Piezothermoelastic composite plate analysis using first-order shear deformation theory

Jonnalagadda, Krishna; Blandford, George E.; Tauchert, Theodore R.

doi:10.1016/0045-7949(94)90038-8

Cited by 114 publications

(39 citation statements)

References 8 publications

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“…Rao and Sunar [15] investigated the piezothermoelectric problem of intelligent structures with distributed piezoelectric sensors and actuators and concluded that the inclusion of thermal e ects in a distributed control system may help improve the performance characteristics of the system and provide better insight into the piezothermoelectric phenomenon. Other recent works on piezoelectric media in laminated composite set-ups and thermal environments include Jonnalagadda et al [16], Shen and Weng [17], Chandrashekhara and Tenneti [18] and Lee and Saravanos [19]. In all the above-mentioned works, the stress e ects on the piezoelectric coe cients were not taken into consideration.…”

Section: Introductionmentioning

confidence: 98%

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

132

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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: 98%

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

132

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“…where e ij and c ij denote strains, E i denotes electric fields, " Q ij and " e ij denote elastic stiffness coefficients, and piezoelectric coefficients both of which are plane-stress reduced and transformed, [9], and are obtained from the plane-stress reduced coefficients Q ij and e ij as " Q 11 ¼ Q 11 cos 4 u þ 2ðQ 12 þ 2Q 66 Þ cos 2 u sin 2 u þ Q 22 sin 4 u; " Q 12 ¼ ðQ 11 þ Q 22 À 4Q 66 Þ cos 2 u sin 2 u þ Q 12 ðcos 4 u þ sin 4 uÞ; " Q 22 ¼ Q 11 sin 4 u þ 2ðQ 12 þ 2Q 66 Þ cos 2 u sin 2 u þ Q 22 cos 4 u; " Q 66 ¼ ðQ 11 þ Q 22 À 2Q 12 Þ cos 2 u sin 2 u þ Q 66 ðcos 2 u À sin 2 uÞ 2 ;…”

Section: Analytical Proceduresmentioning

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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“…Hence researchers have focused their attention on two dimensional (2D) analytical models viz. Classical plate theory (CPT) (Tiersten [8], Dimitridis et al [9], Crawley and Lazarus [10], Wang and Rogers [11], Lee and Moon [12] and Lee [13]), First order shear deformation theory (FOST) (Chandrashekhara and Agarwal [14], Jonnalagadda et al [15], Detwiler et al [16], Huang and Wu [17], Bisegna et al [18], Vel and Batra [19], Wu et al [20]) and Higher order shear deformation theories (HOSTs) (Ray et al [21], Kim et al [22]). Carrera [23] has developed an improved ReissnerMindlin-type model for the analysis of multilayered smart plates.…”

Section: Introductionmentioning

confidence: 98%

2D semi-analytical solutions for single layer piezoelectric laminate subjected to electro-mechanical loading

Pendhari¹,

Sawarkar²,

Desai

2015

Composite Structures

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Piezothermoelastic composite plate analysis using first-order shear deformation theory

Cited by 114 publications

References 8 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

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

2D semi-analytical solutions for single layer piezoelectric laminate subjected to electro-mechanical loading

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