A study of random vibration characteristics of the quarter-car model

In this paper, the quarter-car model is used to study the response of the vehicle to profile imposed excitation with randomly varying traverse velocity and variable vehicle forward velocity. Root-mean-square response of the vehicle to white and colored noise velocity road inputs is analyzed. In the latter case, a recently developed subspace-based identification algorithm is used to design a linear shape filter with output spectrum matching the measured road spectrum. The linear shape filter is used in constructing charts that illustrate the trade-offs among the passenger comfort, the road-holding, and the suspension travel as functions of the vehicle forward velocity.