Nonlinear Free Vibration of Hybrid Composite Moving Beams Embedded with Shape Memory Alloy Fibers

The aim of this paper is to investigate the free vibration of hybrid composite moving beams embedded with shape memory alloy (SMA) fibers. The nonlinear equations of motion are derived based on the Euler–Bernoulli beam theory in conjunction with the von Karman type of nonlinearity in strain–displace...

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Published inInternational journal of structural stability and dynamics Vol. 16; no. 7; p. 1550032
Main Authors Ebrahimi, M. R., Moeinfar, A., Shakeri, M.
Format Journal Article
LanguageEnglish
Published Singapore World Scientific Publishing Company 01.09.2016
World Scientific Publishing Co. Pte., Ltd
Subjects
Beam theory (structures)
Equations of motion
Euler-Bernoulli beams
Fibers
Free vibration
Hamilton's principle
Hybrid composites
Nonlinear equations
Nonlinearity
Resonant frequencies
Shape memory alloys
moving beam
SMA fiber
free vibration
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Abstract The aim of this paper is to investigate the free vibration of hybrid composite moving beams embedded with shape memory alloy (SMA) fibers. The nonlinear equations of motion are derived based on the Euler–Bernoulli beam theory in conjunction with the von Karman type of nonlinearity in strain–displacement relations via the extended Hamilton principle. Also, the recovery stress induced by the SMA fibers is computed by applying the one-dimensional Brinson model and Reuss scheme. Then, an analytical approach in used to solve the nonlinear equation of motion for the simply supported shape memory alloy hybrid composite (SMAHC) moving beams. Based on the analytical solution, several parametric studies are presented to show the effects of various parameters such as volume fraction, pre-strain in the SMA fibers, temperature rise and velocity on the fundamental frequency of the SMAHC moving beams. Due to the lack of similar results in the specialized literature on the subject of interest, this paper is likely to fill a gap in the state of the art of the related research.
AbstractList The aim of this paper is to investigate the free vibration of hybrid composite moving beams embedded with shape memory alloy (SMA) fibers. The nonlinear equations of motion are derived based on the Euler–Bernoulli beam theory in conjunction with the von Karman type of nonlinearity in strain–displacement relations via the extended Hamilton principle. Also, the recovery stress induced by the SMA fibers is computed by applying the one-dimensional Brinson model and Reuss scheme. Then, an analytical approach in used to solve the nonlinear equation of motion for the simply supported shape memory alloy hybrid composite (SMAHC) moving beams. Based on the analytical solution, several parametric studies are presented to show the effects of various parameters such as volume fraction, pre-strain in the SMA fibers, temperature rise and velocity on the fundamental frequency of the SMAHC moving beams. Due to the lack of similar results in the specialized literature on the subject of interest, this paper is likely to fill a gap in the state of the art of the related research.
Author Moeinfar, A.
Shakeri, M.
Ebrahimi, M. R.
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Cites_doi 10.1080/10759419608945861
10.1007/BF02729036
10.1016/j.euromechsol.2013.07.011
10.1016/j.compstruct.2009.06.008
10.1121/1.399683
10.1016/0022-460X(90)90947-X
10.1177/002199839202600107
10.1016/j.jmps.2007.03.010
10.1016/0749-6419(89)90023-5
10.1016/j.ast.2013.09.008
10.1016/0022-460X(91)90603-H
10.1016/j.compstruct.2011.06.008
10.1121/1.400503
10.1080/01495730903409235
10.1016/S0167-6636(02)00199-0
10.1177/1045389X9300400213
10.1007/BF00042744
10.1007/s00419-010-0468-x
10.1063/1.338151
10.1016/S0022-460X(87)80236-5
10.1177/1045389X9100200105
