# Einsatz analytisch beschreibbarer Geometrien zur Berechnung des Kontaktes zwischen Wälzkörper und Bord in Wälzlagersimulationen

Wirsching S, Schwarz S, Tremmel S (2019)

Publication Language: German

Publication Type: Conference contribution, Conference Contribution

Publication year: 2019

Pages Range: 100 - 110

Event location: Göttingen

ISBN: 978-3-9817451-4-6

### Abstract

A large number of different contact points exist in rolling bearings. The rolling elements interact with the raceway, with the cage or other rolling elements and with the rib or ribs. Depending on the load situation, all these contacts contribute differently to the frictional power, to the temperature increase and thus to the capacity of the bearing. High axial loads are carried by the ribs of roller bearings, as is the case, for example, with tapered roller bearings, but also with the new Angular Roller Unit (ARU) from Schaeffler. In these cases, the contact between the rolling element and the rib significantly influences the frictional power. For its calculation, a detailed description of the contact in bearing simulation tools is necessary. An improved friction calculation allows the specific development of more efficient rolling bearings.
In existing programs for the dimensioning of bearings, the contact calculation between rolling element and rib is usually based on the theory of HERTZ, which is accurate only for some geometric pairings. Complex geometries of the contact partners, which are typically used to reduce friction between the rolling element and the rib, cannot be described with sufficient precision, leading to more or less large discrepancies in the calculation of deflections, contact zones and contact pressures compared to high-quality numerical calculations (for example finite element analysis). This also means that the frictional power is not calculated sufficiently accurately.
For that reason, this paper presents a new, more accurate method for calculating the contact between the rolling element and the rib. The geometries of the two contact partners are described analytically and form a substitute geometry. By pressing this substitute geometry into a two-dimensional bedding according to the approach of WIN-KLER, the equilibrium of forces in contact is solved similarly to the work of POPOV, whereby the contact area and the resulting pressure distribution are calculated. The developed method is compared for different contact pairings with the finite element method. By comparing the contact area, -shape and -pressure, the potential and the limits of the new method are assessed.

### How to cite

APA:

Wirsching, S., Schwarz, S., & Tremmel, S. (2019). Einsatz analytisch beschreibbarer Geometrien zur Berechnung des Kontaktes zwischen Wälzkörper und Bord in Wälzlagersimulationen. In Gesellschaft für Tribologie e.V. (Hrg.), Tagungsband 60. Tribologie-Fachtagung 2019 (S. 100 - 110). Göttingen, DE.

MLA:

Wirsching, Sven, Sebastian Schwarz, and Stephan Tremmel. "Einsatz analytisch beschreibbarer Geometrien zur Berechnung des Kontaktes zwischen Wälzkörper und Bord in Wälzlagersimulationen." Tagungsband 60. Tribologie-Fachtagung 2019, Göttingen Hrg. Gesellschaft für Tribologie e.V., 2019. 100 - 110.