Nonlinear dynamic characteristics of a dielectric elastomer membrane undergoing in-plane deformation

This paper proposes a free energy model to study the dynamic characteristics of a dielectric elastomer membrane undergoing in-plane deformation, subject to the combined loads of a mechanical press and an electric field. The natural frequency of the small-amplitude perturbation around the state of eq...

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Published inSmart materials and structures Vol. 23; no. 4; pp. 45010 - 45017
Main Authors Sheng, Junjie, Chen, Hualing, Li, Bo, Wang, Yongquan
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.04.2014
Institute of Physics
Subjects
Condensed matter: electronic structure, electrical, magnetic, and optical properties
damping
dielectric elastomer
Dielectric, piezoelectric, ferroelectric and antiferroelectric materials
Dielectrics, piezoelectrics, and ferroelectrics and their properties
dynamic
Exact sciences and technology
oscillation
phase diagram
Physics
Poincaré map
Polymers; organic compounds
Poincaré mapping
Frequency dependence
Electroactive polymer
Dielectric materials
Dielectric properties
Elastomers
Oscillations
Dynamic properties
Time response
Free energy
Combined load
Electric field effects
Plane strain
Non linear effect
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Abstract This paper proposes a free energy model to study the dynamic characteristics of a dielectric elastomer membrane undergoing in-plane deformation, subject to the combined loads of a mechanical press and an electric field. The natural frequency of the small-amplitude perturbation around the state of equilibrium is calculated with focus on the damping effects and the resonance phenomenon. The numerical results, such as the oscillation, phase diagrams and Poincaré maps, are presented to show the influence of the damping on the nonlinear dynamic characteristics of the dielectric elastomer. The numerical results indicate that pre-stresses, damping effects and applied voltages could tune the natural frequency and modify the dynamic behavior of the dielectric elastomer. There is a stability transition when taking the damping effect into account. The damping effect could cause the dynamic responses to constant vibration and decrease the amplitude. These conclusions may guide the exploration of high-performance dielectric elastomers under dynamic mechanical and electrical loads.
AbstractList This paper proposes a free energy model to study the dynamic characteristics of a dielectric elastomer membrane undergoing in-plane deformation, subject to the combined loads of a mechanical press and an electric field. The natural frequency of the small-amplitude perturbation around the state of equilibrium is calculated with focus on the damping effects and the resonance phenomenon. The numerical results, such as the oscillation, phase diagrams and Poincaré maps, are presented to show the influence of the damping on the nonlinear dynamic characteristics of the dielectric elastomer. The numerical results indicate that pre-stresses, damping effects and applied voltages could tune the natural frequency and modify the dynamic behavior of the dielectric elastomer. There is a stability transition when taking the damping effect into account. The damping effect could cause the dynamic responses to constant vibration and decrease the amplitude. These conclusions may guide the exploration of high-performance dielectric elastomers under dynamic mechanical and electrical loads.
Author Chen, Hualing
Li, Bo
Wang, Yongquan
Sheng, Junjie
Author_xml – sequence: 1
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– sequence: 2
  givenname: Hualing
  surname: Chen
  fullname: Chen, Hualing
  email: hlchen@mail.xjtu.edu.cn
  organization: Xi'an Jiaotong University School of Mechanical Engineering, State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi'an 710049, People's Republic of China
– sequence: 3
  givenname: Bo
  surname: Li
  fullname: Li, Bo
  organization: Xi'an Jiaotong University School of Mechanical Engineering, State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi'an 710049, People's Republic of China
– sequence: 4
  givenname: Yongquan
  surname: Wang
  fullname: Wang, Yongquan
  organization: Xi'an Jiaotong University School of Mechanical Engineering, State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi'an 710049, People's Republic of China
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Cites_doi 10.1209/0295-5075/90/36004
10.1080/19475411.2011.567306
10.1126/science.287.5454.836
10.1063/1.3054159
10.5254/1.3538357
10.1063/1.3680878
10.1088/0960-1317/21/9/095002
10.1016/j.ijsolstr.2010.08.008
10.1063/1.3694267
10.1063/1.3138153
10.1016/j.jsv.2009.06.023
10.1209/0295-5075/95/37006
10.1016/S0894-9166(11)60004-9
10.1002/pi.2767
10.1088/0964-1726/19/5/055025
10.1126/science.1194773
10.1007/s00339-012-6837-2
10.1016/j.ijsolstr.2012.08.006
10.1016/j.mechmat.2012.07.009
10.1103/PhysRevE.85.051801
10.1063/1.2979236
10.1039/c1sm05847a
10.1016/j.jmps.2007.05.021
10.1117/12.847358
10.1016/j.ijsolstr.2006.03.026
10.1016/j.ijengsci.2011.03.006
10.1016/j.jmps.2010.12.003
10.1117/12.776294
10.1016/j.jmps.2008.03.007
10.1109/JMEMS.2008.927741
10.1002/marc.200900425
10.1016/j.ijnonlinmec.2005.08.007
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Keywords Poincaré mapping
Frequency dependence
Electroactive polymer
Dielectric materials
Dielectric properties
Elastomers
Oscillations
Dynamic properties
Time response
Free energy
Combined load
Electric field effects
Plane strain
Non linear effect
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References 22
23
24
26
27
28
29
Liu Y (6) 2010; 90
McKay T (4) 2010; 19
30
31
10
32
11
33
Liu Y (5) 2009; 18
12
13
14
15
16
17
Li B (35) 2011; 95
18
19
Liu Y (9) 2009; 18
1
2
3
7
Feng C (25) 2011; 21
8
Sheng J (34) 2011; 44
20
21
References_xml – volume: 90
  start-page: 36004
  issn: 0295-5075
  year: 2010
  ident: 6
  publication-title: Europhys. Lett.
