Journal ArticleDOI
Linear and Nonlinear Analysis of a Smart Beam Using General Electrothermoelastic Formulation
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TLDR
In this article, coupled electrothermoelastic equations applicable to the analysis of smart structures have been derived from first principles, and applying a layer-by-layer finite element model, the induced potential and mechanical deformations in the piezo and non-piezo core material have been obtained for various cases of actuation and sensing of a smart beam under external mechanical load and actuation potential.Abstract:
Coupled electrothermoelastic equations applicable to the analysis of smart structures have been derived from first principles. Using the equations and applying a layer-by-layer finite element model, the induced potential and mechanical deformations in the piezo and nonpiezo core material have been obtained for various cases of actuation and sensing of a smart beam under external mechanical load and actuation potential. The present study clearly brings out the essential difference between sensing and actuation. It is also brought out that the interaction between polarization and electric field in the piezo continuum leads to nonlinear distributed body force and nonsymmetric stress tensor. These nonlinear effects are found to have significant influence on the deformation of a smart beam under actuation. Shape control studies of multipatch smart beams have also been investigated.read more
Citations
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Journal ArticleDOI
Cross-sectional analysis of nonhomogeneous anisotropic active slender structures
TL;DR: In this article, a general formulation for the reduction of the three-dimensional problem of electrothermoelasticity in slender solids to an arbitrarily defined reference line is presented, which is based on a variationalasymptotic formulation, using the slenderness ratio as small parameter.
Journal ArticleDOI
Electro-thermo-elastic formulation for the analysis of smart structures
TL;DR: In this article, coupled electro-thermo-elastic equations applicable for the analysis of smart structures with piezoelectric patches/layers have been derived from the fundamental principles of mass, linear momentum, angular momentum, energy and charge conservation.
Journal ArticleDOI
Variational Principles for Piezoelectric, Thermopiezoelectric, and Hygrothermopiezoelectric Continua Revisited
Gülay Altay,M. Cengiz Dökmeci +1 more
TL;DR: In this paper, Cimento revisited some variational principles for the fundamental equations of a regular region of piezoelectric, thermopiez-olectric and hygrothermopiezoellectric materials in the elastic range.
Journal ArticleDOI
Thermopiezoelastic nonlinear dynamics of active piezolaminated plates
TL;DR: In this paper, a multi-field layer-wise finite element is proposed to assure high accuracy and nonlinearity of displacement, electric and thermal fields for active piezolaminated plates considering thermopiezoelastic behaviors.
Journal ArticleDOI
Finite element modeling and analysis of piezo-integrated composite structures under large applied electric fields
TL;DR: In this paper, the second-order nonlinear constitutive equations are used in the variational principle approach to develop a nonlinear finite element (FE) model for piezoelectric laminated composite plates and shells.
References
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Journal ArticleDOI
Control of Cantilever Vibration via Structural Tailoring and Adaptive Materials
TL;DR: In this article, a dual approach integrating structural tailoring and adaptive materials technology is presented to control the dynamic response of cantilever beams subjected to external excitations, where the adaptive capability is achieved through the converse piezoelectric factors.
Journal ArticleDOI
A Piezothermoelastic Thin Shell Theory Applied to Active Structures
Horn-Sen Tzou,R. V. Howard +1 more
TL;DR: In this paper, a generic piezothermoelastic shell theory for thin piezoelectric shells is derived using the linear piezolectric theory and Kirchhoff-love assumptions, which can be used in sensor and actuator applications.
Journal ArticleDOI
Exact piezothermoelastic solution of simply-supported orthotropic flat panel in cylindrical bending
TL;DR: In this article, an exact piezothermoelastic solution is presented for infinitely long, simply-supported, orthotropic, piezoelectric, flat panel in cylindrical bending under pressure, thermal and electrostatic excitation.
Journal ArticleDOI
Analysis of beams containing piezoelectric sensors and actuators
TL;DR: In this paper, a one-dimensional theory for modeling the analysis of beams containing piezoelectric sensors and actuators is developed for the vibration analysis of the beams and the equations of motion and associated boundary conditions are derived.
Journal ArticleDOI
A Macroscopic Phenomenological Formulation for Coupled Electromechanical Effects in Piezoelectricity
Xinjie Zhang,Craig A. Rogers +1 more
TL;DR: In this article, a phenomenological formulation of polarization reversal of piezoelectric materials is proposed based on the dynamics of domain switching, which provides a method to describe the hysteresis in piezoclectricity as well as in electromagnetics.