Capacitance calculation of unloaded rolling elements -- Comparison of analytical and numerical methods
Abstract
Various methods for calculating the capacitance of unloaded rolling elements are compared to improve the electric characterization of rolling element bearings. Semi-analytical approximations and finite element simulations are applied and a closed-form analytical two-dimensional solution is derived for comparison. The results show that the most common semi-analytical approximation, which uses effective radii to express the contact geometry, reproduces the trend from numerical and analytical calculations, but overestimates the results derived from numerical simulations. Another semi-analytical approach is presented that delivers better results for the capacitance of unloaded point contacts.
Keywords
Cite
@article{arxiv.2112.10502,
title = {Capacitance calculation of unloaded rolling elements -- Comparison of analytical and numerical methods},
author = {Steffen Puchtler and Tobias Schirra and Eckhard Kirchner and Yvonne Späck-Leigsnering and Herbert De Gersem},
journal= {arXiv preprint arXiv:2112.10502},
year = {2022}
}
Comments
8 pages, submitted to Tribology International by Elsevier