Dynamic behaviour of motorcycles front wheel are not different to similar wheel suspension motion of airplanes and road vehicles. In every case self excited oscillations caused by the tire occur. Only the different design of wheel suspension produces some different coupling. The deviation of a moving wheel on horizontal plane from straight rolling is caused by unstable lateral contact forces. The kinematical generation of such forces can be imaginated looking on the elastic tire. A first order time-depending behaviour together with inertia mass and damping of the wheel using Hurwitz stability criterion gives important insight into the main parameters of the problem. Nevertheless the nonlinearities of the system overshadow this clear insight. Cornering force and cornering moment are nonlinear functions of cornering angle, so the use of the well known 'Magic Formula' together with the black box method of control theory is a logical extension. The problem of instability arises again when the wheel is excited from wavy surface or similar from mass unbalances of the tire. A direct time depending of the lateral tire forces can be used to show parametric instability of the system (Mathieu equation). The rolling of the wheel on a non-smooth surface needs then to introduce methods of discrete system approach. The paper presents an overview of the problem of shimmy.
Dynamic behaviour of motorbikes
Dynamisches Verhalten von Motorrädern
1996
24 Seiten, 21 Bilder, 17 Quellen
Conference paper
English
Dynamic Behaviour of Motorbikes
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