Eigenanalysis of wagon wheelsets based on the rigid body dynamics

The presented paper is focused on mathematical modelling of torsion oscillation of wheelsets and analysis of its eigenfrequencies and eigenmodes. A mathematical model of torsion oscillation of a wheelset is derived. Two types of wheelsets are analysed, namely a wheelset equipped with a pad brake and a wheelset equipped with both pad brake and disc brake. The aim of the research is to find the eigenfrequencies and resonance curves of these two types of wheelsets of a freight wagon. These wheelsets are considered as rigid bodies. The Lagrange’s equations of the second kind method is applied for a derivation of the mathematical models of the wheelsets. The wheelsets differ to each other by the number of degrees of freedom. The results are presented in a form graphical illustration of resonance curves with marking the resonance zones for individual types of wheelsets.