An improved mathematical description of the interaction between vehicle and roads requires complexity in vehicle modeling as well as in road modeling. As the equations of motion for systems with many degrees of freedom can be derived from computerized algorithms, see Kreuzer, a good approximation to real vehicle dynamics is possible. The modeling of the road unevennesses, however, is mostly simplified to independent random excitation processes. In this paper a special kind of shape filter approach is presented, which takes all correlations between the road-excitation processes on a two- or multi-axle vehicle into consideration. To show the influence of correlated random road-excitation processes on vehicle vibrations, the vehicle is modeled as a multibody system with 19 degrees of freedom, and the road unevennesses are described by first order shape filters.
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Georg Rill (1983) studied this question.
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