Finite element modeling of smart plates/shells using higher order shear deformation theory

Kulkarni, Sudhakar A.; Bajoria, Kamal M.

doi:10.1016/s0263-8223(03)00082-5

Cited by 69 publications

(43 citation statements)

References 16 publications

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“…FGM plate is mixture of aluminum and stainless steel with piezoelectric actuator and sensor at top and bottom with thickness of piezoelectric actuator (t a ) and sensor (t s ) is 0.0025 m. Plate is simply supported at all edges (SSSS) and it is subjected to uniaxial compressions ( figure 4). The elastic modulus of aluminum and stainless steel is 70 Gpa and 193 Gpa respectively, Poisson's ratio is 0.3, piezostrain constants (e31, e32) is 0.046 C/m 2 and Electric permittivity (ε11) is 1.060e-10 F/m [10]. As per analytical method (11), critical buckling load is expressed as, with E, the Young's modulus) and K cr =4 for isotropic plate.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…The figure 2 shows the geometry of eight noded isoparametric degenerated shell element [7]. For element geometry please refer to [10]. Geometry of an element.…”

Section: Finite-element Formulationmentioning

confidence: 99%

“…The linear piezoelectric constitutive equations coupling the elastic and electric fields can be respectively expressed as the direct and the converse piezoelectric equations are given as [10],…”

Section: Electro-mechanical Couplingmentioning

confidence: 99%

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Stability analysis of a thick piezoelectric FGM plate

Bajoria¹,

Jadhav²

2013

Computational Methods and Experimental Measurements XVI

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This paper investigates the stability analysis of plates made of functionally graded material (FGM) and subjected to electro-mechanical loading. A thick square FGM plate with piezoelectric actuator and sensor at top and bottom face is considered. The material properties are assumed to be graded along the thickness direction according to simple power-law distribution in terms of the volume fraction of the constituents, while the Poisson's ratio is assumed to be constant. The plate is simply supported at all edges. Using first order (FOST) and higher order shear deformation theories (HOST12), the finite element model is derived with von-Karman hypothesis and as a degenerated shell element. The displacement component of the present model is expanded in Taylor's series in terms of thickness co-ordinate. The governing equilibrium equation is obtained by using the principle of minimum potential energy and the solution for critical buckling load is obtained by solving the eigen value problem. The stability analysis of piezoelectric FG plate is carried out to present the effect of power law index and applied mechanical pressure. Results reveal that buckling strength increases with an increase in volume fraction. It can also be improved using piezo effects. The present analysis is carried out on newly introduced metal based FGM which is a mixture of aluminum and stainless steel which exhibits corrosion resistance as well as high strength property in a single material. Keyword: functionally graded material, finite element method, piezoelectric material, FOST, HOST12, eigen value problem,

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Section: Numerical Results and Discussionmentioning

confidence: 99%

“…The figure 2 shows the geometry of eight noded isoparametric degenerated shell element [7]. For element geometry please refer to [10]. Geometry of an element.…”

Section: Finite-element Formulationmentioning

confidence: 99%

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Stability analysis of a thick piezoelectric FGM plate

Bajoria¹,

Jadhav²

2013

Computational Methods and Experimental Measurements XVI

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“…where D 3 , D 4 and D 5 are the laminate stiffness matrices of the conical shell panel defined in appendix (A.6). From Eq.…”

Section: Formulationmentioning

confidence: 99%

“…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. Moita Jose et al [5] developed a finite element formulation based on Kirchhoff classical laminated theory for active vibration control of plate laminated structure with integrated piezoelectric sensors and actuators using Kirchhoff classical laminated theory.…”

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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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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