The parametric instability of a wheel moving on a discretely supported rail is discussed. To achieve this, an analysis method is developed for a quasi-steady-state problem which can represent an exponential growth of oscillation. The temporal Fourier transform of the rail motion is expanded by a Fourier series with respect to the longitudinal coordinate, and then the response of the rail deflection due to a quasi-harmonic moving load is derived. The wheel/track interaction is formulated by the aid of this function and reduced to an infinite system of linear equations for the Fourier coefficients of the contact force. The critical velocities between the stable and unstable states are calculated based on the nontrivial condition of the homogeneous matrix equation. Through these analyses the influences of the modeling of rail and rail support on the unstable speed range are examined. Moreover, not only the first instability zone but also other zones are evaluated.


    Access

    Access via TIB

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Dynamic instability of a wheel moving on a discretely supported infinite rail


    Contributors:

    Published in:

    Journal of Sound and Vibration ; 333 , 15 ; 3413-3427


    Publication date :

    2014


    Size :

    15 Seiten, 25 Quellen




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English





    Moving element analysis of discretely supported high-speed rail systems

    Dai, Jian / Ang, Kok Keng / Tran, Minh Thi et al. | SAGE Publications | 2018




    Finite-element analysis of discretely supported rail subjected to multiple moving concentrated forces

    Lou, P. / Zhong, X.-G. / Tang, J.-F. et al. | British Library Online Contents | 2006