Dynamic computations of nonlinear beams in contact with rough surfaces

Denis Duhamel (1) , Trong Dai Vu (1, 2) , Zouhir Abbadi (2) , Hai-Ping Yin (1) , Arnaud Gaudin (2)

1 navier umr 8205 - Laboratoire Navier
2 PSA - PSA Peugeot - Citroën

We present computations of a two-dimensional nonlinear ring in contact with a rough surface for the analysis of tire dynamic behaviour at low frequencies in both non-rolling and rolling conditions. For the ring, the assumptions of a Timoshenko beam and finite displacements are considered to build the model. The analytical formulation is established successfully in linear/nonlinear static and dynamic states in non-rolling and rolling conditions using an Arbitrary Lagrangian Eulerian approach. Then, the contact with a real road is introduced. In particular, the calculation of the contact is divided into a non-linear stationary analysis followed by a linear dynamic calculation. The validation of this model is successfully done by comparisons with test results like rolling on simple shapes or with Abaqus computations.

Mots clés: vibration; non linear; beam; noise; tire; rough surface; contact

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

Denis Duhamel, Trong Dai Vu, Zouhir Abbadi, Hai-Ping Yin, Arnaud Gaudin. Dynamic computations of nonlinear beams in contact with rough surfaces. Procedia Engineering, 2017, 199, pp.336 - 341. ⟨10.1016/j.proeng.2017.09.023⟩. ⟨hal-01695463⟩