HIGH SPEED ON RANDOM ROADS

                 Roger Pettersson

       Matematisk Statistik, Lunds Universitet


Mechanical systems often means non-linear problems
which may be difficult to solve analytically. We consider
one such system.
 
The set-up is briefly described as follows. A vehicle
moves along a randomly profiled road. If the road is uneven
and the speed is high, a wheel may in short intervals leave
the road and make a jump. The equations which describe the
motion of the vehicle will then be switching and heavily
nonlinear.

A convenient representation of a solution is given and
convergence of a numerical method is obtained.