The effect of a fast harmonic base displacement and of a fast periodically time varying stiffness on vibroimpact dynamics of a forced single-sided Hertzian contact oscillator is investigated analytically and numerically near sub- and superharmonic resonances of order 2. The study is carried out using averaging procedure over the fast dynamic and applying a perturbation analysis on the slow dynamic. The results show that a fast harmonic base displacement shifts the location of jumps, triggering the vibroimpact response, toward lower frequencies, while a fast periodically time-varying stiffness shifts the jumps toward higher frequencies. This result has been confirmed numerically for both sub- and superharmonic resonances of order 2. It is also demonstrated that the shift toward higher frequencies produced by a fast harmonic parametric stiffness is larger than that induced by a fast base displacement.
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January 2012
Research Papers
Control of a Forced Impacting Hertzian Contact Oscillator Near Sub- and Superharmonic Resonances of Order 2 Available to Purchase
Amine Bichri,
Amine Bichri
University Hassan II-Casablanca
, Laboratory of Mechanics, Casablanca, Morocco
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Mohamed Belhaq
Mohamed Belhaq
University Hassan II-Casablanca
, Laboratory of Mechanics, Casablanca, Morocco
Search for other works by this author on:
Amine Bichri
University Hassan II-Casablanca
, Laboratory of Mechanics, Casablanca, Morocco
Mohamed Belhaq
University Hassan II-Casablanca
, Laboratory of Mechanics, Casablanca, Morocco
J. Comput. Nonlinear Dynam. Jan 2012, 7(1): 011003 (7 pages)
Published Online: July 22, 2011
Article history
Received:
March 13, 2011
Accepted:
May 23, 2011
Online:
July 22, 2011
Published:
July 22, 2011
Citation
Bichri, A., and Belhaq, M. (July 22, 2011). "Control of a Forced Impacting Hertzian Contact Oscillator Near Sub- and Superharmonic Resonances of Order 2." ASME. J. Comput. Nonlinear Dynam. January 2012; 7(1): 011003. https://doi.org/10.1115/1.4004309
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