Eulerian dynamics of a bicone. (5th August 2014)

• Record Type: Journal Article
• Authors: Decuyper, M.
• Is Part Of: International journal of vehicle design. Volume 4:Number 4(1983)
• Page Start: 413
• Page End: 429
• Publication Date: 2014-08-05
• Subjects: rail vehicle dynamics -- bicone -- kinematics -- creep forces -- Eulerian equations -- motion -- gravitational stiffness -- large conicities -- fixed centrodes -- rolling centrodes -- railways -- wheelset dynamics -- contact forces -- modelling; Motor vehicles -- Design and construction -- Periodicals; 629.231
• Languages: English
• ISSNs: 0143-3369

Abstract

The purpose of this paper is to resume the problem of wheelset dynamics at a quite fundamental level, by deriving the Eulerian equations of motion of an idealized model of wheelset, on an idealized track. In fact, the translation and rotation equations are derived for a bicone (pair of conical wheels) of any conicity on a straight sharp–edged track. The kinematical constraints are deduced from nonlinear analytical principles, which are then linearized. For the contact forces, a model inspired from Kalker's creep model has been chosen which was adapted to separate somewhat the influence factors, in view of parametric stability studies. The equations are linearized around a nominal uniform motion without any slip; equations of lateral motion are isolated and given a non–dimensional matrix form. They are then compared to equations presented by other authors.