Viscoelastic Substrates Effects on the Elimination or Reduction of the Sandwich Structures Oscillations Based on the Kelvin-Voigt Model

Abstract Effects of viscoelastic substrates on the sandwich structures oscillations are examined in this paper. In this regard, dynamic response of sandwich annular panels with FG polar orthotropic face sheets resting on viscoelastic substrate is presented. Young’s modulus in the radial and circumfe...

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Main Authors: M.M. Alipour, I. Rajabi
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=S1679-78252017001302463&lng=en&tlng=en
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author M.M. Alipour
I. Rajabi
author_facet M.M. Alipour
I. Rajabi
author_sort M.M. Alipour
collection DOAJ
description Abstract Effects of viscoelastic substrates on the sandwich structures oscillations are examined in this paper. In this regard, dynamic response of sandwich annular panels with FG polar orthotropic face sheets resting on viscoelastic substrate is presented. Young’s modulus in the radial and circumferential direction, shear modulus and density of each face sheet may be varied continuously in the radial direction. The viscoelastic substrate is modeled as Kelvin-Voigt foundation. To describe more accurately response of sandwich structures, the governing dynamical equations are derived based on the layerwise theory and five systems of second order coupled partial differential equations are obtained. The effects of the stiffness and damping coefficients of the foundation on the dynamic behavior of sandwich plate are investigated for various transient loads and boundary condition. Since no available results may be found in literature to demonstrate the efficiency and accuracy of the obtained results, the obtained results are verified by comparison with finite element results based on the three dimensional theory of elasticity for some special cases.
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spelling doaj.art-e39943d77c3e44558504bf056ce048c02022-12-21T18:48:19ZengMarcílio AlvesLatin American Journal of Solids and Structures1679-782514132463249610.1590/1679-78254096S1679-78252017001302463Viscoelastic Substrates Effects on the Elimination or Reduction of the Sandwich Structures Oscillations Based on the Kelvin-Voigt ModelM.M. AlipourI. RajabiAbstract Effects of viscoelastic substrates on the sandwich structures oscillations are examined in this paper. In this regard, dynamic response of sandwich annular panels with FG polar orthotropic face sheets resting on viscoelastic substrate is presented. Young’s modulus in the radial and circumferential direction, shear modulus and density of each face sheet may be varied continuously in the radial direction. The viscoelastic substrate is modeled as Kelvin-Voigt foundation. To describe more accurately response of sandwich structures, the governing dynamical equations are derived based on the layerwise theory and five systems of second order coupled partial differential equations are obtained. The effects of the stiffness and damping coefficients of the foundation on the dynamic behavior of sandwich plate are investigated for various transient loads and boundary condition. Since no available results may be found in literature to demonstrate the efficiency and accuracy of the obtained results, the obtained results are verified by comparison with finite element results based on the three dimensional theory of elasticity for some special cases.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017001302463&lng=en&tlng=enDynamic responseFG polar orthotropicviscoelasticfoundationtransient loads, Kelvin-Voigt
spellingShingle M.M. Alipour
I. Rajabi
Viscoelastic Substrates Effects on the Elimination or Reduction of the Sandwich Structures Oscillations Based on the Kelvin-Voigt Model
Latin American Journal of Solids and Structures
Dynamic response
FG polar orthotropic
viscoelasticfoundation
transient loads, Kelvin-Voigt
title Viscoelastic Substrates Effects on the Elimination or Reduction of the Sandwich Structures Oscillations Based on the Kelvin-Voigt Model
title_full Viscoelastic Substrates Effects on the Elimination or Reduction of the Sandwich Structures Oscillations Based on the Kelvin-Voigt Model
title_fullStr Viscoelastic Substrates Effects on the Elimination or Reduction of the Sandwich Structures Oscillations Based on the Kelvin-Voigt Model
title_full_unstemmed Viscoelastic Substrates Effects on the Elimination or Reduction of the Sandwich Structures Oscillations Based on the Kelvin-Voigt Model
title_short Viscoelastic Substrates Effects on the Elimination or Reduction of the Sandwich Structures Oscillations Based on the Kelvin-Voigt Model
title_sort viscoelastic substrates effects on the elimination or reduction of the sandwich structures oscillations based on the kelvin voigt model
topic Dynamic response
FG polar orthotropic
viscoelasticfoundation
transient loads, Kelvin-Voigt
url http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017001302463&lng=en&tlng=en
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AT irajabi viscoelasticsubstrateseffectsontheeliminationorreductionofthesandwichstructuresoscillationsbasedonthekelvinvoigtmodel