Abstract
Electromechanical equivalent circuits can be used to model the dynamics of piezoelectric systems. In the following, they will be applied for the modeling of piezoelectric bending generators for energy harvesting. Therefore, the basic analogies between electrical and mechanical systems will be discussed and a simple piezoelectric equivalent circuit model for a system which can be described by a single mechanical modal coordinate will be derived. In a next step, an experimentally based method for the determination of the model parameters will be presented. The modeling of additional mechanical degrees of freedom as well as the modeling of force and kinematic base excitation will also be addressed.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ballas, R.G. (2007) Piezoelectric Multilayer Beam Bending Actuators: Static and Dynamic Behavior and Aspects of Sensor Integration. Springer, Berlin Heidelberg
Ballato and Smits (1994) Dynamic Admittance Matrix of Piezoelectric Cantilever Bimorphs. In: Journal of Microelectromechanical Systems, Vol. 3, No. 3, pp. 105–112
Cady, W.G. (1922) The piezo-electric resonator. In: Proceedings of the Institute of Radio Engineers, Vol. 10, pp. 83–114
IEEE Std 176–1978 (1978) IEEE Standard on Piezoelectricity. The Institute of Electric and Electronic Engineers
Król, R. Mracek, M. and Redenius, A. (2005) Eine Methodik zur Ableitung einfacher Ersatzmodelle zur automatischen Konfigurierung piezoelektrischer Antriebe mittels der Finite Elementen Methode. In: VDI-Berichte 1892: Mechatronik 2005 Innovative Produktentwicklung, Band 1, S. 137–152. VDI Verlag, Düsseldorf
Lenk, A. (1977) Elektromechanische Systeme. Band 2: Systeme mit verteilten Parametern. VEB Verlag Technik, Berlin
Mason, W.P. (1935) An electromechanical representation of a piezoelectric crystal used as a transducer. In: Proceedings of the Institute of Radio Engineers, Vol. 23, 10, pp. 1252–1263
Piefort, V. (2001) Finite Element Modelling of Piezoelectric Active Structures. PhD-Thesis, Université Libre de Bruxelles.
Richter, B. and Twiefel, J. (2007) On the need of modeling the interdependence between piezoelectric generators and their environmental excitation source. In: Fu-Kuo Chang (ed.) Structural Health Monitoring 2007: Quantification, validation and Implementation. DEStech Publications Inc., Palo Alto, pp. 1749–1756
Richter, B. Twiefel, J. Hemsel, T. and Wallaschek, J. (2006) Model based Design of Piezoelectric Generators utilizing Geometrical and Material Properties. In: 2006 ASME Intl. Eng. Congress and Exposition
Tokin Corp. (1987) Piezo-Electric Bimorph Element. Patent JP63268279A invented by Tamura Mitsuo
Van Dyke, K.S. (1925) The electric network equivalents of a piezoelectric resonator. In: Physical Review. American Institute of Physics. Vol. 25, 895A
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Richter, B., Twiefel, J., Wallaschek, J. (2009). Piezoelectric Equivalent Circuit Models. In: Priya, S., Inman, D.J. (eds) Energy Harvesting Technologies. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-76464-1_4
Download citation
DOI: https://doi.org/10.1007/978-0-387-76464-1_4
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-76463-4
Online ISBN: 978-0-387-76464-1
eBook Packages: EngineeringEngineering (R0)