Authors

G. Rizzello, D. Naso, S. Seelecke

Abstract

This paper presents a port-Hamiltonian modeling formulation for a Dielectric Elastomer membrane. The model relates electrical and mechanical inputs to corresponding conjugate outputs, allowing to simulate the membrane transducer in actuation and energy harvesting application. Starting from a nonlinear, physics-based model developed in the authors’ previous works, a suitable function is initially proposed to quantify the overall electro-mechanical energy in the system. Subsequently, a complete description in terms of Hamiltonian, dissipation function, and system matrices is provided. The port-Hamiltonian formalism permits to assess the thermodynamic consistency of the model, making it a reliable tool for the prediction of energetic performance in dynamic applications. Furthermore, it opens up the possibility of applying powerful nonlinear analysis and design tools.

Keywords

Dielectric Elastomers; Dielectric Electro-Active Polymers; Mechatronics; Cone Membrane; Physical models; Port-Hamiltonian; Passivity

Citation

  • Journal: IFAC-PapersOnLine
  • Year: 2017
  • Volume: 50
  • Issue: 1
  • Pages: 4855–4862
  • Publisher: Elsevier BV
  • DOI: 10.1016/j.ifacol.2017.08.974
  • Note: 20th IFAC World Congress

BibTeX

@article{Rizzello_2017,
  title={{A Thermodynamically Consistent Port-Hamiltonian Model for Dielectric Elastomer Membrane Actuators and Generators}},
  volume={50},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2017.08.974},
  number={1},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Rizzello, G. and Naso, D. and Seelecke, S.},
  year={2017},
  pages={4855--4862}
}

Download the bib file

References

  • Berselli, G., Vertechy, R., Babič, M. & Parenti Castelli, V. Dynamic modeling and experimental evaluation of a constant-force dielectric elastomer actuator. Journal of Intelligent Material Systems and Structures vol. 24 779–791 (2012) – 10.1177/1045389x12457251
  • Calchand, N., Hubert, A. & Le Gorrec, Y. Port hamiltonian modeling of MSMA based actuator: toward a thermodynamically consistent formulation. IFAC Proceedings Volumes vol. 45 260–264 (2012) – 10.3182/20120829-3-it-4022.00044
  • Carpi, F., Menon, C. & De Rossi, D. Electroactive Elastomeric Actuator for All-Polymer Linear Peristaltic Pumps. IEEE/ASME Transactions on Mechatronics vol. 15 460–470 (2010) – 10.1109/tmech.2009.2028884
  • Carpi, (2011)
  • Duindam, (2009)
  • Chiang Foo, C., Cai, S., Jin Adrian Koh, S., Bauer, S. & Suo, Z. Model of dissipative dielectric elastomers. Journal of Applied Physics vol. 111 (2012) – 10.1063/1.3680878
  • Hoffstadt, T. & Maas, J. Analytical modeling and optimization of DEAP-based multilayer stack-transducers. Smart Materials and Structures vol. 24 094001 (2015) – 10.1088/0964-1726/24/9/094001
  • Macchelli, A., van der Schaft, A. J. & Melchiorri, C. Multi-variable port Hamiltonian model of piezoelectric material. 2004 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) (IEEE Cat. No.04CH37566) vol. 1 897–90210.1109/iros.2004.1389466
  • Nishida, G., Takagi, K., Maschke, B. & Luo, Z. Multi-Scale Distributed Port-Hamiltonian Representation of Ionic Polymer-Metal Composite. IFAC Proceedings Volumes vol. 41 2300–2305 (2008) – 10.3182/20080706-5-kr-1001.00388
  • Pei, Q., Rosenthal, M. A., Pelrine, R., Stanford, S. & Kornbluh, R. D. Multifunctional electroelastomer roll actuators and their application for biomimetic walking robots. SPIE Proceedings vol. 5051 281 (2003) – 10.1117/12.484392
  • Rizzello, G., Hodgins, M., Naso, D., York, A. & Seelecke, S. Modeling of the effects of the electrical dynamics on the electromechanical response of a DEAP circular actuator with a mass–spring load. Smart Materials and Structures vol. 24 094003 (2015) – 10.1088/0964-1726/24/9/094003
  • Rizzello, G., Naso, D., York, A. & Seelecke, S. Modeling, Identification, and Control of a Dielectric Electro-Active Polymer Positioning System. IEEE Transactions on Control Systems Technology vol. 23 632–643 (2015) – 10.1109/tcst.2014.2338356
  • Rizzello, G., Naso, D., Turchiano, B. & Seelecke, S. Robust Position Control of Dielectric Elastomer Actuators Based on LMI Optimization. IEEE Transactions on Control Systems Technology vol. 24 1909–1921 (2016) – 10.1109/tcst.2016.2519839
  • Vertechy, R., Fontana, M., Rosati Papini, G. P. & Bergamasco, M. Oscillating-water-column wave-energy-converter based on dielectric elastomer generator. SPIE Proceedings (2013) doi:10.1117/12.2012016 – 10.1117/12.2012016
  • Wissler, M. & Mazza, E. Modeling of a pre-strained circular actuator made of dielectric elastomers. Sensors and Actuators A: Physical vol. 120 184–192 (2005) – 10.1016/j.sna.2004.11.015