the natural frequency is larger for thicker FGM circular plates, while it is lower for thinner ones. Furthermore, the first four vibration mode shapes with different thickness of FGM circular plate are illustrated.

Paper Details

Date Published: 2 April 2012
PDF: 8 pages
Proc. SPIE 8409, Third International Conference on Smart Materials and Nanotechnology in Engineering, 840902 (2 April 2012); doi: 10.1117/12.920925
Show Author Affiliations
Tao Fan, Harbin Engineering Univ. (China)
Guangping Zou, Harbin Engineering Univ. (China)

Published in SPIE Proceedings Vol. 8409:
Third International Conference on Smart Materials and Nanotechnology in Engineering
Jinsong Leng; Yoseph Bar-Cohen; In Lee; Jian Lu, Editor(s)

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