The vertical dynamics of half car models riding on irregular road surfaces is characterized by base excitations with time delays determined by the ratio of the car speed and the axle distance between front and rear wheels. Root mean square values of the stationary car vibrations are analytically investigated to derive closed-form results by means of symbolic programming software packages. In particular, the paper discusses modelling aspects when noise filtering and time-delay shifts are interchanged in order to obtain more simple calculations in the frequency domain and in the time domain, as well.

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