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Friction-induced vibration and stick-slip waves
- Source :
- European Journal of Computational Mechanics. 20:167-188
- Publication Year :
- 2011
- Publisher :
- River Publishers, 2011.
-
Abstract
- This paper presents a short review and new results about the self-excited responses under the form of stick-slip regimes. First, the Van-der Pol oscillator with one degree of freedom is considered. Then it is shown that it is possible to build semi-analytical and numerical (by the FEM.) solutions of stick-slip-separation waves for a brake-like system. Then, we present new results concerning the mechanical model composed of a rigid half space in frictional sliding with an elastic half-space. The method of solution, based on periodic complex Radoks potentials, is novel and differs from those in literature. Besides, in contrast with many works, we shall consider the longitudinal elongation which plays a crucial rule in the solution procedure. A unique and weakly singular solution is found and satisfies all stick-slip conditions except over a narrow zone at transition points which implies a cracklike behaviour at the stick-slip borders.
- Subjects :
- Physics
Materials science
Mechanical Engineering
Mathematical analysis
Mechanics
02 engineering and technology
Slip (materials science)
Half-space
021001 nanoscience & nanotechnology
Finite element method
Vibration
020303 mechanical engineering & transports
0203 mechanical engineering
Mechanics of Materials
Singular solution
Modeling and Simulation
0210 nano-technology
Subjects
Details
- ISSN :
- 19585829 and 17797179
- Volume :
- 20
- Database :
- OpenAIRE
- Journal :
- European Journal of Computational Mechanics
- Accession number :
- edsair.doi.dedup.....98ec6aa162972c06818d20fc44cd1871