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Dynamics of a Rocking Horizontal Pendulum Under High Frequency Excitation

[+] Author Affiliations
Si Mohamed Sah, Clark McGehee, Brian P. Mann

Duke University, Durham, NC

Paper No. DETC2012-70877, pp. 1045-1052; 8 pages
doi:10.1115/DETC2012-70877
From:
  • ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 1: 24th Conference on Mechanical Vibration and Noise, Parts A and B
  • Chicago, Illinois, USA, August 12–15, 2012
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-4500-4
  • Copyright © 2012 by ASME

abstract

In this work, we investigate the effect of high frequency excitation on a pendulum positioned at a given distance from a tilted platform. The tilted platform is subjected to high frequency excitation. The method of direct partition of motion is applied to the governing equation to obtain the slow dynamic equation. It is shown that two stable equilibria may coexist for certain parameter values. The analytical results are in a good agreement with the numerical investigations.

Copyright © 2012 by ASME

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