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Nonlinear piezoelectricity in electroelastic energy harvesters: Modeling and experimental identification

Publication ,  Journal Article
Stanton, SC; Erturk, A; Mann, BP; Inman, DJ
Published in: Journal of Applied Physics
October 1, 2010

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.

Duke Scholars

Published In

Journal of Applied Physics

DOI

ISSN

0021-8979

Publication Date

October 1, 2010

Volume

108

Issue

7

Related Subject Headings

  • Applied Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Stanton, S. C., Erturk, A., Mann, B. P., & Inman, D. J. (2010). Nonlinear piezoelectricity in electroelastic energy harvesters: Modeling and experimental identification. Journal of Applied Physics, 108(7). https://doi.org/10.1063/1.3486519
Stanton, S. C., A. Erturk, B. P. Mann, and D. J. Inman. “Nonlinear piezoelectricity in electroelastic energy harvesters: Modeling and experimental identification.” Journal of Applied Physics 108, no. 7 (October 1, 2010). https://doi.org/10.1063/1.3486519.
Stanton SC, Erturk A, Mann BP, Inman DJ. Nonlinear piezoelectricity in electroelastic energy harvesters: Modeling and experimental identification. Journal of Applied Physics. 2010 Oct 1;108(7).
Stanton, S. C., et al. “Nonlinear piezoelectricity in electroelastic energy harvesters: Modeling and experimental identification.” Journal of Applied Physics, vol. 108, no. 7, Oct. 2010. Scopus, doi:10.1063/1.3486519.
Stanton SC, Erturk A, Mann BP, Inman DJ. Nonlinear piezoelectricity in electroelastic energy harvesters: Modeling and experimental identification. Journal of Applied Physics. 2010 Oct 1;108(7).
Journal cover image

Published In

Journal of Applied Physics

DOI

ISSN

0021-8979

Publication Date

October 1, 2010

Volume

108

Issue

7

Related Subject Headings

  • Applied Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences