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Bifurcation Analysis of Stick-Slip Motion of the Vibration-Driven System with Dry Friction
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-27
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper is concerned with the vibration-driven system which can move due to the periodic motion of the internal mass and the dry friction; the system can be modeled as Filippov system and has the property of stick-slip motion.
Different periodic solutions of stick-slip motion can be analyzed through sliding bifurcation, two-parameter numerical continuation for sliding bifurcation is carried out to get the different bifurcation curves, and the bifurcation curves divide the parameters plane into different regions which stand for different stick-slip motion of the periodic solution.
Furthermore, continuations with additional condition v=0 are carried out for the directional control of the vibration-driven system in one period; the curves divide the parameter plane into different progressions.
American Psychological Association (APA)
Li, Peng& Jiang, Ziwang. 2018. Bifurcation Analysis of Stick-Slip Motion of the Vibration-Driven System with Dry Friction. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1206134
Modern Language Association (MLA)
Li, Peng& Jiang, Ziwang. Bifurcation Analysis of Stick-Slip Motion of the Vibration-Driven System with Dry Friction. Mathematical Problems in Engineering No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1206134
American Medical Association (AMA)
Li, Peng& Jiang, Ziwang. Bifurcation Analysis of Stick-Slip Motion of the Vibration-Driven System with Dry Friction. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1206134
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1206134