Analysis of Discontinuous Dynamical Behaviors of a Friction-Induced Oscillator with an Elliptic Control Law
Joint Authors
Fan, Jinjun
Liu, Ping
Liu, Tianyi
Xue, Shan
Yang, Zhaoxia
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-33, 33 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-08
Country of Publication
Egypt
No. of Pages
33
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Fan, Jinjun& Liu, Ping& Liu, Tianyi& Xue, Shan& Yang, Zhaoxia. 2018. Analysis of Discontinuous Dynamical Behaviors of a Friction-Induced Oscillator with an Elliptic Control Law. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-33.
https://search.emarefa.net/detail/BIM-1207897
Modern Language Association (MLA)
Fan, Jinjun…[et al.]. Analysis of Discontinuous Dynamical Behaviors of a Friction-Induced Oscillator with an Elliptic Control Law. Mathematical Problems in Engineering No. 2018 (2018), pp.1-33.
https://search.emarefa.net/detail/BIM-1207897
American Medical Association (AMA)
Fan, Jinjun& Liu, Ping& Liu, Tianyi& Xue, Shan& Yang, Zhaoxia. Analysis of Discontinuous Dynamical Behaviors of a Friction-Induced Oscillator with an Elliptic Control Law. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-33.
https://search.emarefa.net/detail/BIM-1207897
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207897