A fast method for computing convolutions with structural Green's functions: application to tyre dynamic contact problems

Rabie Meftah (1) , Denis Duhamel (2) , Julien Cesbron (3) , Yin Hai-Ping (2)

1 navier umr 8205 - Laboratoire Navier
2 Dynamique des structures et identification
3 IFSTTAR/IM - Département Infrastructures et Mobilité

Tyre/road contact is the main source of car noise at speeds greater than 50 km/h. In this context, we have developed a new approach for modelling tyre vibrations and contact with rigid road surfaces during rolling. For tyres, a periodic model is used to compute Green's functions. The response of tyres can, thus, be modelled over a large frequency range. Then, a fast convolution and a new contact model are developed and examples of computations of contact stress are given for real road textures. Spectra of stress for different tyre velocities are also computed

Mots clés: dynamic contact; tyre; road; Green's function; convolution; identification; PNEU; BRUIT; CONTACT (PNEU ROUTE)

Domaines: Matériaux et structures en mécanique [physics.class-ph]; Matériaux et structures en mécanique [physics.class-ph]

Rabie Meftah, Denis Duhamel, Julien Cesbron, Yin Hai-Ping. A fast method for computing convolutions with structural Green's functions: application to tyre dynamic contact problems. Revue Européenne de Mécanique Numérique/European Journal of Computational Mechanics, 2013, 22 (5-6), pp.284-303. ⟨10.1080/17797179.2013.849483⟩. ⟨hal-00949276⟩