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Modelling of vibration damping in pneumatic tyres

The paper deals with the measurement, identification and modelling of vibration damping in heavy vehicle tyres. Recent developments in vibration analysis are applied in order to extend the damping modelling to more general cases than viscous or hysteretic damping models based on a dissipation matrix. Both the general first-order state-space approach and the second-order small-damping method are critically reviewed. A general procedure for damping identification is developed and implemented. The only limitation to this procedure is that structural linearity and reciprocity should be satisfied; this has been adequately proven for pneumatic tyres. The best theoretical results have been achieved by assuming non-proportional viscous damping in the tyre and through the application of modal analysis techniques based on complex-valued modes.