Journal
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
Volume 81, Issue -, Pages 35-42Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ymssp.2016.03.006
Keywords
Bursting oscillations; Low-frequency excitation; Rotating potential well; Duffing-type oscillators; Purely nonlinear oscillators
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Funding
- Provincial Ministry of Science and Technological Development, Autonomous Province of Vojvodina, Republic of Serbia [114-451-1020/2015]
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This study is concerned with certain mechanical systems that comprise discrete masses moving along slowly rotating objects. The corresponding equation of relative motion is derived, with the rotating motion creating slowly varying external excitation. Depending on the system parameters, two cases are distinguished: two-well and single-well potential, i.e. the Duffing bistable oscillator and a pure cubic oscillator. It is illustrated that both systems can exhibit bursting oscillations, consisting of fast oscillations around the slow flow. Their mechanisms are explained in terms of bifurcation theory: the first one with respect to the existence of certain saddle-node bifurcation points, and the second one by creation of a certain hysteresis loop. The exact expressions for the slow flow are derived, in the first case as a discontinuous curve, and in the second one as a continuous curve. The influence of the excitation magnitude, which is a potential control parameter, on the characteristics of bursting oscillations is numerically illustrated. (C) 2016 Elsevier Ltd. All rights reserved.
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