Abstract
Dielectric elastomers (DEs) exhibit significant potential applications as soft robots. Due to complicated electromechanical coupling behavior, DEs generate a strong nonlinear oscillation, which may induce the undesired failure and other instabilities. Based on the DE slide actuators (DESAs), we deduce a viscoelastic dynamic model by incorporating the inertial forces and viscous dampings in all three principal directions. Numerically, calculations are utilized to detect the dynamic properties of the DESA. By employing the established model, the special phenomenon of pinnacle elimination in nonlinear oscillation is achieved. The dynamic loss of tension instability in both two DE membranes of the DESA is also analyzed. Effects of the voltage amplitude, the mass bar, the length ratio between two membranes, and the prestretches of DEs are considered and discussed, respectively.
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Pelrine, R., Kornbluh, R., Pei, Q., Joseph, J.: High-speed electrically actuated elastomers with strain greater than 100%. Science 287, 836–839 (2000)
Carpi, F., Bauer, S., Rossi, D.D.: Stretching dielectric elastomer performance. Science 330, 1759–1761 (2010)
Brochu, P., Pei, Q.: Advances in dielectric elastomers for actuators and artificial muscles. Macromol Rapid Commun 31, 10–36 (2010)
Zurlo, G., Destrade, M., DeTommasi, D., Puglisi, G.: Catastrophic thinning of dielectric elastomers. Phys Rev Lett 118, 078001 (2017)
Suo, Z.: Theory of dielectric elastomers. Acta Mech Solida Sin 23, 549–578 (2010)
Keplinger, C., Li, T., Baumgartner, R., Suo, Z., Bauer, S.: Harnessing snap-through instability in soft dielectrics to achieve giant voltage-triggered deformation. Soft Matter 8, 285–288 (2012)
Pei, Q., Pelrine, R., Stanford, S., Kornbluh, R., Rosenthal, M.: Electroelastomer rolls and their application for biomimetic walking robots. Synth Met 135–136, 129–131 (2003)
Kovacs, G., Lochmatter, P., Wissler, M.: An arm wrestling robot driven by dielectric elastomer actuators. Smart Mater Struct 16, S306–S317 (2007)
Henke, E.-F.M., Schlatter, S., Anderson, I.A.: Soft dielectric elastomer oscillators driving bioinspired robots. Soft Robot 4, 353–366 (2017)
Zhao, J., Niu, J., McCoul, D., Ren, Z., Pei, Q.: Phenomena of nonlinear oscillation and special resonance of a dielectric elastomer minimum energy structure rotary joint. Appl Phys Lett 106, 133504 (2015)
Carpi, F., Frediani, G., Turco, S., Rossi, D.D.: Bioinspired tunable lens with muscle-like electroactive elastomers. Adv Funct Mater 21, 4152–4158 (2011)
Tang, D., Lim, C.W., Hong, L., Jiang, J., Lai, S.K.: Analytical asymptotic approximations for large amplitude nonlinear free vibration of a dielectric elastomer balloon. Nonlinear Dyn 88, 2255–2264 (2017)
Keplinger, C., Sun, J.-Y., Foo, C.C., Rothemund, P., Whitesides, G.M., Suo, Z.: Stretchable, transparent, ionic conductors. Science 341, 984–987 (2013)
Zhang, J., Li, B., Chen, H., Pei, Q.: Dissipative performance of dielectric elastomers under various voltage waveforms. Soft Matter 12, 2348–2356 (2016)
Fox, J.W., Goulbourne, N.: On the dynamic electromechanical loading of dielectric elastomer membranes. J Mech Phys Solids 56, 2669–2686 (2008)
Lu, Z., Shrestha, M., Lau, G.-K.: Electrically tunable and broader-band sound absorption by using micro-perforated dielectric elastomer actuator. Appl Phys Lett 110, 182901 (2017)
Zhu, J.: Instability in nonlinear oscillation of dielectric elastomers. J Appl Mech 82, 061001 (2015)
Zhang, J., Chen, H., Li, B., McCoul, D., Pei, Q.: Coupled nonlinear oscillation and stability evolution of viscoelastic dielectric elastomers. Soft Matter 11, 7483–7493 (2015)
York, A., Dunn, J., Seelecke, S.: Experimental characterization of the hysteretic and rate-dependent electromechanical behavior of dielectric electroactive polymer actuators. Smart Mater Struct 19, 094014 (2010)
Wissler, M., Mazza, E.: Modeling and simulation of dielectric elastomer actuators. Smart Mater Struct 14, 1396–1402 (2005)
