An efficient coupled polynomial interpolation scheme for shear mode sandwich beam finite element
An efficient piezoelectric sandwich beam finite element is presented here. It employs the coupled polynomial field interpolation scheme for field variables which incorporates electromechanical coupling at interpolation level itself; unlike conventional sandwich beam theory (SBT) based formulations a...
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
Marcílio Alves
|
Series: | Latin American Journal of Solids and Structures |
Subjects: | |
Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014001000010&lng=en&tlng=en |
id |
doaj-3ee4f0408b224c5ca0187e00337d1c4f |
---|---|
record_format |
Article |
spelling |
doaj-3ee4f0408b224c5ca0187e00337d1c4f2020-11-24T21:49:55ZengMarcílio AlvesLatin American Journal of Solids and Structures1679-782511101864188510.1590/S1679-78252014001000010S1679-78252014001000010An efficient coupled polynomial interpolation scheme for shear mode sandwich beam finite elementLitesh N. Sulbhewar0P. Raveendranath1Indian Institute of Space Science and TechologyIndian Institute of Space Science and TechologyAn efficient piezoelectric sandwich beam finite element is presented here. It employs the coupled polynomial field interpolation scheme for field variables which incorporates electromechanical coupling at interpolation level itself; unlike conventional sandwich beam theory (SBT) based formulations available in the literature. A variational formulation is used to derive the governing equations, which are used to establish the relationships between field variables. These relations lead to the coupled polynomial field descriptions of variables, unlike conventional SBT formulations which use assumed independent polynomials. The relative axial displacement is expressed only by coupled terms containing contributions from other mechanical and electrical variables, thus eliminating use of the transverse displacement derivative as a degree of freedom. A set of coupled shape function based on these polynomials has shown the improvement in the convergence characteristics of the SBT based formulation. This improvement in the performance is achieved with one nodal degree of freedom lesser than the conventional SBT formulations.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014001000010&lng=en&tlng=enCoupled fieldfinite elementssandwich beampiezoelectricsmart structureshear mode |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Litesh N. Sulbhewar P. Raveendranath |
spellingShingle |
Litesh N. Sulbhewar P. Raveendranath An efficient coupled polynomial interpolation scheme for shear mode sandwich beam finite element Latin American Journal of Solids and Structures Coupled field finite elements sandwich beam piezoelectric smart structure shear mode |
author_facet |
Litesh N. Sulbhewar P. Raveendranath |
author_sort |
Litesh N. Sulbhewar |
title |
An efficient coupled polynomial interpolation scheme for shear mode sandwich beam finite element |
title_short |
An efficient coupled polynomial interpolation scheme for shear mode sandwich beam finite element |
title_full |
An efficient coupled polynomial interpolation scheme for shear mode sandwich beam finite element |
title_fullStr |
An efficient coupled polynomial interpolation scheme for shear mode sandwich beam finite element |
title_full_unstemmed |
An efficient coupled polynomial interpolation scheme for shear mode sandwich beam finite element |
title_sort |
efficient coupled polynomial interpolation scheme for shear mode sandwich beam finite element |
publisher |
Marcílio Alves |
series |
Latin American Journal of Solids and Structures |
issn |
1679-7825 |
description |
An efficient piezoelectric sandwich beam finite element is presented here. It employs the coupled polynomial field interpolation scheme for field variables which incorporates electromechanical coupling at interpolation level itself; unlike conventional sandwich beam theory (SBT) based formulations available in the literature. A variational formulation is used to derive the governing equations, which are used to establish the relationships between field variables. These relations lead to the coupled polynomial field descriptions of variables, unlike conventional SBT formulations which use assumed independent polynomials. The relative axial displacement is expressed only by coupled terms containing contributions from other mechanical and electrical variables, thus eliminating use of the transverse displacement derivative as a degree of freedom. A set of coupled shape function based on these polynomials has shown the improvement in the convergence characteristics of the SBT based formulation. This improvement in the performance is achieved with one nodal degree of freedom lesser than the conventional SBT formulations. |
topic |
Coupled field finite elements sandwich beam piezoelectric smart structure shear mode |
url |
http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014001000010&lng=en&tlng=en |
work_keys_str_mv |
AT liteshnsulbhewar anefficientcoupledpolynomialinterpolationschemeforshearmodesandwichbeamfiniteelement AT praveendranath anefficientcoupledpolynomialinterpolationschemeforshearmodesandwichbeamfiniteelement AT liteshnsulbhewar efficientcoupledpolynomialinterpolationschemeforshearmodesandwichbeamfiniteelement AT praveendranath efficientcoupledpolynomialinterpolationschemeforshearmodesandwichbeamfiniteelement |
_version_ |
1725886519585013760 |