Coupled buckling and postbuckling analysis of active laminated piezoelectric composite plates

Varelis, Dimitris; Saravanos, Dimitris A.

doi:10.1016/j.ijsolstr.2003.09.034

Cited by 65 publications

(28 citation statements)

References 23 publications

(26 reference statements)

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“…To the best of our knowledge, there exist essentially no reported numerical results on the non-linear response of cylindrical shells with piezoelectric actuators and/or sensors to compare. It is further pointed out that the linear part of the coupled shell mechanics and FE was validated in Reference [11], while validations regarding the special case of non-linear plates with piezoelectric actuators are reported in Reference [19].…”

Section: Validation Casesmentioning

confidence: 99%

“…Non-linear beam and plate theoretical models and finite element formulations have been reported for beam and plate piezocomposite structures, which mostly address effects of geometric non-linearity [13][14][15][16][17][18][19], but some also addressed piezoelectric material nonlinearity [20]. To the author's best knowledge, very few analytical models have been presented, thus far, on the analysis of piezoelectric shells encompassing geometric non-linearity.…”

Section: Introductionmentioning

confidence: 99%

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Coupled mechanics and finite element for non‐linear laminated piezoelectric shallow shells undergoing large displacements and rotations

Varelis

Saravanos

2005

Numerical Meth Engineering

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SUMMARYA theoretical framework is presented for analysing the coupled non-linear response of shallow doubly curved adaptive laminated piezoelectric shells undergoing large displacements and rotations. The formulated mechanics incorporate coupling between in-plane and flexural stiffness terms due to geometric curvature, coupling between mechanical and electric fields, and encompass geometric non-linearity effects due to large displacements and rotations. The governing equations are formulated explicitly in orthogonal curvilinear co-ordinates and are combined with the kinematic assumptions of a mixed-field shear-layerwise shell laminate theory. Based on the above formulation, a finite element methodology together with an incremental-iterative technique, based on Newton-Raphson method is formulated. An eight-node coupled non-linear shell element is also developed. Various evaluation cases on laminated curved beams and cylindrical panels illustrate the capability of the shell finite element to predict the complex non-linear behaviour of active shell structures including buckling, which is not captured by linear shell models. The numerical results also show the inherent capability of piezoelectric shell structures to actively induce large displacements through piezoelectric actuators, by jumping between multiple equilibrium states.

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Section: Validation Casesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Coupled mechanics and finite element for non‐linear laminated piezoelectric shallow shells undergoing large displacements and rotations

Varelis

Saravanos

2005

Numerical Meth Engineering

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“…The laminated structure analyzed here is taken from the work of Varelis and Saravanos (2004). Figure 8 shows its geometry and engineering properties.…”

Section: Numerical Resultsmentioning

confidence: 99%

Laminated Composites Buckling Analysis Using Lamination Parameters, Neural Networks and Support Vector Regression

Koide

Ferreira

Luersen

2015

Lat. Am. j. solids struct.

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This work presents a metamodel strategy to approximate the buckling load response of laminated composite plates. In order to obtain representative data for training the metamodel, some laminates with different stacking sequences are generated using the Latin hypercube sampling plan. These stacking sequences are converted into lamination parameters so that the number of inputs of the metamodel becomes constant. The buckling load for each laminate of the training set are computed using finite elements. In this way the inputs-outputs metamodel training pairs are the lamination parameters and the corresponding bucking load. Neural network and support vector regression metamodels are employed to approximate the buckling load. The performances of the metamodels are compared in a test case and the results are shown and discussed.

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“…Ahmad et al [2004] formulated a nonlinear model of a smart beam using general electrothermoelastic relations. In [Varelis and Saravanos 2004] the present authors demonstrated the prebuckling and postbuckling response of piezoelectric plates solving the static coupled nonlinear equations, and in [Varelis and Saravanos 2008] we developed a coupled nonlinear shell element for the prediction of stable and unstable deflection paths of piezolaminated shells subject to thermoelectromechanical loads, and also demonstrated the capability of piezoelectric shells to induce large deflections through active snap-through buckling.…”

Section: Introductionmentioning

confidence: 95%

Coupled finite element for the nonlinear dynamic response of active piezoelectric plates under thermoelectromechanical loads

Varelis¹,

Saravanos²

2009

JOMMS

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A theoretical framework is presented for analyzing the coupled nonlinear dynamic behavior of laminated piezoelectric composite plates subject to high thermoelectromechanical loadings. It incorporates coupling between mechanical, electric, and thermal governing equations and encompass geometric nonlinearity effects due to large displacements and rotations. The mixed-field shear-layerwise plate laminate theory formulation is considered, thus degenerating the 3D electromechanical field to 2D nodal variables, and an eight-node coupled nonlinear plate element is developed. The discrete coupled nonlinear dynamic equations of motion are formulated, linearized, and numerically solved at each time step using the implicit Newmark scheme with a Newton-Raphson technique. Validation and evaluation cases on active laminated beams demonstrate the accuracy of the method and its robust capability to effectively predict the nonlinear dynamic response under time-dependent combined mechanical, thermal, and piezoelectric actuator loads. The results illustrate the capability of the method to simulate large amplitude vibrations and dynamic buckling phenomena in active piezocomposite plates. The influence of loading rates on the nonlinear dynamic structural response is also quantified. Additional numerical cases demonstrate the complex dynamic interactions between electrical, mechanical, and thermal buckling loads.

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Coupled buckling and postbuckling analysis of active laminated piezoelectric composite plates

Cited by 65 publications

References 23 publications

Coupled mechanics and finite element for non‐linear laminated piezoelectric shallow shells undergoing large displacements and rotations

Coupled mechanics and finite element for non‐linear laminated piezoelectric shallow shells undergoing large displacements and rotations

Laminated Composites Buckling Analysis Using Lamination Parameters, Neural Networks and Support Vector Regression

Coupled finite element for the nonlinear dynamic response of active piezoelectric plates under thermoelectromechanical loads

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