Vibrations of piezolaminated elastic beams

Haim Abramovich; Hans-Reinhard Meyer-Piening

doi:10.1117/12.316328

24 July 1998 Vibrations of piezolaminated elastic beams

Haim Abramovich, Hans-Reinhard Meyer-Piening

Proceedings Volume 3323, Smart Structures and Materials 1998: Mathematics and Control in Smart Structures; (1998) https://doi.org/10.1117/12.316328
Event: 5th Annual International Symposium on Smart Structures and Materials, 1998, San Diego, CA, United States

Abstract

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.

Citation Download Citation

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); https://doi.org/10.1117/12.316328

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