24 July 1998 Vibrations of piezolaminated elastic beams
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The forced vibrations of a piezo-laminated elastic beam, being driven by time harmonic voltages applied to the actuators on top and bottom surfaces, is analyzed using an exact elasticity solution. The analysis is carried out by using the method of Fourier series and the solution is exact within the assumption of linear elasticity and plane strain deformation. Numerical results are computed for various configurations of laminated beams, including an aluminum beam with actuators affixed on top and bottom surfaces. To show the capability of the elasticity solution, the static shape of laminated beams due to the piezoelectric induced strains are calculated and compared with approximate existing results.
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Haim Abramovich and Hans-Reinhard Meyer-Piening "Vibrations of piezolaminated elastic beams", Proc. SPIE 3323, Smart Structures and Materials 1998: Mathematics and Control in Smart Structures, (24 July 1998); doi: 10.1117/12.316328; https://doi.org/10.1117/12.316328

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