Nonlinear Free Vibration for Cross-Ply Laminated Damaged Plates with Piezoelectric Actuators
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.
M.H. Aliabadi, Qingfen Li, Li Li and F.-G. Buchholz
Y. F. Zheng et al., "Nonlinear Free Vibration for Cross-Ply Laminated Damaged Plates with Piezoelectric Actuators ", Key Engineering Materials, Vols. 324-325, pp. 479-482, 2006