Analysis of discontinuous dynamical behaviors of a friction-induced oscillator with an elliptic control law
type: Item
instance of: scholarly article
title: Analysis of discontinuous dynamical behaviors of a friction-induced oscillator with an elliptic control law
zbMATH Open document ID: 1427.70037
DOI: 10.1155/2018/5301747
author: Jinjun Fan
author: Ping Liu
author: Tianyi Liu
author: Shan Xue
author: Zhaoxia Yang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper develops the passability conditions of flow to the discontinuous boundary and the sticking or sliding and grazing conditions to the separation boundary in the discontinuous dynamical system of a friction-induced oscillator with an elliptic control law and the friction force acting on the mass \(M\) through the analysis of the corresponding vector fields and \(G\)-functions. The periodic motions of such a discontinuous system are predicted analytically through the mapping structure. Finally, the numerical simulations are given to illustrate the analytical results of motion for a better understanding of physics of motion in the mass-spring-damper oscillator.
Mathematics Subject Classification ID: 70F40
Mathematics Subject Classification ID: 34A36
Mathematics Subject Classification ID: 34C15
zbMATH DE Number: 7019112
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5301747
OpenAlex ID: W2799308947
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description: scientific article; zbMATH DE number 7019112