Mesh generation and hysteretic loss prediction of 3-D periodic patterned tire

This paper is concerned with the numerical prediction of the hysteretic loss-induced rolling resistance of 3-D periodic patterned tire. Elastomeric rubber compounds of rolling tire exhibit the hysteretic loss owing to the phase difference between stress- and strain-time responses. By virtue of this physical characteristic, the rolling resistance is considered as a pseudo-force resisting the tire rolling. The 3-D periodic patterned tire model is constructed by copying an 1-sector mesh in the circumferential direction, and strain cycles of each strain component are approximated by 3-D static tire contact analysis. According to the principal value of half strain amplitudes, the hysteretic loss is calculated in terms of the amplitude of the maximum principal strain and the loss modulus of rubber compound. The numerical results of 3-D periodic patterned tire are justified with the experimental data and compared with those of 3-D smooth tire.