Stability Condition for Vertical Oscillation of 3-dim Heavy Spring Elastic Pendulum.

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F08%3A00020729" target="_blank" >RIV/60461373:22340/08:00020729 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Stability Condition for Vertical Oscillation of 3-dim Heavy Spring Elastic Pendulum.
Original language description
Equations of motion for 3-dim heavy spring elastic pendulum are derived and rescaled to contain a single parameter. Condition for the stability of vertical large amplitude oscillations is derived analytically relating the parameter of the system and theamplitude of the vertical oscillation. Numerical continuation is used to find the border of the stability region in parameter space with high precision. The stability condition is approximated by a simple formula valid for a large range of the parameterand of the amplitude of oscillation. The bifurcation responsible for the loss of stability is identified.
Czech name
Podminka stability pro svisle kmity pruzneho kyvadla
Czech description
Odvodime pohybove rovnide trirozmerneho pruzneho kyvadla s tezkou pruzinou a zmenou meritka je prevedeme na tvar s jedinym parametrem. Odvodime podminku stability svislych kmitu analyticky. Numerickou kontinuaci najdeme hranici oblasti stability a nestability s libovolnou presnosti. Podminka stability bude aproximovana jednoduchym vztahem. Bude urcena bifurkace odpovedna za ztratu stability.

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2008
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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