On dynamical behavior of a friction-induced oscillator with 2-DOF on a speed-varying traveling belt
type: Item
instance of: scholarly article
title: On dynamical behavior of a friction-induced oscillator with 2-DOF on a speed-varying traveling belt
zbMATH Open document ID: 1426.70020
DOI: 10.1155/2017/1208563
author: Jinjun Fan
author: Shuangshuang Li
author: Ge Chen
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: The dynamical behavior of a friction-induced oscillator with 2-DOF on a speed-varying belt is investigated by using the flow switchability theory of discontinuous dynamical systems. The mechanical model consists of two masses and a speed-varying traveling belt. Both of the masses on the traveling belt are connected with three linear springs and three dampers and are harmonically excited. Different domains and boundaries for such system are defined according to the friction discontinuity. Based on the above domains and boundaries, the analytical conditions of the passable motions, stick motions, and grazing motions for the friction-induced oscillator are obtained mathematically. An analytical prediction of periodic motions is performed through the mapping dynamics. With appropriate mapping structure, the simulations of the stick and nonstick motions in the two-degree friction-induced oscillator are illustrated for a better understanding of the motion complexity.
Mathematics Subject Classification ID: 70F40
Mathematics Subject Classification ID: 34C15
zbMATH DE Number: 6971709
MaRDI profile type: Publication
Wikidata QID: Q59147205
full work available at URL: https://doi.org/10.1155/2017/1208563
OpenAlex ID: W2583127748
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description: scientific article; zbMATH DE number 6971709