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Nonlinear Vibration of Symmetric Angle-Ply Laminated Piezoelectric Plates with Linearly Varying Thickness

Y.-F. ZHENG, C.-P. CHEN

Abstract


On the basis of the Von Karman theory and piezoelectric theory, and considering the linearly thickness variation in one direction, the dimensionless nonlinear differential equations of motion for the symmetric angle-ply laminated piezoelectric rectangular plates with linearly varying thickness are established. The Galerkin procedure furnishes an infinite system of equations for time functions which are solved by the method of harmonic balance. The problem for nonlinear vibration of symmetric angle-ply laminated piezoelectric rectangular plates with linearly varying thickness is investigated. In the numerical results, the influences of different taper constant, aspect ratio and various ply angles on the nonlinear vibrating frequency response curves of the simply supported symmetric angle-ply laminated piezoelectric rectangular plates are discussed

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