10.1016/j.ijnonlinmec.2011.11.002
10.1177/1045389X9600700112
10.1115/1.2928602
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2016. World Scientific Publishing Company
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References S0219455415500327BIB023
S0219455415500327BIB021
S0219455415500327BIB006
S0219455415500327BIB028
S0219455415500327BIB027
S0219455415500327BIB004
S0219455415500327BIB026
S0219455415500327BIB025
Baumgart F. (S0219455415500327BIB003) 1976; 34
S0219455415500327BIB020
Falk F. (S0219455415500327BIB007) 1983; 35
Chamis C. C. (S0219455415500327BIB034) 1983
Achenbach M. (S0219455415500327BIB005) 1985; 37
S0219455415500327BIB018
S0219455415500327BIB013
S0219455415500327BIB035
S0219455415500327BIB012
S0219455415500327BIB011
S0219455415500327BIB033
S0219455415500327BIB010
S0219455415500327BIB032
S0219455415500327BIB015
S0219455415500327BIB014
S0219455415500327BIB031
S0219455415500327BIB030
Lagoudas D. C. (S0219455415500327BIB001) 2008
S0219455415500327BIB009
S0219455415500327BIB008
S0219455415500327BIB029
References_xml – ident: S0219455415500327BIB013
  doi: 10.1080/10759419608945861
– ident: S0219455415500327BIB004
  doi: 10.1007/BF02729036
– ident: S0219455415500327BIB031
  doi: 10.1016/j.euromechsol.2013.07.011
– ident: S0219455415500327BIB027
  doi: 10.1016/j.compstruct.2009.06.008
– ident: S0219455415500327BIB018
  doi: 10.1121/1.399683
– volume: 34
  start-page: 1
  year: 1976
  ident: S0219455415500327BIB003
  publication-title: Tech. Mitt. Krupp. Fors.
– ident: S0219455415500327BIB020
  doi: 10.1016/0022-460X(90)90947-X
– ident: S0219455415500327BIB025
  doi: 10.1177/002199839202600107
– ident: S0219455415500327BIB015
  doi: 10.1016/j.jmps.2007.03.010
– ident: S0219455415500327BIB006
  doi: 10.1016/0749-6419(89)90023-5
– ident: S0219455415500327BIB032
  doi: 10.1016/j.ast.2013.09.008
– ident: S0219455415500327BIB023
  doi: 10.1016/0022-460X(91)90603-H
– ident: S0219455415500327BIB028
  doi: 10.1016/j.compstruct.2011.06.008
– ident: S0219455415500327BIB021
  doi: 10.1121/1.400503
– ident: S0219455415500327BIB026
  doi: 10.1080/01495730903409235
– volume: 35
  start-page: 63
  issue: 1
  year: 1983
  ident: S0219455415500327BIB007
  publication-title: Arch. Mech.
– ident: S0219455415500327BIB014
  doi: 10.1016/S0167-6636(02)00199-0
– volume-title: Simplified Composite Micromechanics Equation for Hygral, Thermal and Mechanical Properties
  year: 1983
  ident: S0219455415500327BIB034
– ident: S0219455415500327BIB012
  doi: 10.1177/1045389X9300400213
– ident: S0219455415500327BIB011
  doi: 10.1007/BF00042744
– ident: S0219455415500327BIB029
  doi: 10.1007/s00419-010-0468-x
– ident: S0219455415500327BIB008
  doi: 10.1063/1.338151
– ident: S0219455415500327BIB035
  doi: 10.1016/S0022-460X(87)80236-5
– volume-title: Shape Memory Alloys: Modeling and Engineering Applications
  year: 2008
  ident: S0219455415500327BIB001
– ident: S0219455415500327BIB009
  doi: 10.1177/1045389X9100200105
– ident: S0219455415500327BIB030
  doi: 10.1016/j.ijnonlinmec.2011.11.002
– ident: S0219455415500327BIB033
  doi: 10.1177/1045389X9600700112
– ident: S0219455415500327BIB010
  doi: 10.1115/1.2928602
– volume: 37
  start-page: 573
  issue: 6
  year: 1985
  ident: S0219455415500327BIB005
  publication-title: Arch. Mech.
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Snippet The aim of this paper is to investigate the free vibration of hybrid composite moving beams embedded with shape memory alloy (SMA) fibers. The nonlinear...
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SubjectTerms Beam theory (structures)
Equations of motion
Euler-Bernoulli beams
Fibers
Free vibration
Hamilton's principle
Hybrid composites
Nonlinear equations
Nonlinearity
Resonant frequencies
Shape memory alloys
Title Nonlinear Free Vibration of Hybrid Composite Moving Beams Embedded with Shape Memory Alloy Fibers
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