Journal ArticleDOI
The vibration of a simply supported rectangular elastic plate due to piezoelectric actuators
TLDR
An analysis of a simply supported rectangular elastic plate forced into bending vibrations by the application of time harmonic voltages to piezoelectric actuators attached to its bottom and top surfaces is performed by using the equations of linear elasticity as mentioned in this paper.About:
This article is published in International Journal of Solids and Structures.The article was published on 1996-05-01. It has received 86 citations till now. The article focuses on the topics: Linear elasticity & Piezoelectricity.read more
Citations
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Journal ArticleDOI
A BEM analysis of fracture mechanics in 2D anisotropic piezoelectric solids
TL;DR: In this paper, the authors presented a single-domain boundary element method (BEM) analysis of fracture mechanics in 2D anisotropic piezoelectric solids, where the extended displacement (elastic displacement and electrical potential) and extended traction integral equations are collocated on the outside boundary (no-crack boundary) of the problem and on one side of the crack surface.
Journal ArticleDOI
Three-Dimensional Analytical Solution for Hybrid Multilayered Piezoelectric Plates
Senthil S. Vel,Romesh C. Batra +1 more
TL;DR: In this paper, the static three-dimensional deformations of multilayered piezoelectric rectangular plates are obtained by using the Eshelby-Stroh formalism.
Journal ArticleDOI
A review on the three-dimensional analytical approaches of multilayered and functionally graded piezoelectric plates and shells
TL;DR: Wu et al. as discussed by the authors presented an overview of various 3D analytical approaches for the analysis of multilayered and functionally graded (FG) piezoelectric plates and shells.
Journal ArticleDOI
The vibration of a rectangular laminated elastic plate with embedded piezoelectric sensors and actuators
Romesh C. Batra,X.Q. Liang +1 more
TL;DR: In this paper, the steady-state vibrations of a simply-supported rectangular linear elastic laminated plate with embedded PZT layers are analyzed using the three-dimensional linear theory of elasticity.
Journal ArticleDOI
Analytical solution for the cylindrical bending vibration of piezoelectric composite plates
TL;DR: In this paper, an analytical solution for the cylindrical bending vibrations of linear piezoelectric laminated plates is obtained by extending the Stroh formalism to the generalized plane strain vibrations of piezolectric materials.
References
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Book
Partial differential equations of applied mathematics
Erich Zauderer,Stephen F. Becker +1 more
TL;DR: In this article, the authors present a classification of Equations and Characteristics, including random walks and Partial Differential Equations (PDE), and asymptotic methods for boundary value problems in bounded regions.
Journal ArticleDOI
An exact analysis for vibration of simply-supported homogeneous and laminated thick rectangular plates
TL;DR: In this paper, a 3D linear, small deformation theory of elasticity solution by the direct method is developed for the free vibration of simply-supported, homogeneous, isotropic, thick rectangular plates.
Journal ArticleDOI
A refined hybrid plate theory for composite laminates with piezoelectric laminae
TL;DR: In this article, a refined theory of laminated composite plates with piezoelectric laminae is developed using an energy principle, which includes coupling between mechanical deformations and the charge equations of electrostatics.
Journal ArticleDOI
Piezothermoelastic behavior of a laminated plate
TL;DR: In this paper, the response of a thin composite plate constructed of piezothermoelastic layers and subject to stationary thermal and electric fields is examined, based on classical lamination theory, extended here to include piezoelectric effects.
Journal ArticleDOI
Electroelastic equations for electroded thin plates subject to large driving voltages
TL;DR: In this paper, rotationally invariant electroelastic equations are reduced to the case of large electric fields and small strain, and it is shown that in this case the charge equation of electrostatics is satisfied trivially to lowest order.
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Use of piezoelectric actuators as elements of intelligent structures
Edward F. Crawley,Javier de Luis +1 more