Nonsmooth Behavior of Sliding Bifurcations in a General Piecewise Smooth Rotor/Stator Rubbing System

DOI10.1142/S0218127421500851zbMath1482.74094OpenAlexW3135383537MaRDI QIDQ5854891

Shunzeng Wang, Jun Jiang, Ling Hong

Publication date: 12 March 2021

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127421500851

zbMATH Keywords

piecewise smooth systemsliding bifurcationextended state spacenonsmooth dynamical systemdry friction backward whirlstick-slip oscillation

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Dynamical systems in solid mechanics (37N15) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Cites Work

• Unnamed Item
• Sliding bifurcations and chaos induced by dry friction in a braking system
• Determination of the global response characteristics of a piecewise smooth dynamical system with contact
• On the structure of C-bifurcation boundaries of piecewise continuous systems
• Sliding modes in control and optimization. Transl. from the Russian
• Piecewise-smooth dynamical systems. Theory and applications
• Discontinuity-induced bifurcations of piecewise smooth dynamical systems
• DETERMINING THE CHARACTERISTICS OF A SELF-EXCITED OSCILLATION IN ROTOR/STATOR SYSTEMS FROM THE INTERACTION OF LINEAR AND NONLINEAR NORMAL MODES
• The Geometry of Generic Sliding Bifurcations
• TWO-PARAMETER DISCONTINUITY-INDUCED BIFURCATIONS OF LIMIT CYCLES: CLASSIFICATION AND OPEN PROBLEMS
• An event-driven method to simulate Filippov systems with accurate computing of sliding motions
• Bursting Oscillations and the Mechanism with Sliding Bifurcations in a Filippov Dynamical System
• One-Parameter Bifurcations in Planar Filippov Systems
• SLIDING BIFURCATIONS: A NOVEL MECHANISM FOR THE SUDDEN ONSET OF CHAOS IN DRY FRICTION OSCILLATORS
• Explanation of the onset of bouncing cycles in isotropic rotor dynamics; a grazing bifurcation analysis
• On Discontinuous Dynamics of a Freight Train Suspension System
• Experimental investigation on the avoidance of self-excited vibrations