In this article, theories of rolling tyre vibrations are presented. In previous publications, tread pattern was neglected and authors have studied vibrations in smooth tyres. When heterogeneity caused by a tread pattern on the tyre belt is introduced, it is shown that vibrations can be described by linear equations with time periodic coefficients. Firstly, the perturbation method is applied for a nearly smooth tyre, and the 'self-excitation' phenomenon, a general feature in time periodic linear systems, is illustrated with the semi-analytic expressions obtained. Then, the generalization to a strong heterogeneity is achieved using the Bloch wave theory. This theoretical background suggests the decomposition of experimental data of noise in time signals for a given phase as compared to the wheel rotation. Finally, an effective method for numerical computations of vibrations is proposed; it uses the Floquet theory, a consequence of the Bloch theory. Finite element forrmulation and algorithm are derived for the heterogeneous 'circular ring model'.


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    Title :

    Application of the vibration analysis of linear systems with time-periodic coefficients to the dynamics of a rolling tyre


    Additional title:

    Anwendung der für lineare Systeme gültigen Schallanalysemethode mit zeitperiodischen Koeffizienten für die Dynamik eines rollenden Reifens


    Contributors:
    Campanac, P. (author) / Nonami, K. (author) / Duhamel, D. (author)

    Published in:

    Publication date :

    2000


    Size :

    41 Seiten, 5 Bilder, 17 Quellen




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English