Skip to main content
SpringerLink
Log in

Dynamic performance of dissipative dielectric elastomers under alternating mechanical load

  • Published:
Applied Physics A Aims and scope Submit manuscript

Abstract

This paper presents a theoretical study about the effect of dissipation on the dynamic performance of a dielectric elastomer membrane subject to a combination of mechanical load and voltage. The thermodynamic dissipative model is given and the equation of motion is deduced by a free energy method. It is found that when the applied mechanical load and voltage are static, the membrane may reach a state of equilibrium after the viscoelastic relaxation. When the voltage is static but the mechanical load is sinusoidal, the membrane will resonate at multiple frequencies. The study result indicates that the viscoelasticity can reduce the natural frequency and increase the mean stretch of the dielectric elastomer. After the power source is cut off, the effect of current leakage on dynamic performance under alternating mechanical load is that the natural frequency increases and the mean stretch reduces.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  1. R. Pelrine, R. Kornbluh, Q.B. Pei, J. Joseph, Science 287, 836 (2000)

    Article  ADS  Google Scholar 

  2. M. Wissler, E. Mazza, Sens. Actuators A 138, 384 (2007)

    Article  Google Scholar 

  3. G. Kofod, W. Wirges, M. Paajanen, S. Bauer, Appl. Phys. Lett. 90, 081916 (2007)

    Article  ADS  Google Scholar 

  4. Z.G. Suo, Acta. Mech. Solida. Sin. 23, 549 (2010)

    Article  Google Scholar 

  5. N. Galler, N. Ditlbacher, B. Steinberger, A. Hohenau, M. Dansachmüller, F. Camacho-Gonzales, S. Bauer, J.R. Krenn, A. Leitner, F.R. Aussenegg, Appl. Phys. B 85, 7 (2006)

