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Nonlinear oscillations of a dielectric elastomer membrane subjected to in-plane stretching

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Abstract

An analytical model is proposed for the dynamic behavior analysis of a dielectric elastomer (DE) membrane undergoing in-plane stretching. We employ the neo-Hookean model for describing the hyperelasticity feature of the DE membrane. The DE membrane is assumed to elongate only in length direction. For better understanding the dynamic responses of the DE membrane, both free and forced oscillations of the nonlinear system are analyzed. The results show that the system may display periodic oscillations in its length, no matter the DE membrane is constrained by linear or nonlinear cubic springs. It is found that quasi-periodic oscillations of the DE membrane fairly occur provided an in-plane harmonic force is applied. In addition, the response frequencies of the system are also addressed.

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Acknowledgments

The authors gratefully acknowledge the support provided by the Natural Science Foundation of Hubei Province (2013CFA130, 2014CFA124).

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Authors and Affiliations

  1. Department of Mechanics, Huazhong University of Science and Technology, Wuhan, 430074, China

    Hu-liang Dai & Lin Wang

  2. Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Wuhan, 430074, China

    Hu-liang Dai & Lin Wang

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  1. Hu-liang Dai
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  2. Lin Wang
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Correspondence to Lin Wang.

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Dai, Hl., Wang, L. Nonlinear oscillations of a dielectric elastomer membrane subjected to in-plane stretching. Nonlinear Dyn 82, 1709–1719 (2015). https://doi.org/10.1007/s11071-015-2271-2

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  • DOI: https://doi.org/10.1007/s11071-015-2271-2

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