Topological data analysis for friction modeling
- 1 September 2021
- journal article
- research article
- Published by IOP Publishing in Europhysics Letters
- Vol. 135 (5), 56001
- https://doi.org/10.1209/0295-5075/ac2655
Abstract
Dry sliding friction is a complex but ubiquitous phenomenon. Experimental studies of friction produce large amounts of data, while most models are phenomenological rather than deduced from fundamental principles. Proper identification of relevant degrees of freedom is crucial for the development of adequate frictional models, such as the state-and-rate models. Topological data analysis is a mathematical method for dimensionality reduction for datasets characterizing surface roughness, contact of rough surfaces, and frictional sliding. We study tribological systems including the surface roughness and multi-asperity contacts using 3x3, 4x4, and 5x5 pixel patches. Depending on whether the surface is isotropic or anisotropic with particular lay directions, the data tends to concentrate at certain "primary" and "secondary" circles yielding different values of the Betti numbers. Scale dependency of corresponding structures is analyzed with persistence diagrams. Moreover, statistics of stick-slip zones can provide insights into relevant internal degrees of friction. Copyright (C) 2021 EPLAKeywords
This publication has 24 references indexed in Scilit:
- Entropy in Tribology: in the Search for ApplicationsEntropy, 2010
- Negentropy Generation and Fractality in the Dry Friction of Polished SurfacesEntropy, 2010
- Topology and dataBulletin of the American Mathematical Society, 2009
- The nonlinear nature of frictionNature, 2004
- Modifying Friction by Manipulating Normal Response to Lateral MotionPhysical Review Letters, 1999
- Coupling of Normal and Transverse Motions during Frictional SlidingThe Journal of Physical Chemistry B, 1998
- A survey of models, analysis tools and compensation methods for the control of machines with frictionAutomatica, 1994
- Direct observation of frictional contacts: New insights for state-dependent propertiesPure and Applied Geophysics, 1994
- Significance of the normal degree of freedom and natural normal vibrations in contact frictionWear, 1967
- Elastic deformation and the laws of frictionProceedings of the Royal Society of London. Series A - Mathematical and Physical Sciences, 1957