Two IFFT-Based Construction Models of 2D Road Roughness Considering the Coherence Function of Different Wheel Tracks

Based on the relationship between auto-power spectrum density (PSD), cross-PSD and Fourier transform of road roughness of different wheel tracks, the analytic coherence relation of the phase angle corresponding to inverse Fourier transform(IFT) of road roughness for left and right wheel track in IFFT method. Through LU decomposition of the PSD matrix of road roughness of different wheel tracks, the white noise filter transfer function of the road roughness of left and right wheel track, and then two IFFT models of random road simulation considering the coherence of different wheel tracks. The simulation results show that the auto-PSD and the coherence function of different wheel tracks had high reliability in the simulation of 2D road roughness.