Periodic and stochastic self-excited oscillations in a system with hereditary-type dry friction
✍ Scribed by V.S. Metrikin; R.F. Nagayev; V.V. Stepanova
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 290 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0021-8928
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✦ Synopsis
The self-excited oscillations of an oscillator which is coupled by dry friction to a base moving at a constant velocity (Fig. 1) is considered. It is assumed that the coefficient of sliding frictionff is constant and that the coefficient of static friction is a pie, cew~linear function of the duration tk of the preceding interval of prolonged contact between the body and the base (Fig. 2) [1]. A dassilication of the simplest periodic and steady-state stochastic self-excitod oscillations of the oscillator is given and the domains of their existence in the parameter space of the system are constructed. The domains of transient-type motion, within which periodic modes of arbitrary complexity exist, are analysed in detail. In particular, the equations of the so-c.alled inaccessible boundaries [2] are constructed in explicit form. A denumerable set of different periodic trajectories of the dynamical system undc:r consideration exists in a small neighbourhood of these boundaries.