000014998 001__ 14998
000014998 005__ 20161115100208.0
000014998 04107 $$aeng
000014998 046__ $$k2016-08-21
000014998 100__ $$aCao, Qingjie
000014998 24500 $$aDynamical Behaviours of an Archetypal Self-excited SD Oscillator

000014998 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014998 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014998 506__ $$arestricted
000014998 520__ $$2eng$$aIn this paper, we propose an archetypal self-excited smooth and discontinuous oscillator, which is constructed with the smooth and discontinuous (SD) oscillator and the classical moving belt. Phase portraits are depicted to present the hyperbolic structure transition, multiple stick regions and the friction-induced asymmetry phenomena. Chaotic thresholds of the perturbed self-excited SD oscillator are derived by using the Melnikov’s method. The numerical simulations are carried out to demonstrate the friction-induced vibration of multiple stick-slip phenomena and the stick-slip chaos for the perturbed self-excited system.

000014998 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014998 653__ $$a

000014998 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014998 720__ $$aCao, Qingjie
000014998 8560_ $$ffischerc@itam.cas.cz
000014998 8564_ $$s231016$$uhttps://invenio.itam.cas.cz/record/14998/files/TS.MS04-4.05.pdf$$yOriginal version of the author's contribution as presented on CD,  page 142, code TS.MS04-4.05
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000014998 962__ $$r13812
000014998 980__ $$aPAPER