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Description
The understanding of tyre/road interactions is of great interest in traffic noise reduction and tyre design. This paper deals with the forced response of a slick rolling tyre in contact with a rough road surface. The calculations are performed in quasi-statics in a fixed contact zone using a Eulerian coordinate system, assuming no coupling between structural vibrations and the contact conditions for the sake of time cost. In the contact model, the tyre tread is simplified by an elastic half-space and the contact problem is solved using a direct numerical method. The resulting contact forces are firstly post-processed by means of time Fourier transform and angular Fourier decomposition. Then, they are injected into a waveguide finite element model developed for rotating and inflated circular structures under small perturbations. The vibrational fields along the tyre tread center line are obtained at frequencies up to 4 kHz. Four cases are studied, including two vehicle speeds (30 km/h and 90 km/h) and two real road surfaces with different macro-textures. The energy distribution of the excited modes and the effect of rotation are observed in dispersion diagrams. While based on a different methodology than existing approaches, the results show good agreement with the literature.