Active control of axisymmetric shells with piezoelectric layers: a mixed laminated theory with a high order displacement field

Correia, I.F. Pinto; Soares, Carlos A. Mota; Herskovits, José

doi:10.1016/s0045-7949(02)00239-0

Cited by 71 publications

(40 citation statements)

References 23 publications

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“…where ϕ (0) , ϕ (1) and ϕ (3) are the electric potential terms. The nonlinear coupled piezothermoelectric constitutive equations can be written as of an orthotropic layer/lamina (say p th layer) having any fiber orientation with respect to structural axes system (s − θ − z) [35] …”

Section: Formulationmentioning

confidence: 99%

“…Patel et al [2] studied the thermoelastic post buckling behavior of cross-ply laminated composite conical shells under uniform temperature distribution in which critical temperature parameter values corresponding to the onset of bifurcation have been compared with linear eigenvalue analysis. A semi-analytical shell finite element model is de-veloped with piezoelectric ring actuators/sensors for active damping vibration control of structures using mixed finite element approach by Correia et al [3]. Kulkarni et al [4] presented a finite element formulation for degenerate conical shell element using HSDT with piezoelectric material assuming a parabolic shear strain variation over the thickness.…”

Section: Introductionmentioning

confidence: 99%

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Thermoelectrically induced nonlinear free vibration analysis of piezo laminated composite conical shell panel with random fiber orientation

Lal

Shegokar

2017

Curved and Layered Structures

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This paper presents the free vibration response of piezo laminated composite geometrically nonlinear conical shell panel subjected to a thermo-electrical loading. The temperature field is assumed to be a uniform distribution over the shell surface and through the shell thickness and the electric field is assumed to be the transverse component E 2 only. The material properties are assumed to be independent of the temperature and the electric field. The basic formulation is based on higher order shear deformation plate theory (HSDT) with von-Karman nonlinearity. A C 0 nonlinear finite element method based on direct iterative approach is outlined and applied to solve nonlinear generalized eigenvalue problem. Parametric studies are carried out to examine the effect of amplitude ratios, stacking sequences, cone angles, piezoelectric layers, applied voltages, circumferential length to thickness ratios, change in temperatures and support boundary conditions on the nonlinear natural frequency of laminated conical shell panels. The present outlined approach has been validated with those available results in the literature.

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Section: Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermoelectrically induced nonlinear free vibration analysis of piezo laminated composite conical shell panel with random fiber orientation

Lal

Shegokar

2017

Curved and Layered Structures

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“…Different research groups have used finite element formulation for analyzing static and dynamic response of pizolaminated shell structures [36][37][38][39][40]. In this section the finite element formulation of composite piezolaminated structure is presented to predict static and dynamic response of shell structure.…”

Section: Finite Element Modeling Of Piezolaminated Structure For Actumentioning

confidence: 99%

A study on epoxy‐based 1–3 piezoelectric composites using finite element method

Kothari

Kumar

et al. 2015

Polymer Composites

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“…They demonstrated that coupling among the mechanical, electrical and thermal fields can be taken into account by means of effective stiffness parameters and an effective thermal loading. Correia et al [16] developed a semi-analytical axisymmetric shell finite element model with embedded or surface bonded piezoelectric actuators or sensors to study active damping vibration control of structures. Donadon et al [17] investigated the effect of the in-plane piezoelectric induced stresses on the natural frequencies of composite plates, which are square and clamped along two opposing edges and free along the other two .…”

Section: Introductionmentioning

confidence: 99%

Periodic and chaotic dynamics of composite laminated piezoelectric rectangular plate with one-to-two internal resonance

Zhang

Yao

2009

Sci. China Ser. E-Technol. Sci.

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The bifurcations and chaotic dynamics of a simply supported symmetric cross-ply composite laminated piezoelectric rectangular plate are studied for the first time, which are simultaneously forced by the transverse, in-plane excitations and the excitation loaded by piezoelectric layers. Based on the Reddy's third-order shear deformation plate theory, the nonlinear governing equations of motion for the composite laminated piezoelectric rectangular plate are derived by using the Hamilton's principle. The Galerkin's approach is used to discretize partial differential governing equations to a two-degreeof-freedom nonlinear system under combined the parametric and external excitations. The method of multiple scales is employed to obtain the four-dimensional averaged equation. Numerical method is utilized to find the periodic and chaotic responses of the composite laminated piezoelectric rectangular plate. The numerical results indicate the existence of the periodic and chaotic responses in the averaged equation. The influence of the transverse, in-plane and piezoelectric excitations on the bifurcations and chaotic behaviors of the composite laminated piezoelectric rectangular plate is investigated numerically.composite laminated piezoelectric rectangular plate, third-order shear deformation, parametric excitation, bifurcation, chaos

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Active control of axisymmetric shells with piezoelectric layers: a mixed laminated theory with a high order displacement field

Cited by 71 publications

References 23 publications

Thermoelectrically induced nonlinear free vibration analysis of piezo laminated composite conical shell panel with random fiber orientation

Thermoelectrically induced nonlinear free vibration analysis of piezo laminated composite conical shell panel with random fiber orientation

A study on epoxy‐based 1–3 piezoelectric composites using finite element method

Periodic and chaotic dynamics of composite laminated piezoelectric rectangular plate with one-to-two internal resonance

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