  doi: 10.1209/0295-5075/90/36004
– ident: 17
  doi: 10.1080/19475411.2011.567306
– ident: 1
  doi: 10.1126/science.287.5454.836
– ident: 13
  doi: 10.1063/1.3054159
– ident: 31
  doi: 10.5254/1.3538357
– ident: 33
  doi: 10.1063/1.3680878
– volume: 21
  issn: 0960-1317
  year: 2011
  ident: 25
  publication-title: J. Micromech. Microeng.
  doi: 10.1088/0960-1317/21/9/095002
– ident: 26
  doi: 10.1016/j.ijsolstr.2010.08.008
– ident: 30
  doi: 10.1063/1.3694267
– ident: 14
  doi: 10.1063/1.3138153
– ident: 28
  doi: 10.1016/j.jsv.2009.06.023
– volume: 95
  start-page: 37006
  issn: 0295-5075
  year: 2011
  ident: 35
  publication-title: Europhys. Lett.
  doi: 10.1209/0295-5075/95/37006
– ident: 8
  doi: 10.1016/S0894-9166(11)60004-9
– ident: 23
  doi: 10.1002/pi.2767
– volume: 19
  issn: 0964-1726
  year: 2010
  ident: 4
  publication-title: Smart Mater. Struct.
  doi: 10.1088/0964-1726/19/5/055025
– ident: 2
  doi: 10.1126/science.1194773
– ident: 22
  doi: 10.1007/s00339-012-6837-2
– ident: 27
  doi: 10.1016/j.ijsolstr.2012.08.006
– ident: 16
  doi: 10.1016/j.mechmat.2012.07.009
– ident: 10
  doi: 10.1103/PhysRevE.85.051801
– ident: 12
  doi: 10.1063/1.2979236
– ident: 15
  doi: 10.1039/c1sm05847a
– ident: 11
  doi: 10.1016/j.jmps.2007.05.021
– ident: 21
  doi: 10.1117/12.847358
– volume: 18
  issn: 0964-1726
  year: 2009
  ident: 5
  publication-title: Smart Mater. Struct.
– ident: 7
  doi: 10.1016/j.ijsolstr.2006.03.026
– ident: 24
  doi: 10.1016/j.ijengsci.2011.03.006
– ident: 32
  doi: 10.1016/j.jmps.2010.12.003
– ident: 29
  doi: 10.1117/12.776294
– volume: 18
  issn: 0964-1726
  year: 2009
  ident: 9
  publication-title: Smart Mater. Struct.
– ident: 19
  doi: 10.1016/j.jmps.2008.03.007
– ident: 18
  doi: 10.1109/JMEMS.2008.927741
– volume: 44
  issn: 0022-3727
  year: 2011
  ident: 34
  publication-title: J. Phys. D: Appl. Phys.
– ident: 3
  doi: 10.1002/marc.200900425
– ident: 20
  doi: 10.1016/j.ijnonlinmec.2005.08.007
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Snippet This paper proposes a free energy model to study the dynamic characteristics of a dielectric elastomer membrane undergoing in-plane deformation, subject to the...
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StartPage 45010
SubjectTerms Condensed matter: electronic structure, electrical, magnetic, and optical properties
damping
dielectric elastomer
Dielectric, piezoelectric, ferroelectric and antiferroelectric materials
Dielectrics, piezoelectrics, and ferroelectrics and their properties
dynamic
Exact sciences and technology
oscillation
phase diagram
Physics
Poincaré map
Polymers; organic compounds
Title Nonlinear dynamic characteristics of a dielectric elastomer membrane undergoing in-plane deformation
URI https://iopscience.iop.org/article/10.1088/0964-1726/23/4/045010
Volume 23
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