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Nonlinear piezoelectricity in electroelastic energy harvesters: Modeling and experimental identification
Abstract
We propose and experimentally validate a first-principles based model for the nonlinear
piezoelectric response of an electroelastic energy harvester. The analysis herein
highlights the importance of modeling inherent piezoelectric nonlinearities that are
not limited to higher order elastic effects but also include nonlinear coupling to
a power harvesting circuit. Furthermore, a nonlinear damping mechanism is shown to
accurately restrict the amplitude and bandwidth of the frequency response. The linear
piezoelectric modeling framework widely accepted for theoretical investigations is
demonstrated to be a weak presumption for near-resonant excitation amplitudes as low
as 0.5 g in a prefabricated bimorph whose oscillation amplitudes remain geometrically
linear for the full range of experimental tests performed (never exceeding 0.25% of
the cantilever overhang length). Nonlinear coefficients are identified via a nonlinear
least-squares optimization algorithm that utilizes an approximate analytic solution
obtained by the method of harmonic balance. For lead zirconate titanate (PZT-5H),
we obtained a fourth order elastic tensor component of c1111p =-3.6673× 1017 N/m2
and a fourth order electroelastic tensor value of e3111 =1.7212× 108 m/V. © 2010 American
Institute of Physics.
Type
Journal articlePermalink
https://hdl.handle.net/10161/3366Published Version (Please cite this version)
10.1063/1.3486519Publication Info
Stanton, SC; Erturk, A; Mann, BP; & Inman, DJ (2010). Nonlinear piezoelectricity in electroelastic energy harvesters: Modeling and experimental
identification. Journal of Applied Physics, 108(7). pp. 74903. 10.1063/1.3486519. Retrieved from https://hdl.handle.net/10161/3366.This is constructed from limited available data and may be imprecise. To cite this
article, please review & use the official citation provided by the journal.
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Brian Mann
Professor in the Thomas Lord Department of Mechanical Engineering and Materials Science

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