Variational principle and vibration properties of functionally graded circular plate with temperature changes

Tao Fan; Guangping Zou

doi:10.1117/12.920925

2 April 2012 Variational principle and vibration properties of functionally graded circular plate with temperature changes

Tao Fan, Guangping Zou

Author Affiliations +

Proceedings Volume 8409, Third International Conference on Smart Materials and Nanotechnology in Engineering; 840902 (2012) https://doi.org/10.1117/12.920925
Event: Third International Conference on Smart Materials and Nanotechnology in Engineering, 2011, Shenzhen, China

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.

Citation Download Citation

Tao Fan and Guangping Zou "Variational principle and vibration properties of functionally graded circular plate with temperature changes", Proc. SPIE 8409, Third International Conference on Smart Materials and Nanotechnology in Engineering, 840902 (2 April 2012); https://doi.org/10.1117/12.920925

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