A coupled theoretical and computational framework is presented for analyzing the small amplitude-free vibrational response of composite laminated plates with piezoelectric actuators and sensors, subject to nonlinear effects due to large rotations and initial stresses. Coupled laminate mechanics incorporating nonlinear governing equations with mixed-field shear-layerwise assumptions for the piezoelectric laminate are implemented. A finite element method is formulated to yield the linearized discrete dynamic equations of a piezocomposite plate on top of its nonlinear electrostatic response, and a novel eight-node coupled nonlinear plate finite element forms the basis of numerical analyses. The natural frequencies in a beam with a piezoceramic actuator and sensor subject to in-plane mechanical loading, high enough to induce buckling and postbuckling are also experimentally characterized, and comparisons to numerical results show excellent correlation. Additional numerical evaluations quantify the active shifting of natural frequencies in adaptive beams and plates subject to high out-of-plane and in-plane electromechanical loading, and the variation of modal frequencies during buckling and postbuckling response. Finally, the possibility to detect and actively manage buckling in adaptive piezocomposite plates is illustrated.
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February 2006
Technical Papers
Small-Amplitude Free-Vibration Analysis of Piezoelectric Composite Plates Subject to Large Deflections and Initial Stresses
Dimitris Varelis,
Dimitris Varelis
Research Assistant
Department of Mechanical Engineering and Aeronautics,
University of Patras
, Patras, GR26500, Greece
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Dimitris A. Saravanos
Dimitris A. Saravanos
Assoc. Professor
Department of Mechanical Engineering and Aeronautics,
e-mail: saravanos@mech.upatras.gr
University of Patras
, Patras, GR26500, Greece
Search for other works by this author on:
Dimitris Varelis
Research Assistant
Department of Mechanical Engineering and Aeronautics,
University of Patras
, Patras, GR26500, Greece
Dimitris A. Saravanos
Assoc. Professor
Department of Mechanical Engineering and Aeronautics,
University of Patras
, Patras, GR26500, Greecee-mail: saravanos@mech.upatras.gr
J. Vib. Acoust. Feb 2006, 128(1): 41-49 (9 pages)
Published Online: March 16, 2005
Article history
Received:
February 12, 2004
Revised:
March 16, 2005
Citation
Varelis, D., and Saravanos, D. A. (March 16, 2005). "Small-Amplitude Free-Vibration Analysis of Piezoelectric Composite Plates Subject to Large Deflections and Initial Stresses." ASME. J. Vib. Acoust. February 2006; 128(1): 41–49. https://doi.org/10.1115/1.2128637
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