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Nonlinear nonconservative behavior and modeling of piezoelectric energy harvesters including proof mass effects

Publication ,  Journal Article
Stanton, SC; Erturk, A; Mann, BP; Dowell, EH; Inman, DJ
Published in: Journal of Intelligent Material Systems and Structures
January 1, 2012

Nonlinear piezoelectric effects in flexural energy harvesters have recently been demonstrated for drive amplitudes well within the scope of anticipated vibration environments for power generation. In addition to strong softening effects, steady-state oscillations are highly damped as well. Nonlinear fluid damping was previously employed to successfully model drive dependent decreases in frequency response due to the high-velocity oscillations, but this article instead harmonizes with a body of literature concerning weakly excited piezoelectric actuators by modeling nonlinear damping with nonconservative piezoelectric constitutive relations. Thus, material damping is presumed dominant over losses due to fluid-structure interactions. Cantilevers consisted of lead zirconate titanate (PZT)-5A and PZT-5H are studied, and the addition of successively larger proof masses is shown to precipitate nonlinear resonances at much lower base excitation thresholds while increasing the influence of higher-order nonlinearities. Parameter identification results using a multiple scales perturbation solution suggest that empirical trends are primarily due to higher-order elastic and dissipation nonlinearities and that modeling linear electromechanical coupling is sufficient. This article concludes with the guidelines for which utilization of a nonlinear model is preferred. © SAGE Publications 2011.

Duke Scholars

Published In

Journal of Intelligent Material Systems and Structures

DOI

EISSN

1530-8138

ISSN

1045-389X

Publication Date

January 1, 2012

Volume

23

Issue

2

Start / End Page

183 / 199

Related Subject Headings

  • Materials
  • 40 Engineering
  • 09 Engineering
 

Citation

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Stanton, S. C., Erturk, A., Mann, B. P., Dowell, E. H., & Inman, D. J. (2012). Nonlinear nonconservative behavior and modeling of piezoelectric energy harvesters including proof mass effects. Journal of Intelligent Material Systems and Structures, 23(2), 183–199. https://doi.org/10.1177/1045389X11432656
Stanton, S. C., A. Erturk, B. P. Mann, E. H. Dowell, and D. J. Inman. “Nonlinear nonconservative behavior and modeling of piezoelectric energy harvesters including proof mass effects.” Journal of Intelligent Material Systems and Structures 23, no. 2 (January 1, 2012): 183–99. https://doi.org/10.1177/1045389X11432656.
Stanton SC, Erturk A, Mann BP, Dowell EH, Inman DJ. Nonlinear nonconservative behavior and modeling of piezoelectric energy harvesters including proof mass effects. Journal of Intelligent Material Systems and Structures. 2012 Jan 1;23(2):183–99.
Stanton, S. C., et al. “Nonlinear nonconservative behavior and modeling of piezoelectric energy harvesters including proof mass effects.” Journal of Intelligent Material Systems and Structures, vol. 23, no. 2, Jan. 2012, pp. 183–99. Scopus, doi:10.1177/1045389X11432656.
Stanton SC, Erturk A, Mann BP, Dowell EH, Inman DJ. Nonlinear nonconservative behavior and modeling of piezoelectric energy harvesters including proof mass effects. Journal of Intelligent Material Systems and Structures. 2012 Jan 1;23(2):183–199.
Journal cover image

Published In

Journal of Intelligent Material Systems and Structures

DOI

EISSN

1530-8138

ISSN

1045-389X

Publication Date

January 1, 2012

Volume

23

Issue

2

Start / End Page

183 / 199

Related Subject Headings

  • Materials
  • 40 Engineering
  • 09 Engineering