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Discontinuous dynamical behaviors in a 2-DOF friction collision system with asymmetric damping
- Source :
- Chaos, Solitons & Fractals. 142:110405
- Publication Year :
- 2021
- Publisher :
- Elsevier BV, 2021.
-
Abstract
- By using the flow switchability theory in discontinuous dynamical systems, this paper deals with the discontinuous dynamical behaviors of a two degrees of freedom system with asymmetric damping, where considering that friction and impact coexist and the static and dynamic friction coefficients are different. Because of the particularity of friction force, the flow barriers on the velocity boundary that affect the leaving flow are considered in this paper. Based on discontinuity that is caused by the sudden change of friction force or the collision between two objects, the phase space of motion for the object is divided into several different domains and boundaries; and with the help of the analysis of vector fields and G-functions on the corresponding discontinuous boundaries or in domains, the analytical conditions for all possible motions are obtained, which is used to determine the switching of motion state in this system. Finally, numerical simulations are presented to better understand the analytical conditions of the stick, grazing, impact, stuck and periodic motions.
- Subjects :
- Physics
Dynamical systems theory
General Mathematics
Applied Mathematics
General Physics and Astronomy
Collision system
Statistical and Nonlinear Physics
Mechanics
Collision
01 natural sciences
010305 fluids & plasmas
Periodic function
Discontinuity (geotechnical engineering)
Phase space
0103 physical sciences
Vector field
Dynamical friction
010301 acoustics
Subjects
Details
- ISSN :
- 09600779
- Volume :
- 142
- Database :
- OpenAIRE
- Journal :
- Chaos, Solitons & Fractals
- Accession number :
- edsair.doi...........fbf287a99d68ee57905e7f79fa7dc5b4