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Journal of Vibration and Control
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On the OGY Control of an Impact-Friction Oscillator

C.J. Begley

School of Engineering and Center for Nonlinear and Complex Systems, Duke University, Durham, NC 27708-0300, USA

L.N. Virgin

School of Engineering and Center for Nonlinear and Complex Systems, Duke University, Durham, NC 27708-0300, USA

An earlier paper by the same authors examined the dynamic behavior of an impact-friction oscil lator. It was shown that a variety of highly complex behavior was possible including chaos, and the results of numerical simulation were verified experimentally Because friction is so common in mechanical applica tions and has a relatively profound effect on behavior, it is logical to consider whether friction forces can be used to advantage in such engineering systems. The Ott-Grebogi-Yorke (OGY) method is used here to control the impact oscillator using friction force as the control parameter.

Key Words: Chaos • control • impact • friction

Journal of Vibration and Control, Vol. 7, No. 6, 923-931 (2001)
DOI: 10.1177/107754630100700609
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