Nonlinear free vibration of piezoelectric laminated composite plate

Dash, P. R.; Singh, B.N.

doi:10.1016/j.finel.2009.05.004

Cited by 60 publications

(22 citation statements)

References 18 publications

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“…From the [20]. It is also seen that among the given different mesh sizes such as (2x2), 4x4) and (6x6), the results at (4x4) mesh size has been converged and validated with with the available literature [20].…”

Section: Examplesupporting

confidence: 61%

“…Free vibration of plate structures with or without piezoelectric materials using finite element method based on HSDT with Green Langragian nonlinear strain displacement relation is carried out by Dash. et al [20]. Tripathi et al [21] analyzed the free vibration analysis for a conical shell with random material properties and also obtained natural frequency results for a conical shell by varying geometrical parameters.…”

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: Examplesupporting

confidence: 61%

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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“…where m C and r C are the volume fractions of the matrix and the CNTs, respectively, and k r , l r , n r , p r , m r are the Hills elastic modulus for the CNTs [15].…”

Section: Mori-tanaka Model and Agglomeration Effectsmentioning

confidence: 99%

“…Using Galerkin method, Shooshtari and Razavi [14] introduced a closed form solution for linear and nonlinear free vibrations of simply supported composite and fiber metal laminated rectangular plates based on the first order shear deformation theory. Nonlinear free vibration of geometrically piezoelectric laminated composite plate was studied by Dash and Singh [15] in the Green-Lagrange sense. Electro-thermo-mechanical nonlinear vibration and instability of a fluid conveying smart composite microtube made of polyvinylidene fluoride (PVDF) were investigated by Ghorbanpour Arani et al [16] based on the modified couple stress theory and Timoshenko beam model.…”

Section: Introductionmentioning

confidence: 99%

Elastic analysis of polymeric cylinders reinforced with carbon nanotubes

Hosseini

Kolahchi

Heydari

2016

J. Appl. Math. Comput. Mech.

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Abstract. In this work, stress analysis of a polymeric cylinder's cylindrical shell reinforced with carbon nanotubes (CNTs) is investigated. The cylinder is subjected to mechanical and thermal loadings. All the equivalent mechanical and thermal properties of nano-composite cylinder are obtained using Mori-Tanaka model. Based on equilibrium, the governing equation is derived. Using an exact solution, the stresses and radial displacement distributions in the structure are calculated. The effects of CNTs volume percent on the stresses and radial displacement for internal and external pressure cylinder are the main discussion of this study. Numerical results indicate that with increasing CNTs volume percent, the stresses decrease. However, this shows the important effect of nanotechnology in stress reduction of cylinder which may be useful in sensors and actuators.

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“…The equation of motion for the smart beam with a piezoelectric layer is derived using the Hamilton's principle. In paper [10] nonlinear free vibrations of a laminated composite plate with an embedded piezoelectric layer are examined. The nonlinear governing equations are derived in the Green-Lagrange framework using a higher order shear deformation theory.…”

Section: Introductionmentioning

confidence: 99%

Influence of the piezoelectric parameters on the dynamics of an active rotor

Gawryluk¹,

Mitura²,

Teter³

2018

AIP Conference Proceedings

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ARTICLES YOU MAY BE INTERESTED INFoldover effect and energy output from a nonlinear pseudo-maglev harvester AIP Conference Proceedings 1922, 100009 (2018 Abstract. The main aim of this paper is an experimental and numerical analysis of the dynamic behavior of an active rotor with three composite blades. The study focuses on developing an effective FE modeling technique of a macro fiber composite element (denoted as MFC or active element) for the dynamic tests of active structures. The active rotor under consideration consists of a hub with a drive shaft, three grips and three glass-epoxy laminate blades with embedded active elements. A simplified FE model of the macro fiber composite element exhibiting the d 33 piezoelectric effect is developed using the Abaqus software package. The discussed transducer is modeled as quasi-homogeneous piezoelectric material, and voltage is applied to the opposite faces of the element. In this case, the effective (equivalent) piezoelectric constant d 33 * is specified. Both static and dynamic tests are performed to verify the proposed model. First, static deflections of the active blade caused by the voltage signal are determined by numerical and experimental analyses. Next, a numerical modal analysis of the active rotor is performed. The eigenmodes and corresponding eigenfrequencies are determined by the Lanczos method. The influence of the model parameters (i.e., the effective piezoelectric constant d 33 * , voltage signal, angular velocity) on the dynamics of the active rotor is examined. Finally, selected numerical results are validated in experimental tests. The experimental findings demonstrate that the structural stiffening effect caused by the active element strongly depends on the value of the effective piezoelectric constant.

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Nonlinear free vibration of piezoelectric laminated composite plate

Cited by 60 publications

References 18 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

Elastic analysis of polymeric cylinders reinforced with carbon nanotubes

Influence of the piezoelectric parameters on the dynamics of an active rotor

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