Vibration analysis of radial tire using the 3D rotating hyperelastic composite REF based on ANCF

In order to analyze the influence of tread structure and rotating angular speed on the vibration characteristics of radial tire, a 3D rotating hyperelastic composite REF (3D-RHCREF) model is proposed. Different form uniform cylindrical tread in other REF models, the tread is simplified as a hyperelastic composite revolving shell, whose discretization and parameterization are achieved by using three-order segmented Be ' zier curve and complete-gradient ANCF space curved trapezoid element. In the proposed 3D-RHCREF, the generalized inertial force with the centrifugal force and Coriolis force are obtained by introducing a rotation matrix into the framework of ANCF. Based on Kirchhoff-Love theory and hyperelastic constitutive relation, the generalized hyperelastic force of composite tread is derived and the compensation of initial generalized hyperelastic force is proposed. According to the D'Alembert principle, the nonlinear dynamic differential equations are established, then the modal equations are derived on the basis of the equilibrium position. By comparing with the FEM model of radial tire, the validity of the proposed model and calculation method is verified. The 3D-RHCREF is used to analyze the influences of internal pressure, tread pressure sharing ratio, belt structure and rotating angle speed on the vibration characteristics of radial tire. The vibration frequency will increase with the increase of internal pressure and the decrease of tread pressure sharing ratio; different belt structures of tread will cause changes in vibration frequency; the radial vibration frequency will be split into two traveling wave frequencies in two directions with the increase of rotating angular speed, and the circumferential/ lateral vibration frequencies will almost only increase slightly with the increase of rotating angular speed.

Automated summary

A 3D rotating hyperelastic composite REF model was proposed to analyze the influence of tread structure and rotating angular speed on the vibration characteristics of radial tire. Nonlinear dynamic differential equations and modal equations were established to study the effects of internal pressure, tread pressure sharing ratio, belt structure, and rotating angular speed on the vibration characteristics.