Application of the Vibration Analysis of Linear Systems With Time-Periodic Coefficients to the Dynamics of a Rolling Tyre

A Study of Radial Vibrations of a Rolling Tyre for Tyre–road Noise Characterisation

“…The negative peaks at some distances outside the contact area tend to zero asymptotically at points away from the contact patch. Similar numerical results have been obtained with a ring model rolling on a smooth road without sliding [4,8,9].…”

“…From this graph, the radial deformation is maximal in the vicinity of the contact area demonstrating that the tyre belt is deformed due to the stresses applied in the contact area. Some numerical calculations have been performed with different mathematical models showing the same profile of the radial deformation [2][3][4][7][8][9]. The stresses imposed by the contact interaction forces produce strains almost all along the tyre circumference.…”

“…At the beginning, many experimental studies have been carried out to identify the different physical phenomena in tyre noise radiation [1,2]. More recently, mathematical modelling has been developed with significant contributions in analytical models [3,4].…”

A nonlinear circular ring model with rotating effects for tire vibrations

“…In 2000, Périsse [4] compared the computation of the velocity of a point on the ring with its experimental value and showed a good agreement at low frequencies (below 400 Hz). Several authors developed circular ring models by adding the effect of rotation, see for instance Meftah [5], Périsse [6] and Campanac [7,8]. In this case one can reproduce the phenomenon of splitting of modes depending on the rotational speed.…”

A recursive finite element method for computing tyre vibrations

“…The first class of methods is based on analytical models. The first model considered in the past was the circular ring model (Heckl, 1986;Huang et al, 1987;Kropp, 1989;Campanac et al, 2000) in which the tyre is described by a circular beam under tension. To be more realistic for high frequencies, more complex analytical models, mainly based on orthotropic plates, were proposed.…”