    Article  ADS  Google Scholar 

  6. G. Kofod, M. Paajanen, S. Bauer, Appl. Phys. A 85, 141 (2006)

    Article  ADS  Google Scholar 

  7. G. Kovacs, L. Düring, S. Michel, G. Terrasi, Sens. Actuators A 155, 299 (2009)

    Article  Google Scholar 

  8. W.P. Yang, L.Y. Wu, L.W. Chen, J. Phys. D Appl. Phys. 41, 135408 (2008)

    Article  ADS  Google Scholar 

  9. P. Brochu, Q. Pei, Macromol. Rapid Commun. 31, 10 (2010)

    Article  Google Scholar 

  10. T. McKay, B. O’Brien, E. Calius, I. Anderson, Smart Mater. Struct. 19, 055025 (2010)

    Article  ADS  Google Scholar 

  11. N. Bonwit, J. Heim, M. Rosenthal, C. Duncheon, A. Beavers, Proc. SPIE 6168, 616805 (2006)

    Article  Google Scholar 

  12. J.W. Fox, N.C. Goulbourne, J. Mech. Phys. Solids 57, 1417 (2009)

    Article  ADS  MATH  Google Scholar 

  13. A. York, J. Dunn, S. Seelecke, Smart Mater. Struct. 19, 094014 (2010)

    Article  ADS  Google Scholar 

  14. E.M. Mockensturm, N.C. Goulbourne, Int. J. Nonlinear Mech. 41, 388 (2006)

    Article  ADS  Google Scholar 

  15. F. Carpi, S. Bauer, D. De Rossi, Science 330, 1759 (2010)

    Article  ADS  Google Scholar 

  16. K. Hochradel, S.J. Rupitsch, A. Sutor, R. Lerch, D.K. Vu, P. Steinmann, Appl. Phys. A 107, 531 (2012)

    Article  ADS  Google Scholar 

  17. P. Dubois, S. Rosset, M. Niklaus, M. Dadras, H. Shea, J. Microelectromech. Syst. 17, 1072 (2008)

    Article  Google Scholar 

  18. J. Zhu, S.Q. Cai, Z.G. Suo, Polym. Int. 59, 378 (2010)

    Article  Google Scholar 

  19. T.F. Li, S.X. Qu, W. Yang, Int. J. solid struct. 49, 3754 (2012)

    Article  Google Scholar 

  20. H.D. Yong, X.Z. He, Y.H. Zhou, Int. J. Eng. Sci. 49, 792 (2011)

    Article  Google Scholar 

  21. G.G. Raju, Dielectrics in Electric Fields (Marcel Dekker, New York, 2003)

    Book  Google Scholar 

  22. A.R. Blythe, D. Bloor, Electrical Properties of Polymers (Cambridge University Press, Cambridge, 2005)

    Google Scholar 

  23. D. Rychkov, M. Dansachmuller, H. Ragusch, A. Becker, G. Kofod, 10th IEEE International Conference on Solid Dielectrics (ICSD) (2010). doi:10.1109/ICSD.2010.5568252

  24. R. Kaltseis, C. Keplinger, R. Baumgartner, M. Kaltenbrunner, T. Li, P. Mächler, R. Schwödiauer, Z. Suo, S. Bauer, Appl. Phys. Lett. 99, 162904 (2011)

    Article  ADS  Google Scholar 

  25. C. Keplinger, M. Kaltenbrunner, N. Arnold, S. Bauer, Appl. Phys. Lett. 92, 192903 (2008)

    Article  ADS  Google Scholar 

  26. T.A. Gisby, S.Q. Xie, E.P. Calius, I.A. Anderson, Proc. SPIE 7642, 764213 (2010)

    Article  Google Scholar 

  27. C.C. Foo, S.Q. Cai, S.J.A. Koh, S. Bauer, Z.G. Suo, J. Appl. Phys. 111, 034102 (2012)

    Article  ADS  Google Scholar 

  28. C.C. Foo, S.J.A. Koh, C. Keplinger, R. Kaltseis, S. Bauer, Z.G. Suo, J. Appl. Phys. 111, 094107 (2012)

    Article  ADS  Google Scholar 

  29. B. Li, H. Chen, J. Zhou, Appl. Phys. A 110, 59 (2013)

    Google Scholar 

  30. W. Hong, J. Mech. Phys. Solids 59, 637 (2011)

    Google Scholar 

  31. B. Li, H. Chen, J. Qiang, J. Sheng, J. Zhou, Proc. SPIE 8687, 86872T (2013)

  32. Y. Wang, H. Xue, H. Chen, J. Qiang, Appl. Phys. A 112, 339 (2013)

    Article  ADS  Google Scholar 

  33. M.N. Silberstein, M.C. Boyce, J. Power Sour. 195, 5692 (2010)

    Article  Google Scholar 

  34. M. Wissler, E. Mazza, Sens. Actuators A 134, 494 (2007)

    Article  Google Scholar 

  35. S. Michel, X.Q. Zhang, M. Wissler, C. Löwe, G. Kovacs, Polym. Int. 59, 391 (2010)

    Article  Google Scholar 

  36. L. Di Lillo, A. Schmidt, D.A. Carnelli, P. Ermanni, G. Kovacs, E. Mazza, A. Bergamini, J. Appl. Phys. 111, 024904 (2012)

    Article  ADS  Google Scholar 

  37. B. Li, J. Zhou, H. Chen, Appl. Phys. Lett. 99, 244101 (2011)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This research has been supported by the Doctoral Fund of Ministry of Education of China (Grant No. 20120201110030) and Major Program of National Natural Science Foundation of China (51290294).

Author information

Authors and Affiliations

  1. State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an, 710049, Shaanxi, People’s Republic of China

    Junshi Zhang, Hualing Chen, Junjie Sheng & Lei Liu

  2. School of Aerospace, Xi’an Jiaotong University, Xi’an, 710049, Shaanxi, People’s Republic of China

    Junshi Zhang

  3. School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an, 710049, Shaanxi, People’s Republic of China

    Hualing Chen, Junjie Sheng, Lei Liu, Yongquan Wang & Shuhai Jia

Authors
  1. Junshi Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hualing Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Junjie Sheng
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Lei Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Yongquan Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Shuhai Jia
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hualing Chen.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhang, J., Chen, H., Sheng, J. et al. Dynamic performance of dissipative dielectric elastomers under alternating mechanical load. Appl. Phys. A 116, 59–67 (2014). https://doi.org/10.1007/s00339-013-8092-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00339-013-8092-6

Keywords

Search

Navigation