The noise radiation from rolling tires is studied numerically by using a sequential finite-element (FEM) - hybrid boundary-element (HBEM) approach of the field equations. The equations of motion for the rolling wheel are developed in the frame of an Arbitrary Eulerian-Lagrangian description with a time independent formulation for steady state rolling and a spatial description of vibrations. The calculation of steady state rolling is strongly nonlinear due to the nonlinear material behavior of the tire composites, large displacements with loads depending on the shape and the contact problem itself. This is treated by an incremental-iterative approach including the computation of the contact normal and shear tractions. After the configuration of steady state rolling is known, a modal analysis is performed in this deformed state. For the eigen-analysis small linear vibratory displacements are superimposed on the large elastic deformations of the fixed control state. The noise radiation caused by the vibration modes is computed by the symmetric hybrid boundary element method. The relative normal velocities at the wheel surface are the Neumann data of the acoustic domain. After selecting a road impedance the sound pressure distribution on the wheel and the road surface are calculated. The sound field in the domain surrounding the wheel and road is determined hereafter by an efficient field-point algorithm inherent in the HBEM. An outlook on the simulation of acoustic radiation due to tire-road interaction is given.
展开▼
