A Mathematical Model of Rolling an Elastic Wheel on a Rough Rigid Support Base

One of the most versatile and convenient models when conducting computational experiments is a mathematical model of elastic wheel rolling developed by A.B. Dick and Y.L. Rozhdestvensky. Nearly all the modes of wheel operation can be well described by such models (skid steering, large counter steering, acceleration and braking).  They also cover those cases when there is no comprehensive information about the system being modelled, and the necessary information can be obtained from a simple experiment.  The models are relatively simple and require low computational time. One of the disadvantages therewith is the lack of consideration for displacement of tangential and radial reactions in the contact patch between the wheel and the road when driving over rough surfaces.  The authors propose a mathematical model of elastic wheel rolling over a rough supporting base taking into account the contact patch deformation and variation in the direction of the radial and tangential reactions. The efficiency of the developed mathematical model is proved by the simulation methods.

References

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