An in-plane tyre model to study the tyre responses to brake torque variations is presented. This model conceives a rigid ring (representing the tyre tread band) on an elastic foundation (representing the tyre sidewalls). The contact of the. ring with the road is governed by a vertical residual stiffness representing the large deformation of the.tyre in the contact patch and a slip model that generates the horizontal forces in the contact patch. This slip model, which is based on the relaxation length principle, is formulated such that it can handle zero velocity conditions. Experiments were carried out on a test drum. The tyre was excited by applying variations of brake torque. The measured frequency response functions of the longitudinal' force show clearly two modes of vibration of the tyre at 33 and 77 Hz. The frequency response functions are used to estimate the lyre parameters. Large variations of brake torque are used to validate the tyre model. Two responses are discussed: successive step increases in brake pressure and braking with wheel lock.
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