Biggs, S.J., Hitchcock, R.N.: Artificial muscle actuators for haptic displays: system design to match the dynamics and tactile sensitivity of the human fingerpad. Proc SPIE 7642, 76420I (2010)
Li, T., Qu, S., Yang, W.: Electromechanical and dynamic analyses of tunable dielectric elastomer resonator. Int J Solids Struct 49, 3754–3761 (2012)
Li, T., Zou, Z., Mao, G., Qu, S.: Electromechanical bistable behavior of a novel dielectric elastomer actuator. J Appl Mech 81, 041019 (2014)
Sun, W., Liu, F., Ma, Z., Li, C., Zhou, J.: Soft mobile robots driven by foldable dielectric elastomer actuators. J Appl Phys 120, 084901 (2016)
Liu, L., Chen, H., Sheng, J., Zhang, J., Wang, Y., Jia, S.: Experimental study on the dynamic response of in-plane deformation of dielectric elastomer under alternating electric load. Smart Mater Struct 23, 025037 (2014)
Liu, L., Li, B., Sun, W., Chen, H., Li, D.: Viscoelastic effect and creep elimination of dielectric elastomers in adversarial resonance. J Appl Phys 120, 164502 (2016)
Zhou, J., Jiang, L., Khayat, R.E.: Viscoelastic effects on frequency tuning of a dielectric elastomer membrane resonator. J Appl Phys 115, 124106 (2014)
Zhang, J., Chen, H., Li, D.: Method to control dynamic snap-through instability of dielectric elastomers. Phys Rev Appl 6, 064012 (2016)
Eder-Goy, D., Zhao, Y., Xu, B.-X.: Dynamic pull-in instability of a prestretched viscous dielectric elastomer under electric loading. Acta Mech 228, 4293–4307 (2017)
Foo, C.C., Cai, S., Koh, S.J.A., Bauer, S., Suo, Z.: Model of dissipative dielectric elastomers. J Appl Phys 111, 034102 (2012)
Hong, W.: Modeling viscoelastic dielectrics. J Mech Phys Solids 59, 637–650 (2011)
Khan, K.A., Wafai, H., Sayed, T.E.: A variational constitutive framework for the nonlinear viscoelastic response of a dielectric elastomer. Comput Mech 52, 345–360 (2013)
Chen, X., Jiang, T., Wang, Z.L.: Modeling a dielectric elastomer as driven by triboelectric nanogenerator. Appl Phys Lett 110, 033505 (2017)
Kiser, J., Manning, M., Adler, D., Breuer, K.: A reduced order model for dielectric elastomer actuators over a range of frequencies and prestrains. Appl Phys Lett 109, 133506 (2016)
Zhang, J., Ru, J., Chen, H., Li, D., Lu, J.: Viscoelastic creep and relaxation of dielectric elastomers characterized by a Kelvin–Voigt–Maxwell model. Appl Phys Lett 110, 044104 (2017)
Silberstein, M.N., Boyce, M.C.: Constitutive modeling of the rate, temperature, and hydration dependent deformation response of Nafion to monotonic and cyclic loading. J Power Sources 195, 5692–5706 (2010)
Gent, A.N.: A new constitutive relation for rubber. Rubber Chem Technol 69, 59–61 (1996)
Dai, H.L., Wang, L.: Nonlinear oscillations of a dielectric elastomer membrane subjected to in-plane stretching. Nonlinear Dyn 82, 1709–1719 (2015)
Zhang, J., Zhao, J., Chen, H., Li, D.: Dynamic analyses of viscoelastic dielectric elastomers incorporating viscous damping effect. Smart Mater Struct 26, 015010 (2017)
Xu, B.-X., Mueller, R., Theis, A., Klassen, M., Gross, D.: Dynamic analysis of dielectric elastomer actuators. Appl Phys Lett 100, 112903 (2012)
Zhang, J., Chen, H., Li, D.: Nonlinear dynamical model of a soft viscoelastic dielectric elastomer. Phys Rev Appl 8, 064016 (2017)
Wang, H., Lei, M., Cai, S.: Viscoelastic deformation of a dielectric elastomer membrane subject to electromechanical loads. J Appl Phys 113, 213508 (2013)
Acknowledgements
This research was supported by the National Postdoctoral Program for Innovative Talents of China (Grant No. BX201600126) and the China Postdoctoral Science Foundation (Grant No. 2016M600783).
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Zhang, J., Chen, H. & Li, D. Pinnacle elimination and stability analyses in nonlinear oscillation of soft dielectric elastomer slide actuators. Nonlinear Dyn 94, 1907–1920 (2018). https://doi.org/10.1007/s11071-018-4464-y
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DOI: https://doi.org/10.1007/s11071-018-4464-y