On the equations of motion and the stability of the railway wheelset
Abstract
Studies on the geometry and motion of railway wheelsets go back nearly a century and a half, and there are still a signifi cant number of new fi ndings. It is common practice to describe the railway wheelset as a two degree of freedom system, less than expected from the rigid body model, but an exhaustive explanation of this is lacking in the literature. In this paper, we form the equations of motion of the railway wheelset and show why certain equations do not aff ect the vibrations in the linear case and how the use of the two degree of freedom model can be explained. A vibrating wheelset usually becomes unstable when a certain critical speed is reached, which speed depends on the parameters of the wheel and the vehicle. Our aim is to show how the critical speed can be increased by varying the parameters so that the loss of stability does not occur during the vehicle’s operation. In this paper we investigate the eff ect of the conicity of the wheels and stiff ness of the suspension.
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