Nonlinear Free Vibration for Cross-Ply Laminated Damaged Plates with Piezoelectric Actuators

Abstract:

On the basis of the anisotropic damage theory and piezoelectric theory, the nonlinear free vibration governing equations for cross-ply laminated damaged plates with piezoelectric actuators are established. The Galerkin procedure furnishes an infinite system of equations for time functions which are solved by the method of harmonic balance. In the numerical results, the influences of damage parameters and piezoelectric effect on the nonlinear amplitude-frequency response curves of the laminated plates are discussed, which results reveal the inherent features about the coupled mechanics and electricity.

• Periodical: Key Engineering Materials (Volumes 324-325)
• Pages: 479-482
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.324-325.479
• Online since: November 2006
• Authors: Yu Fang Zheng, Yi Ming Fu, Kai Qi
• Keywords: Amplitude-Frequency, Anisotropic Damage, Laminated Plates, Piezoelectric Effect

References

[1] H.S. Tzou and Y.H. Zhou: Journal of Sound and Vibration Vol. 188 (1995), p.189.

[2] R.C. Batra and X.Q. Liang: Int. J. Solids Structures Vol. 33 (1996), p.1597.

[3] J.X. Gao and Y.P. Shen: Journal of Sound and Vibration Vol. 264 (2003), p.911.

[4] C.L. Chow and J. Wang: International Journal of Fracture Vol. 33 (1987), p.3.

[5] C.Y. Chia: Nonlinear analysis of plates (McGraw-Hill, New York 1980).

[6] D. Varelis and D.A. Saravanos: AIAA Journal Vol. 42 (2004).