A ring model for the tyre and a linear contact model have been used to describe the behaviour due to tyre/road interactions. This linear model can be used to calculate the kinetic energy of the tyre due to both road excitation, specified by the spectral density matrix of a set of road displacements, and to a set of controllable secondary force distributions. Such a two-dimensional ring model allows the low-frequency response (up to about 400 Hz) of the tyre to a rough road to be calculated in a straightforward way for various road speeds, although the current model does not account for rotation of the tyre, in common with several other models to be found in the literature. The method presented in this paper can give a simple and intuitive prediction of the low-frequency tyre tread velocity and hence also of sound radiation. The predicted results are in reasonable agreement with the measured results that are available. Although a more complete model would need to include the nonlinear interaction in the contact patch and the effects of tyre rotation, the present formulation appears to give a reasonable first-order description of tyre interaction. A further study is current underway to develop a fully nonlinear contact model and this will be the subject of a future publication. A feedforward control formulation has then been used to estimate the attenuation in the response of the tyre on a particular road surface with particular types of secondary actuator. Useful reductions are predicted for a force actuator acting close to the contact patch, although many practical problems need to be overcome before such active systems could be implemented in practice.
Stochastic road excitation and control feasibility in a 2D linear tyre model
Stochastische Fahrbahnanregung und Regelungsmöglichkeiten bei einem 2D-Reifenmodell
Journal of Sound and Vibration ; 300 , 3-5 ; 490-501
2007
12 Seiten, 9 Bilder, 1 Tabelle, 25 Quellen
Aufsatz (Zeitschrift)
Englisch
Stochastic road excitation and control feasibility in a 2D linear tyre model
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