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arXiv · 2112.10502

Capacitance calculation of unloaded rolling elements -- Comparison of analytical and numerical methods

Steffen Puchtler·Tobias Schirra·Eckhard Kirchner·Yvonne Späck-Leigsnering·Herbert De Gersem
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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.

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Steffen Puchtler, Tobias Schirra, Eckhard Kirchner, Yvonne Späck-Leigsnering, Herbert De Gersem. 2021-12-15. Capacitance calculation of unloaded rolling elements -- Comparison of analytical and numerical methods. https://doi.org/10.1016/j.triboint.2022.107882

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