0
TECHNICAL PAPERS

Small-Amplitude Free-Vibration Analysis of Piezoelectric Composite Plates Subject to Large Deflections and Initial Stresses

[+] Author and Article Information
Dimitris Varelis

Department of Mechanical Engineering and Aeronautics, University of Patras, Patras, GR26500, Greece

Dimitris A. Saravanos1

Department of Mechanical Engineering and Aeronautics, University of Patras, Patras, GR26500, Greecesaravanos@mech.upatras.gr

1

To whom correspondence should be addressed.

J. Vib. Acoust 128(1), 41-49 (Mar 16, 2005) (9 pages) doi:10.1115/1.2128637 History: Received February 12, 2004; Revised March 16, 2005

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.

FIGURES IN THIS ARTICLE
<>
Copyright © 2006 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Schematic configuration of experimental setup

Grahic Jump Location
Figure 2

Transverse center displacement of the clamped-clamped smart aluminum beam in pre- and postbuckling response, under in-plane compressive displacement on the x axis.

Grahic Jump Location
Figure 5

Third bending natural frequency of the clamped-clamped smart aluminum beam: (a) under in-plane compressive displacement and (b) under in-plane tensile displacement

Grahic Jump Location
Figure 6

Side view of continuous actuators attached on upper and lower surface of composite beams or plates: (a) electric fields of opposite polarity on the actuators inducing bending and (b) unipolar electric fields on the actuators inducing in-plane extension.

Grahic Jump Location
Figure 7

Prediction of the first two bending natural frequencies of a [PZT5/PZT5] bimorph beam, hinged at both edges and subject to bending electric potential

Grahic Jump Location
Figure 8

Prediction of the first bending natural frequency on the pre- and postbuckling region of a clamped-clamped [p∕Al∕p] piezoelectric beam, under applied in-plane electric potential

Grahic Jump Location
Figure 9

First natural frequency of a fully hinged piezoelectric [p∕0∕45∕−45∕90]s composite plate under opposite electric fields applied on the actuators

Grahic Jump Location
Figure 12

Transverse center displacement of a fully clamped [p∕03∕903]s piezoelectric sensory composite plate in pre- and postbuckling region, under biaxial in-plane compressive displacement at both axes

Grahic Jump Location
Figure 13

Prediction of the first bending natural frequency on the pre- and postbuckling region of a hinged-hinged [p∕Al∕p] active beam, under combination of an applied axial displacement and various electric potential values applied on the actuators

Grahic Jump Location
Figure 3

First bending natural frequency of the clamped-clamped smart aluminum beam: (a) under in-plane compressive displacement and (b) under in-plane tensile displacement

Grahic Jump Location
Figure 4

Second bending natural frequency of the clamped-clamped smart aluminum beam: (a) under in-plane compressive displacement and (b) under in-plane tensile displacement

Grahic Jump Location
Figure 10

First natural frequency of a fully hinged piezoelectric [p∕0∕45∕−45∕90]s composite plate under unipolar electric fields on the actuators

Grahic Jump Location
Figure 11

First natural frequency of a fully clamped [p∕03∕903]s piezoelectric sensory composite plate in pre- and postbuckling regions, under biaxial in-plane compressive displacement at both axes

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In