Analytical approaches of local stability investigation applied to piecewise linear vibrating system - Kelvin-Voigt impact oscillator

0212225 - UT-L 20020171 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
Kocanda, Lubomír
Analytical approaches of local stability investigation applied to piecewise linear vibrating system - Kelvin-Voigt impact oscillator.
Výpočtová mechanika. Vol. I. Plzeň: ZČU Plzeň, 2002 - (Křen, J.; Vimmr, J.), s. 199-206. ISBN 80-7082-903-6.
[Výpočtová mechanika 2002 /18./. Nečtiny (CZ), 29.09.2002-30.09.2002]
Grant CEP: GA ČR GA101/00/0170
Klíčová slova: nonlinear systems * local stability * analytical solution
Kód oboru RIV: BI - Akustika a kmity

Dynamical behaviour of soft impact oscillator is multifarious with plenty of manifold behaviour kinds commensurated with system parameters. The stability analysis of soft impact oscillator is very important for dynamic investigation. Floquet theory or Ljapunov exponent approach can be applied in numerical integration. However, contrary to numerical integration results processing, the analytic-numerical approaches give better view of the dynamical nub despite its' facing mutual very diverse terms. Approaches based on eigenvalue problem and small difference method presented in authors past papers are eked out with this contribution. This paper aim is to obtain the result of the local stability investigation approaches in analytical form.
Trvalý link: http://hdl.handle.net/11104/0107773