| Summary: | Wheel slip model is an important aspect of vehicle driving stability and safety control. However, in most of the carriage movement models friction forces and wheel slip effect are being neglected. This paper raises the problem of wheel slip in dangerous driving and autonomous vehicles under critical driving modes, then tasks the modeling of movement of an individual vehicle is considered. These are two tasks of nonholonomic mechanics: 1) the movement of a wheelset without wheel slip (two disks freely mounted on an axis) along an inclined plane in the field of gravity, and 2) the movement of a flat wheel model, which, under certain assumptions, can be a four-wheeled carriage. In these tasks, in addition to the standard dynamics (continuous motion without wheel slip), critical situations can also be observed associated with wheel sleep and separation of wheels from plane.
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