000015124 001__ 15124
000015124 005__ 20161115100212.0
000015124 04107 $$aeng
000015124 046__ $$k2016-08-21
000015124 100__ $$aProppe, Carsten
000015124 24500 $$aMultiscale modelling of dynamical systems with friction between randomly rough surfaces

000015124 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015124 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015124 506__ $$arestricted
000015124 520__ $$2eng$$aFriction induced vibrations are present in many engineering systems, e.g. in brakes and cam follower systems. In these systems, self-excited oscillations may occur. Surface roughness is an important source of uncertainty in friction systems. We present a multi-scale approach to the modeling and simulation of dynamical systems with friction between randomly rough surfaces. In a first step, a stochastic model for the rough surface is identified based on observations obtained directly by a white light interferometer, from which statistical characteristics such as the probability density function, the correlation function and the spectral density of the surface heights are estimated. From these characteristics, sample surfaces can be simulated by Karhunen-Lo`eve expansion or a spectral approach. In a second step, the normal contact problem for samples of the rough surface is solved, where the contact pressure is represented by a polynomial chaos expansion. By repeated solution of the normal contact problem, the coefficients of the the polynomial chaos expansion can be estimated by regression. From the polynomial chaos expansion of the contact pressure and area, a stochastic friction coefficient can be identified by application of the Bowden-Tabor approach. In this way, a stochastic process for the friction coefficient is obtained from the statistical properties of the surface roughness. Finally, on a structural level, vibration systems with friction between randomly rough surfaces are studied, where the classical friction coefficient is replaced by the stochastic process that has been identified previously. As an example, the classical mass on a belt system is considered, where stick-slip vibrations occur. The influence of the stochastic process for the friction coefficient on the limit cycle is studied.

000015124 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015124 653__ $$a

000015124 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015124 720__ $$aProppe, Carsten
000015124 8560_ $$ffischerc@itam.cas.cz
000015124 8564_ $$s62482$$uhttps://invenio.itam.cas.cz/record/15124/files/TS.SM02-3.03.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1780, code TS.SM02-3.03
.
000015124 962__ $$r13812
000015124 980__ $$aPAPER