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'.
Application of the vibration analysis of linear systems with time-periodic coefficients to the dynamics of a rolling tyre
Anwendung der für lineare Systeme gültigen Schallanalysemethode mit zeitperiodischen Koeffizienten für die Dynamik eines rollenden Reifens
Journal of Sound and Vibration ; 231 , 1 ; 37-77
2000
41 Seiten, 5 Bilder, 17 Quellen
Article (Journal)
English
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