Abstract
Many of energy harvesting devices use piezoelectric elements to convert mechanical vibrations into usable electrical energy. The input excitation is usually assumed to be a deterministic harmonic wave, while in practical situations; the mechanical excitation of the media is a random signal. The objective of this research is to study the energy harvesting in piezoelectric devices using the random vibration theory. At the first step a lumped parameter physical model of the device is presented. A mathematical model is then developed by obtaining the normalized differential equations governing the voltage induced in the energy harvesting circuit as well as the length of the piezoelectric material. The random vibration theory is then utilized to derive analytical expressions for the statistical properties of the voltage, power and the length of the piezoelectric material in terms of the statistical properties of the excitation which is assumed to be a band limited white noise. It is shown that with proper selection of the system parameters, the expected value of the harvested power can be effectively maximized. The qualitative and quantitative knowledge resulting from this effort is expected to enable the analysis, optimization, and synthesis of piezoelectric energy harvesting devices.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Ando, B., Baglio, S., Maiorca, F., Trigona, C.: Analysis of two dimensional, wide band, bistable vibration energy harvester. Sensors Actuators. 202, 176–182 (2013)
Abdelkefi, A., Nayfeh, A.H., Hajj, M.R.: Effects of nonlinear piezoelectric coupling on energy harvesters under direct excitation. Nonlinear Dyn. 67, 1221–1232 (2012)
Sodano, H.A., Inman, D.J.: A review of power harvesting from vibration using piezoelectric materials. Shock Vib. Dig. 36, 197–205 (2004)
Abdelkefi, A., Nayfeh, A.H., Hajj, M.R.: Design of piezoaeroelastic energy harvesters. Nonlinear Dyn. 68, 519–530 (2012)
Abdelkefi, A., Nayfeh, A.H., Hajj, M.R.: Modeling and analysis of piezoaeroelastic energy harvesters. Nonlinear Dyn. 67, 925–939 (2012)
Abdelkefi, A., Nayfeh, A.H., Hajj, M.R.: Enhancement of power harvesting from piezoaeroelastic systems. Nonlinear Dyn. 68, 531–541 (2012)
Li, W., Liu, T.S., Hsiao, C.C.: A miniature generator using piezoelectric bender with elastic base. Mechatronics. 21, 1183–1189 (2011)
Junior, C.D.M., Erturk, A., Inman, D.J.: An electromechanical finite element model for piezoelectric energy harvester plates. J. Sound Vib. 327, 9–25 (2009)
Abdelkefi, A., Najar, F., Nayfeh, A.H., Ayed, S.B.: An energy harvester using piezoelectric cantilever beams undergoing coupled bending–torsion vibrations. Smart Mater. Struct. 20, 1–11 (2011)
Cryns, J.W., Hatchell, B.K., Rojas, E.S., Silvers, K.L.: Experimental analysis of a piezoelectric energy harvesting system for harmonic, random, and sine on random vibration. Adv. Acoust. Vib. 2013, 1–12 (2013)
Roundy, S., Wright, P.K., Rabaey, J.: A study of low level vibrations as a power source for wireless sensor nodes. Comput. Commun. 26, 1131–1144 (2003)
duToit, N.E., Wardle, B.L., Kim, S.G.: Design considerations for MEMS-scale piezoelectric mechanical vibration energy harvesters. Integr. Ferroelectr. 71, 121–160 (2005)
Newland, D.E.: An Introduction to Random Vibrations and Spectral Analysis, 2nd edn. Longman Scientific & Technical, New York (1984)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 The Society for Experimental Mechanics, Inc.
About this paper
Cite this paper
Moeenfard, H., Khadembashi, M., Ghasemi, A.H., Baqersad, J. (2017). Logic Analytical Modeling of Piezoelectric Energy Harvesters under Random Base Excitation. In: Harvie, J., Baqersad, J. (eds) Shock & Vibration, Aircraft/Aerospace, Energy Harvesting, Acoustics & Optics, Volume 9. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-54735-0_25
Download citation
DOI: https://doi.org/10.1007/978-3-319-54735-0_25
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-54734-3
Online ISBN: 978-3-319-54735-0
eBook Packages: EngineeringEngineering (R0)