Nonlinear Modelling of Shimmying Wheels

The problem of the so-called shimmying wheel has been studied in the special literature for several years (see e. g. the early paper of Schlippe and Dietrich, 1941). These investigations are stimulated by the studies of the dynamical behaviour of trailers or those of the steered wheels of cars, landing gears of aeroplanes, etc. (see e. g. Scheidl et al., 1985). The complex dynamical behaviour of these wheels clearly refer to nonlinear vibrations.