Some Experiments on the Factors Affecting the Motion of a Four-Wheeled Vehicle When Some of its Wheels are Locked

Bradley, Janette E.; Wood, Stuart

doi:10.1243/piae_proc_1930_025_017_02

Cited by 16 publications

(1 citation statement)

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“…Initially, stability was mainly investigated experimentally. Bradley and Wood [27] used a four-wheeled scale model and gave a qualitative explanation of the observed phenomena. Measurements on cars were made by Starks and Lister [28], which confirmed the model results.…”

Section: The Stability Of a Motorcycle During Brakingmentioning

confidence: 99%

Practical stability analysis for transient system dynamics

Meijaard

Popov

2008

Proceedings of the Institution of Mechanical Engineers, Part C:

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The stability of multi-body systems in transient conditions, such as vehicles under braking, is considered. Stability in this case is not univocal, because according to the widely used classical definitions of Lyapunov and Malkin, nearly all motions taking place over a finite time are stable. Here, the use of the concept of practical stability is proposed, which is concerned with a limited growth of perturbations expected to be present in a real system. A viable calculation procedure for applying this concept to multi-body systems is proposed, in which the equations of motion and their linearizations are generated and analysed in a symbolic program, AutoSim.Applications are made to the acceleration of a non-linear Jeffcott rotor through its critical speed and the braking of a motorcycle. The rotor remains stable, provided that the acceleration is sufficiently large and the mass eccentricity sufficiently small. For the motorcycle, braking mainly enhances the wobble mode, whereas locking of the rear wheel may lead to a fall.

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Section: The Stability Of a Motorcycle During Brakingmentioning

confidence: 99%