Piezothermoelastic Behavior of a Laminated Plate

Tauchert, Theodore R.

doi:10.1080/01495739208946118

Cited by 227 publications

(82 citation statements)

References 3 publications

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“…Notable works on analytical and numerical analyses of smart structures employing distributed piezoelectric sensors and actuators include Allik and Hughes [4], Crawley and de Luis [5], Lammering [6], Hwang et al [7], Heyliger et al [8], Taucher [9], Smittakorn et al [10] and Kapuria [11]. In these studies, the thermal e ects on the piezoelectric materials were not taken into consideration.…”

Section: Introductionmentioning

confidence: 96%

Active control of FGM plates subjected to a temperature gradient: Modelling via finite element method based on FSDT

Liew¹,

He²,

Ng³

et al. 2001

Numerical Meth Engineering

134

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SUMMARYAn e cient ÿnite element formulation based on a ÿrst-order shear deformation theory (FSDT) is presented for the active control of functionally gradient material (FGM) plates with integrated piezoelectric sensor=actuator layers subjected to a thermal gradient; this is accomplished using both static and dynamic piezothermoelastic analyses. The formulation based on FSDT can be applied to a range of relatively thin-to-moderately thick plates. A constant displacement-cum-velocity feedback control algorithm coupling the direct and inverse piezoelectric e ects is applied to provide active feedback control of the integrated FGM plate in a self-monitoring and self-controlling system. Numerical results for the control of bending and torsional de ections and=or vibrations are presented for a FGM plate comprising zirconia and aluminium. The e ects of constituent volume fraction and the in uence of feedback control gain on the static and dynamic responses of the FGM plates are examined in detail.

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Section: Introductionmentioning

confidence: 96%

Active control of FGM plates subjected to a temperature gradient: Modelling via finite element method based on FSDT

Liew¹,

He²,

Ng³

et al. 2001

Numerical Meth Engineering

134

View full text Add to dashboard Cite

show abstract

“…Smart composite structures with integrated piezoelectric sensors and actuators have been investigated extensively in past decades [8][9][10][11][12][13][14][15][16][17]. However, only a few works deal with the control of FGM structures by piezoelectric materials.…”

Section: Introductionmentioning

confidence: 99%

Non‐linear analysis of the thermo‐electro‐mechanical behaviour of shear deformable FGM plates with piezoelectric actuators

Yang

Kitipornchai

Liew

2004

Numerical Meth Engineering

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SUMMARYThis paper investigates the non-linear bending behaviour of functionally graded plates that are bonded with piezoelectric actuator layers and subjected to transverse loads and a temperature gradient based on Reddy's higher-order shear deformation plate theory. The von Karman-type geometric non-linearity, piezoelectric and thermal effects are included in mathematical formulations. The temperature change is due to a steady-state heat conduction through the plate thickness. The material properties are assumed to be graded in the thickness direction according to a power-law distribution in terms of the volume fractions of the constituents. The plate is clamped at two opposite edges, while the remaining edges can be free, simply supported or clamped. Differential quadrature approximation in the X-axis is employed to convert the partial differential governing equations and the associated boundary conditions into a set of ordinary differential equations. By choosing the appropriate functions as the displacement and stress functions on each nodal line and then applying the Galerkin procedure, a system of nonlinear algebraic equations is obtained, from which the non-linear bending response of the plate is determined through a Picard iteration scheme. Numerical results for zirconia/aluminium rectangular plates are given in dimensionless graphical form. The effects of the applied actuator voltage, the volume fraction exponent, the temperature gradient, as well as the characteristics of the boundary conditions are also studied in detail.

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“…During deformation control, piezoelastic laminates are often subjected to mechanical loads of the environment and are subjected to electrical loads compensating the effects of the mechanical loads. Static deformation control of some piezoelastic laminates was studied by many authors, [2][3][4][5][6]. Dynamic deformation control of piezoelastic laminates was studied in [7], where steady vibration of a piezothermoelastic laminate caused by a harmonic excitation was analyzed taking into account the effect of transverse shear.…”

mentioning

confidence: 99%

Control of mechanical deformation of a laminate by piezoelectric actuator taking into account the transverse shear

Noda

2004

Archive of Applied Mechanics

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The control of dynamic deformation of a laminate plate is conducted by applying electrical load to a piezoelectric actuator integrated into the laminate. The dynamic behavior of the laminate is analyzed in the paper taking into account the effect of transverse shear. The analytical model of the laminate is composed of fiber-reinforced laminae and piezoelectric layers constituting a symmetric cross-ply laminate rectangular plate with simply-supported egdes. It is subjected to mechanical and electrical loads acting on the piezoelectric actuator in order to compensate the effect of the mechanical loads. The behavior of the laminate is analyzed based on the first-order shear deformation theory. Closed-form solutions are obtained for the following quantities: (1) natural frequencies of the laminate plate, (2) weight functions for the deflections and rotations and (3) transient deflections due to loads varying arbitrarily with time. Illustrative examples are shown for the control of deflections caused by the mechanical loads by means of electrical voltage applied to the piezoelectric actuators. IntroductionRecently, control of deformations at the submicron range has become necessary in engineering, medicine and other fields. Therefore, smart structures consisting of elements which serve as sensors and/or actuators have attracted much attention for this purpose. Among various materials, piezoelectric elements used as sensors and/or actuators in smart structures, enable superior coupling between the elastic and electric fields. Piezoelectric elements are often attached to structural laminates such as graphite/epoxy, and compose piezoelastic laminates. They are used also as devices in adaptive structures for the deformation-control, including shape control, vibration control etc., [1]. During deformation control, piezoelastic laminates are often subjected to mechanical loads of the environment and are subjected to electrical loads compensating the effects of the mechanical loads. Static deformation control of some piezoelastic laminates was studied by many authors, [2][3][4][5][6]. Dynamic deformation control of piezoelastic laminates was studied in [7], where steady vibration of a piezothermoelastic laminate caused by a harmonic excitation was analyzed taking into account the effect of transverse shear.During this operation, piezoelastic laminates undergo undesired mechanical load changes of the dynamic. In order to compensate the effect of the change of load, the electrical load has to change accordingly. Therefore, transient analysis is required in order to treat dynamic deformation control properly. Transient response of piezothermoelastic laminate due to loads varying dynamically with time was obtained in [8] based on the classical laminate theory (CLT). However, the effects of transverse shear were not taken into account. These effects should be taken into account in the proper analysis of the behavior of piezoelastic laminates as it was pointed out for static analysis in our previous paper, [6].Therefore, we study ...

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Piezothermoelastic Behavior of a Laminated Plate

Cited by 227 publications

References 3 publications

Active control of FGM plates subjected to a temperature gradient: Modelling via finite element method based on FSDT

Active control of FGM plates subjected to a temperature gradient: Modelling via finite element method based on FSDT

Non‐linear analysis of the thermo‐electro‐mechanical behaviour of shear deformable FGM plates with piezoelectric actuators

Control of mechanical deformation of a laminate by piezoelectric actuator taking into account the transverse shear

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