In this paper, periodic motion in an oscillator moving on a periodically oscillating belt with dry friction is investigated. The conditions of stick and nonstick motions for such an oscillator are obtained in the relative motion frame, and the grazing and stick (or sliding) bifurcations are presented as well. The periodic motions are predicted analytically and numerically, and the analytical prediction is based on the appropriate mapping structures. The eigenvalue analysis of such periodic motions is carried out. The periodic motions are illustrated through the displacement, velocity, and force responses in the absolute and relative frames. This investigation provides an efficient method to predict periodic motions of such an oscillator involving dry friction. The significance of this investigation lies in controlling motion of such a friction-induced oscillator in industry.
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July 2006
Research Papers
Periodic Motions in a Periodically Forced Oscillator Moving on an Oscillating Belt With Dry Friction
Albert C.J. Luo
,
Albert C.J. Luo
Department of Mechanical and Industrial Engineering,
aluo@siue.edu
Southern Illinois University Edwardsville
, Edwardsville, IL 62026-1805
Search for other works by this author on:
Brandon C. Gegg
Brandon C. Gegg
Department of Mechanical and Industrial Engineering,
Southern Illinois University Edwardsville
, Edwardsville, IL 62026-1805
Search for other works by this author on:
Albert C.J. Luo
Department of Mechanical and Industrial Engineering,
Southern Illinois University Edwardsville
, Edwardsville, IL 62026-1805aluo@siue.edu
Brandon C. Gegg
Department of Mechanical and Industrial Engineering,
Southern Illinois University Edwardsville
, Edwardsville, IL 62026-1805J. Comput. Nonlinear Dynam. Jul 2006, 1(3): 212-220 (9 pages)
Published Online: March 22, 2006
Article history
Received:
June 27, 2005
Revised:
March 22, 2006
Citation
Luo, A. C., and Gegg, B. C. (March 22, 2006). "Periodic Motions in a Periodically Forced Oscillator Moving on an Oscillating Belt With Dry Friction." ASME. J. Comput. Nonlinear Dynam. July 2006; 1(3): 212–220. https://doi.org/10.1115/1.2198874
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