Abstract
SUMMARY This paper presents an application of multibody methods[3] to the problem of a railway vehicle running on a tangent or a curved track. The geometric and the kinematic constraints between the track and the wheelset are accurately taken into account. Both for a conventional wheelset and for a wheelset with independently rotating wheels moving along either a tangent track or a curved track, a mathematic model is established. The normal contact forces of the wheels are eliminated from the Newton-Euler equations of motion. In addition, a set of nonlinear equations (without accelerations) for the normal forces is generated. By means of the first-order theory[1], the geometric constraint equations are solved numerically in three dimensions for either symmetric or asymmetric profiles of the rails and wheels. In the numerical calculations we solve the benchmark problem proposed by Kik[9] and we restrict ourselves to conventional wheelsets and to a tangent track.
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