Exact solution for the vibration and active damping of composite plates with piezoelectric shear actuators

Exact solution for the vibration and active damping of composite plates with piezoelectric shear... An exact three-dimensional solution is obtained for the cylindrical bending vibration of simply supported laminated composite plates with an embedded piezoelectric shear actuator. The piezoelectric actuator, which is poled in the longitudinal direction, will induce a transverse shear strain in the hybrid laminate when it is subjected to an electric field in the thickness direction. Suitable displacement and electric potential functions that identically satisfy the boundary conditions at the simply supported edges are used to reduce the equations that govern the steady-state vibrations of the hybrid laminate to a set of coupled ordinary differential equations, which are solved by employing the power series method. Natural frequencies, mode shapes, displacements, electric potential and stresses are presented for three-layer hybrid laminates consisting of a piezoelectric shear actuator sandwiched between fiber-reinforced composite layers. Active vibration damping is implemented using either a position feedback controller or velocity feedback controller. Frequency response curves for different controller frequencies, controller damping ratio and feedback gain demonstrate that the embedded shear actuator can be used for active damping of the fundamental flexural mode. In addition, it is shown that vibration suppression of thickness modes is also feasible using a shear actuator. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Sound and Vibration Elsevier

Exact solution for the vibration and active damping of composite plates with piezoelectric shear actuators

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Publisher
Elsevier
Copyright
Copyright © 2004 Elsevier Ltd
ISSN
0022-460X
eISSN
1095-8568
D.O.I.
10.1016/j.jsv.2004.03.042
Publisher site
See Article on Publisher Site

Abstract

An exact three-dimensional solution is obtained for the cylindrical bending vibration of simply supported laminated composite plates with an embedded piezoelectric shear actuator. The piezoelectric actuator, which is poled in the longitudinal direction, will induce a transverse shear strain in the hybrid laminate when it is subjected to an electric field in the thickness direction. Suitable displacement and electric potential functions that identically satisfy the boundary conditions at the simply supported edges are used to reduce the equations that govern the steady-state vibrations of the hybrid laminate to a set of coupled ordinary differential equations, which are solved by employing the power series method. Natural frequencies, mode shapes, displacements, electric potential and stresses are presented for three-layer hybrid laminates consisting of a piezoelectric shear actuator sandwiched between fiber-reinforced composite layers. Active vibration damping is implemented using either a position feedback controller or velocity feedback controller. Frequency response curves for different controller frequencies, controller damping ratio and feedback gain demonstrate that the embedded shear actuator can be used for active damping of the fundamental flexural mode. In addition, it is shown that vibration suppression of thickness modes is also feasible using a shear actuator.

Journal

Journal of Sound and VibrationElsevier

Published: Apr 22, 2005

References

  • A refined hybrid plate theory for composite laminates with piezoelectric laminae
    Mitchell, J.A.; Reddy, J.N.
  • Exact electroelastic analysis of piezoelectric laminae via state space approach
    Lee, J.S.; Jiang, L.Z.
  • Analysis of piezoelectric bimorphs and plates with segmented actuators
    Vel, S.S.; Batra, R.C.
  • Free-vibration of piezoelectric laminates in cylindrical bending
    Heyliger, P.; Brooks, S.
  • Use of thickness-shear mode in adaptive sandwich structures
    Sun, C.T.; Zhang, X.D.
  • A two-dimensional closed-form solution for the free-vibrations analysis of piezoelectric sandwich plates
    Benjeddou, A.; Deü, J.-F.
  • Physical Properties of Crystals
    Nye, J.F.
  • Assessment of computational models for thermoelectroelastic multilayered plates
    Tang, Y.Y.; Noor, A.K.; Xu, K.

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