Practical stability analysis for transient system dynamics

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