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Dynamics of a horizontal pendulum driven by high-frequency rocking

Publication ,  Journal Article
Mohamed Sah, S; McGehee, CC; Mann, BP
Published in: Journal of Sound and Vibration
August 9, 2013

This paper investigates the dynamics of a horizontal pendulum subjected to high frequency rocking. The method of direct partition of motion is applied to the governing equation to separate the fast and slow dynamics. It is shown that two stable equilibria may coexist for certain parameter values. It is also shown that the high frequency excitation can stabilize an unstable equilibrium for a horizontal pendulum driven by a rocking motion. The aforementioned theoretical results show good agreement with numerical investigations. A series of experimental tests were also performed to corroborate the bifurcation threshold where forcing parameters can cause a change in stability. © 2013 Elsevier Ltd.

Duke Scholars

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

August 9, 2013

Volume

332

Issue

24

Start / End Page

6505 / 6518

Related Subject Headings

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

Citation

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ICMJE
MLA
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Mohamed Sah, S., McGehee, C. C., & Mann, B. P. (2013). Dynamics of a horizontal pendulum driven by high-frequency rocking. Journal of Sound and Vibration, 332(24), 6505–6518. https://doi.org/10.1016/j.jsv.2013.07.015
Mohamed Sah, S., C. C. McGehee, and B. P. Mann. “Dynamics of a horizontal pendulum driven by high-frequency rocking.” Journal of Sound and Vibration 332, no. 24 (August 9, 2013): 6505–18. https://doi.org/10.1016/j.jsv.2013.07.015.
Mohamed Sah S, McGehee CC, Mann BP. Dynamics of a horizontal pendulum driven by high-frequency rocking. Journal of Sound and Vibration. 2013 Aug 9;332(24):6505–18.
Mohamed Sah, S., et al. “Dynamics of a horizontal pendulum driven by high-frequency rocking.” Journal of Sound and Vibration, vol. 332, no. 24, Aug. 2013, pp. 6505–18. Scopus, doi:10.1016/j.jsv.2013.07.015.
Mohamed Sah S, McGehee CC, Mann BP. Dynamics of a horizontal pendulum driven by high-frequency rocking. Journal of Sound and Vibration. 2013 Aug 9;332(24):6505–6518.
Journal cover image

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

August 9, 2013

Volume

332

Issue

24

Start / End Page

6505 / 6518

Related Subject Headings

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