WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 15, 2016
Analysis of Dynamical Behaviors of a Double Belt Friction-Oscillator Model
Authors: ,
Abstract: In this paper, analytical results of complex motions of a double belt friction-oscillator are investigated using the flow switchability theory of the discontinuous dynamical systems. The friction-oscillator is composed of a mass connected by viscoelastic element and linear spring-loading and interacting with two moving belts by means of dry friction. Different domains and boundaries for such system are defined according to the friction discontinuity, which exhibits multiple discontinuous boundaries in the phase space. The necessary and sufficient conditions of the stick motions, non-stick motions and grazing motions of such system are given in the form of theorem mathematically. The switching planes and basic mappings will be defined to study grazing motions and periodic motions. The results of computer simulation of the stick motions and grazing motions for different parameters are submitted in the present paper. With appropriate mapping structures, the simulation of the stick and non-stick periodic motions for such an oscillator are also given.
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Keywords: double belt friction-oscillator, discontinuous dynamical system, switchability, stick motion, grazing motion
Pages: 357-373
WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 15, 2016, Art. #34