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Journal ArticleDOI

Layerwise mechanics and finite element model for laminated piezoelectric shells

Paul R. Heyliger, +2 more
- 01 Nov 1996 - 
- Vol. 34, Iss: 11, pp 2353-2360
TLDR
In this article, a discrete-layer shell theory and associated finite element model for general laminated piezoelectric composite shells is constructed for general piezolectric composites.
Abstract
A discrete-layer shell theory and associated finite element model is constructed for general laminated piezoelectric composite shells The discrete-layer shell theory is based on linear piezoelectricity and accounts for general through-thickness variations of displacement and electrostatic potential by implementing one-dimensional piece-wise continuous Lagrange interpolation approximations over a specified number of sublayers The formulation applies to shells of general shape and lamination Initially, the static and dynamic behavior of a simply supported flat plate is studied to compare with available exact solutions, with excellent agreement being obtained Static loading and free vibration of a cylindrical ring are then considered to evaluate the element and to study the fundamental behavior of active/sensory piezoelectric shells

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Citations
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Journal ArticleDOI

Powering MEMS portable devices—a review of non-regenerative and regenerative power supply systems with special emphasis on piezoelectric energy harvesting systems

TL;DR: In this article, the authors provide an overview of strategies for powering MEMS via non-regenerative and regenerative power supplies, along with recent advancements, and discuss future trends and applications for piezoelectric energy harvesting technology.
Journal ArticleDOI

Active control of FGM plates with integrated piezoelectric sensors and actuators

TL;DR: In this paper, a finite element formulation based on the classical laminated plate theory is presented for the shape and vibration control of the functionally graded material (FGM) plates with integrated piezoelectric sensors and actuators.
Journal ArticleDOI

On laminated composite plates with integrated sensors and actuators

TL;DR: In this article, a simple negative velocity feed back control algorithm coupling the direct and converse piezoelectric effects is used to actively control the dynamic response of an integrated structure through closed loop control.
Book

Mechatronics: Dynamics of Electromechanical and Piezoelectric Systems

TL;DR: In this paper, the Lagrangian dynamics of mechanical systems are studied and Lagrange's equations with constraints with respect to kinematic constraints for continuous systems are presented. But the authors focus on continuous systems and do not consider the case of discrete transducers.
References
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Journal ArticleDOI

Variational Method for Electroelastic Vibration Analysis

TL;DR: In this paper, a stationary expression is derived from the equations of motion for short-circuit vibrations of fully-electroded piezoelectric ceramic discs with comparable diameter and thickness dimensions.
Journal ArticleDOI

Structure and piezoelectricity of poly(vinylidene fluoride)

TL;DR: In this paper, a theoretical equation for calculating piezoelectric constants (dij) of polymer crystals has been derived and applied to poly(vinylidene fluoride) form 1, consistent with the experimental result that the x-ray (002) spot was not shifted nearly as much by the application of the electrostatic field as in the case of d 33.
Journal ArticleDOI

The application of a finite shell element for composites containing piezo-electric polymers in vibration control

TL;DR: In this article, a finite element analysis of shell structures with thin piezo-electric layers bonded to the surfaces is presented and a finite shell element is presented, allowing for the computation of these advanced composite structures.
Journal ArticleDOI

Resonant Properties of Piezoelectric Ceramic Rectangular Parallelepipeds

TL;DR: In this paper, the resonant properties of free, piezoelectric ceramic rectangular parallelepipeds, such as cubes, are investigated by means of the calculus of variations, the electroelastic differential equations are transformed into an approximate matrix characteristic value problem.
Journal ArticleDOI

Coupled discrete-layer finite elements for laminated piezoelectric platess

TL;DR: In this article, finite element models based on discrete-layer theories are presented for the coupled-field analysis of laminated plates containing piezoelectric layers, which allows for piecewise approximations of the variables through the thickness of each layer.