Optimal road hump for comfortable speed reduction

We propose a practical tool for exploring the dynamic relation between road profiles and vehicle motion in the time domain. It is symmetric in the sense that the direct (vehicle response to a given road profile) and the inverse (ideal road profile for a given response) problems are both solved by means of digital filtering. The dynamics of each vehicle is described by linear time-invariant differential equations found from a frequency domain vibration analysis. These are then synthesized in a time-domain digital 'vehicle filter'. The approach is here applied to ideal road hump construction for single axle vehicle models. The responses at various speeds to the derived optimal hump as well as some existing profiles are compared. These results are condensed into simple guidelines for optimal road hump design.

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