Journal ArticleDOI
Cylindrical Bending of Laminated Plates with Distributed and Segmented Piezoelectric Actuators/Sensors
Senthil S. Vel,Romesh C. Batra +1 more
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TLDR
In this paper, the generalized plane quasistatic deformations of linear piezoelectric laminated plates are analyzed by the Eshelby-Stroh formalism.Abstract:
The generalized plane quasistatic deformations of linear piezoelectric laminated plates are analyzed by the Eshelby‐Stroh formalism. The laminate consists of homogeneous elastic or piezoelectric laminae of arbitrary thickness and width. The three-dimensional differential equations of equilibrium for a piezoelectric body are exactly satiseed at every point in the body. The analytical solution is in terms of an ine nite series; the continuity conditions at the interfaces between adjoining laminae and boundary conditions at the edges are satise ed in the sense of Fourier series. The formulation admits different boundary conditions at the edges and is applicable to thick and thin laminated plates. Results are presented for laminated elastic plates with a distributed piezoelectric actuator on the upper surface and a sensor on the lower surface and subjected to different sets of boundary conditions at the edges. Results are also provided for a piezoelectric bimorph and an elastic plate with segmented piezoelectric actuators bonded to its upper and lower surfaces.read more
Citations
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Journal ArticleDOI
Higher-Order Piezoelectric Plate Theory Derived from a Three-Dimensional Variational Principle
Romesh C. Batra,Stefano Vidoli +1 more
TL;DR: In this article, a three-dimensional mixed variational principle is used to derive a Kth-order two-dimensional line-artheory for an anisotropichomogeneous piezoelectric (PZT) plate.
Journal ArticleDOI
Static bending and free vibration of a functionally graded piezoelectric microplate based on the modified couple-stress theory
Y.S. Li,Ernian Pan +1 more
TL;DR: In this article, a size-dependent functionally graded piezoelectric microplate model is developed based on the modified couple-stress and sinusoidal plate theories, and the effects of power-law index of material gradient, material length-scale parameter, plate aspect ratio, and mechanical and electric loadings on the displacement (deflection), electric potential, stress, electric displacement and natural frequency are demonstrated.
Journal ArticleDOI
Bending and free vibration of functionally graded piezoelectric beam based on modified strain gradient theory
TL;DR: In this article, a size-dependent functionally graded piezoelectric beam model was developed using a variational formulation based on the modified strain gradient theory and Timoshenko beam theory.
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
Efficient modeling of smart piezoelectric composite laminates: a review
TL;DR: Current research issues in the development of efficient analysis models and their efficient numerical implementation for smart piezoelectric laminated structures are discussed and future challenge lies in developing efficient theories capable of predicting the interlaminar transverse shear stresses in hybrid laminates directly from the constitutive equations.
References
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Book
Finite Element Analysis
B. A. Szabó,Ivo Babuška +1 more
TL;DR: In this article, the authors present a general solution based on the principle of virtual work for two-dimensional linear elasticity problems and their convergence rates in one-dimensional dimensions. But they do not consider the case of three-dimensional LEL problems.
Journal ArticleDOI
Use of piezoelectric actuators as elements of intelligent structures
Edward F. Crawley,Javier de Luis +1 more
TL;DR: In this paper, a scaling analysis is performed to demonstrate that the effectiveness of actuators is independent of the size of the structure and evaluate various piezoelectric materials based on their effectiveness in transmitting strain to the substructure.
Journal ArticleDOI
Analysis of Bi-Metal Thermostats
TL;DR: In this article, a general theory of bending of a bi-metal strip submitted to a uniform heating is presented, which is applied in analysis of the operation of a Bi-metal Strip thermostat.
Journal ArticleDOI
Finite-Element Analysis
R. H. Gallagher,D. S. Griffin +1 more
TL;DR: The finite element method (FEM) is a numerical technique used to perform finite element analysis of any given physical phenomenon as discussed by the authors, such as structural or fluid behavior, thermal transport, wave propagation, and the growth of biological cells.
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