Artykuły (WM)

Stały URI dla kolekcjihttp://hdl.handle.net/11652/206

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2004 - 20082

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Autorsearch.filters.applied.operator.equals: search.filters.author.Stefański, AndrzejTematsearch.filters.applied.operator.equals: search.filters.subject.stateczność

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  • Pozycja
    Energy method for position stability analysis of critical points of robot manipulators.
    (Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej, 2004) Szumiński, Przemysław; Kapitaniak, Tomasz; Stefański, Andrzej
    An energy method for the position stability analysis of critical points (equilibrium positions) of dynamical systems with an arbitrary finite number of degrees of freedom is presented. The method proposed consists in the analysis of the potential energy balance of a perturbation of an arbitrary number of generalised co-ordinates of the dynamical system in order to establish the energy stability of individual degrees of freedom and of the whole system. In the case of mechanical systems, the position stability criterion, understood as minimisation of loads of driving systems with conservative forces, is discussed. Some examples of application of the method to the position stability analysis of critical points of one- and two-degree-of-freedom systems are analysed.
  • Pozycja
    Lyapunov exponents of systems with noise and fluctuating parameters.
    (Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej, 2008) Stefański, Andrzej
    This paper deals with the problem of determination of Lyapunov exponents in dynamical systems with noise or fluctuating parameters. The method for identifying the character of motion in such systems is proposed. This approach is based on the phenomenon of complete synchro- nization in double-oscillator systems via diagonal, master-slave coupling between them. The idea of effective Lyapunov exponents is introduced for quantifying the local stability in the presence of noise. Examples of the method application and its comparison with bifurcation diagrams representing the system dynamics are demonstrated. Finally, the pro- perties of the method are discussed.