Construction of road roughness in left and right wheel paths based on PSD and coherence function

A new method of constructing road roughness in left and right wheel paths based on specified Power Spectral Density (PSD) and coherence function is proposed. This is achieved through a sequence of steps. First, the road roughness is divided into original and perturbed parts. The original road roughness in left and right wheel paths is assumed to be equivalent, while the two parallel perturbed road roughnesses are considered to be stochastic and independent of each other. Second, the auto-PSDs of the original and perturbed road roughness are derived through the specified PSD and coherence function. Then, the original and perturbed road roughnesses are constructed based on their auto-PSDs using the IFFT method. Finally, the road roughness is obtained by combining the original and perturbed roughness together. The method is validated through a construction example. The results show that the road roughness in the left and right wheel paths constructed through this method can satisfy both the PSD and coherence function conditions, and good randomness of the perturbed road roughness ensures high precision of this method. •Road roughness of bilateral paths is constructed based on PSD and coherence function.•Constructed road roughness function is divided into original and perturbed parts.•Auto-PSD of each part is derived through the specified PSD and coherence function.•Road roughness is constructed based on auto-PSDs using the IFFT method.•Constructed road roughness of bilateral paths satisfies both PSD and coherence function.