A finite element model for nonlinear behaviour of piezoceramics under weak electric fields

Samal, M. K.; Seshu, P.; Parashar, S. K. S.; Wagner, Utz von; Hagedorn, Peter; Dutta, B.K.; Kushwaha, H.S.

doi:10.1016/j.finel.2005.05.002

Cited by 23 publications

(16 citation statements)

References 20 publications

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“…(17) and (18) into Eq. (16) and rearranging the expression, we obtain the variational formulation in the form [28] …”

Section: Isogeometric Finite Element Formulationmentioning

confidence: 99%

Development of a three-dimensional piezoelectric isogeometric finite element for smart structure applications

Willberg¹,

Gabbert²

2012

Acta Mech

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In this paper, a 3D electromechanical-coupled isogeometric finite element is presented. An important advantage of such elements is the possibility to incorporate geometrical data of computer-aided design systems into the description of the finite element models. In this work, the isogeometric approach is extended to a coupled electromechanical finite element with mechanical and electrical degrees of freedom. The proposed piezoelectric finite element is based on nonuniform rational B-spline shape functions. In order to demonstrate the functionality and the advantages of the isogeometric piezoelectric element for smart structure and structural health monitoring applications, various examples are presented. The results obtained with isogeometric elements agree very well with analytical and numerical reference solutions. It is shown that the better geometrical approximation introduced by isogeometric elements results in an improvement of the solution quality.

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“…(17) and (18) into Eq. (16) and rearranging the expression, we obtain the variational formulation in the form [28] …”

Section: Isogeometric Finite Element Formulationmentioning

confidence: 99%

Development of a three-dimensional piezoelectric isogeometric finite element for smart structure applications

Willberg¹,

Gabbert²

2012

Acta Mech

View full text Add to dashboard Cite

show abstract

“…Indeed, it is suitable for harmonic analysis and cannot be computed in the time domain. A coupled nonlinear model has been developed in [26][27][28] and extensive experiments have been conducted to validate the model for different types of piezoceramics. Solutions have been obtained in both time and frequency domains using both analytical and finite element techniques.…”

Section: Introductionmentioning

confidence: 99%

High nonlinearities in Langevin transducer: A comprehensive model

2011

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“…On the other hand, the nonlinear behavior of piezoelectric cantilever beams has been considered without focusing on the output of the energy harvester. In most of these studies [23][24][25][26], authors considered a single-mode representation, even in the presence of quadratic and cubic nonlinearities. In other studies, the added coupling between the mechanical and the electrical equations is taken into account.…”

Section: Introductionmentioning

confidence: 99%

Effects of nonlinear piezoelectric coupling on energy harvesters under direct excitation

2011

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A nonlinear analysis of an energy harvester consisting of a multilayered cantilever beam with a tip mass is performed. The model takes into account geometric, inertia, and piezoelectric nonlinearities. A combination of the Galerkin technique, the extended Hamilton principle, and the Gauss law is used to derive a reduced-order model of the harvester. The method of multiple scales is used to determine analytical expressions for the tip deflection, output voltage, and harvested power near the first global natural frequency. The results show that one-or two-mode approximations are not sufficient to produce accurate estimates of the voltage and harvested power. A parametric study is performed to investigate the effects of the nonlinear piezoelectric coefficients and the excitation amplitude on the system response. The effective nonlinearity may be of the hardening or softening type, depending on the relative magnitudes of the different nonlinearities.

show abstract

A finite element model for nonlinear behaviour of piezoceramics under weak electric fields

Cited by 23 publications

References 20 publications

Development of a three-dimensional piezoelectric isogeometric finite element for smart structure applications

Development of a three-dimensional piezoelectric isogeometric finite element for smart structure applications

High nonlinearities in Langevin transducer: A comprehensive model

Effects of nonlinear piezoelectric coupling on energy harvesters under direct excitation

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