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The theory of the generalized magnus effect for non-holonomic mechanical systems

โœ Scribed by Yu.G. Martynenko

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
509 KB
Volume
68
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

The motion of a carriage with two wheeled pairs over a rough horizontal plane is investigated in the following cases: (1) inertial motion, (2) when there is an elastic constraint which produces a restoring moment of the forces when the axis of rotation of the leading wheeled pair deviates from the unperturbed position, and (3) when there is a small harmonic moment between the leading wheeled pair and the platform. The properties of the exact solution of the system is analysed in the first case. In the second, using the method of averaging, it is shown that for small oscillations of the leading wheeled pair with respect to the platform, after a transition process, motion of the centre of mass of the system with constant velocity, proportional to the initial amplitude of the oscillation, occurs. In the third case, the average motion of the centre of mass occurs with a constant acceleration, the value of which is estimated using the asymptotic multiscale method.

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