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Investigating threshold escape behavior for the gimballed horizontal pendulum system

Publication ,  Journal Article
Sequeira, D; Little, J; Mann, BP
Published in: Journal of Sound and Vibration
June 23, 2019

This paper examines a gimballed horizontal pendulum for use as an energy harvester. It can be designed for threshold escape behavior rather than the conventional method of matching frequencies. A nonlinear electromechanical model is developed to study the system's equilibrium states as a function of tilt angle. Bifurcation diagrams and basins of attraction are generated to illustrate these equilibria and their associated stability. A static bifurcation point is solved for analytically and the implications for an energy harvester, one that can be designed to jump across stable attractors based on forcing amplitudes, are discussed. Amplitude sweeps are conducted showing a dynamic bifurcation point that varies as a function of frequency and effective damping. Experiments are run to validate computational results and the applications for energy harvesters are discussed.

Duke Scholars

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

June 23, 2019

Volume

450

Start / End Page

47 / 60

Related Subject Headings

  • Acoustics
  • 51 Physical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
 

Citation

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Sequeira, D., Little, J., & Mann, B. P. (2019). Investigating threshold escape behavior for the gimballed horizontal pendulum system. Journal of Sound and Vibration, 450, 47–60. https://doi.org/10.1016/j.jsv.2019.03.008
Sequeira, D., J. Little, and B. P. Mann. “Investigating threshold escape behavior for the gimballed horizontal pendulum system.” Journal of Sound and Vibration 450 (June 23, 2019): 47–60. https://doi.org/10.1016/j.jsv.2019.03.008.
Sequeira D, Little J, Mann BP. Investigating threshold escape behavior for the gimballed horizontal pendulum system. Journal of Sound and Vibration. 2019 Jun 23;450:47–60.
Sequeira, D., et al. “Investigating threshold escape behavior for the gimballed horizontal pendulum system.” Journal of Sound and Vibration, vol. 450, June 2019, pp. 47–60. Scopus, doi:10.1016/j.jsv.2019.03.008.
Sequeira D, Little J, Mann BP. Investigating threshold escape behavior for the gimballed horizontal pendulum system. Journal of Sound and Vibration. 2019 Jun 23;450:47–60.
Journal cover image

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

June 23, 2019

Volume

450

Start / End Page

47 / 60

Related Subject Headings

  • Acoustics
  • 51 Physical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences