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Flexural Vibrations of Piezolaminated Slender Beams: A Balanced Model

Department of Aerospace Engineering, Technion, I.I.T., 32000 Haifa, Israel

A. Livshits

The Israel Electric Corporation Ltd., 31000 Haifa, Israel

A balanced model describing the behavior of piezolaminated composite beams was developed based on a first order shear deformation theory. The model takes into account the additional induced stiffness due to the direct piezoelectric effect for the case of "closed electrodes", for symmetric and non-symmetric lay-ups. To comply with the condition of "closed electrodes" two cases were considered, E_x = 0 or D_x = 0. The three-coupled equations of motion were solved to yield eigenfrequencies and eigenmodes for various boundary conditions, materials and lay-up configurations. For the cases studied, the influence of the induced stiffness due to the direct piezoelectric effect on the natural frequencies was found to increase the natural frequencies by a few percent.

Key Words: Laminated beam • piezolaminated beam • direct piezoelectric effect • vibrations

Journal of Vibration and Control, Vol. 8, No. 8, 1105-1121 (2002)
DOI: 10.1177/107754602030943


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