Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2013, Article ID 986584, 12 pages
Research Article

A Frequency Compensation Algorithm of Four-Wheel Coherence Random Road

1State Key Laboratory of Automotive Simulation and Control, Jilin University, Changchun, Jilin 130022, China
2State Key Laboratory of Advanced Design and Manufacture for Vehicle Body, Hunan University, Changsha, Hunan 410082, China
3Zhejiang Geely Automobile Research Institute Co. Ltd., Hangzhou 311228, China
4Department of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, Norway

Received 28 July 2013; Revised 15 August 2013; Accepted 15 August 2013

Academic Editor: Hui Zhang

Copyright © 2013 Jun Feng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The road surface roughness is the main source of kinematic excitation of a moving vehicle, which has an important influence on vehicle performance. In recent decades, random road models have been widely studied, and a four-wheel random road time domain model is usually generated based on the correlation of the four-wheel input, in which a coherence function is used to describe the coherence of the road input between the left and right wheels usually. However, during our research, there are some conditions that show that the road PSD (power spectral density) of one wheel is smaller than the other one on the same axle. Actually, it is caused by the uncorrelation between the left- and right-wheel road surface roughness. Hence, a frequency compensation algorithm is proposed to correct the deviation of the PSD of the road input between two wheels on the same axle, and it is installed in a 7-DOF vehicle dynamic study. The simulation result demonstrates the applicability of the proposed algorithm such that two-wheel road input deviation compensation has an important influence on vehicle performances, and it can be used for a control system installed in the vehicle to compensate road roughness for damper tuning in the future.