An approximate analytical method to solve frictionless contact between elastic bodies of revolution
(English)Manuscript (preprint) (Other academic)
An analytical method is proposed for calculating the contact patch and pressure distribution between two elastic bodies generated by rotating arbitrary profiles about parallel axes. The elastic deformation is approximated based on the separation between the bodies in contact. This makes it possible to estimate the contact patch analytically. The contact pressure distribution, in the direction perpendicular to the axes of rotation, is assumed to be elliptic with its maximum calculated by applying Hertz solution locally. The results are exact for contact between two ellipsoids when compared against Hertz's. In non-elliptic contact cases (e.g. in wheel-rail contact) good agreement is achieved in comparison to more accurate but computationally expensive methods such as Kalker's variational method (CONTACT algorithm). Compared to simplified non-elliptic contact methods based on virtual penetration, the calculated contact patch and pressure distribution are markedly improved. The computational cost of the proposed method is significantly lower than the more detailed methods, making it worthwhile to be applied to rolling contact in rail vehicle dynamic simulation.
Contact mechanics, Non-elliptic contact, Wheel-rail contact, Vehicle-track interaction, Rolling contact
Tribology Vehicle Engineering Applied Mechanics
Research subject Järnvägsgruppen - Fordonsteknik; The KTH Railway Group - Tribology
IdentifiersURN: urn:nbn:se:kth:diva-127948OAI: oai:DiVA.org:kth-127948DiVA: diva2:646705
QS 20132013-09-092013-09-092013-09-11Bibliographically approved