Modelling orthotropic friction with a nonlinear bristle model

Adam Wijata , Michał Makowski , Bartosz Stańczyk , Jan Awrejcewicz


Friction is a phenomenon which occurs commonly in the nature and in mechanical constructions. One can find numerous mathematical models describing friction as a one-dimensional process. On the other hand, the number of models which take into account second dimension is significantly smaller. The paper in hand introduce two-dimensional, dynamical model for orthotropic dry friction. Proposed model obeys maximum dissipation power principle by means of non-linear two-dimensional bristle stiffness. Numerical studies show influence of orthotropic friction on planar oscillator and 2D stick-slip system trajectories. Model is also verified against experimental results. Frictional pair with orthotropic properties have been prepared for laboratory rig which is a spherical pendulum with frictional contact. Comparison between experimental and simulation results shows good similarity, although further validation is required.
Author Adam Wijata
Adam Wijata,,
, Michał Makowski (FACME / IAE)
Michał Makowski,,
- Institute of Automotive Engineering
, Bartosz Stańczyk
Bartosz Stańczyk,,
, Jan Awrejcewicz (FACME / IV)
Jan Awrejcewicz ,,
- Institute of Vehicles
Journal seriesAIP Conference Proceedings, ISSN 0094-243X, e-ISSN 1551-7616
Issue year2019
Publication size in sheets0.5
Conference10th International Conference on Applied Mechanics , 23-11-2018 - 23-11-2018, Bydgoszcz, Polska
Keywords in Englishmathematical model, orthotropic dry friction, numerical studies, experimental investigation
Languageen angielski
Score (nominal)5
Score sourcejournalList
ScoreMinisterial score = 5.0, 02-07-2020, ArticleFromJournal
Publication indicators WoS Citations = 0; Scopus Citations = 0
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