Limit cycle stability of multi-degree of freedom dynamic non-linear systems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378297%3A_____%2F13%3A00393103" target="_blank" >RIV/68378297:_____/13:00393103 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Limit cycle stability of multi-degree of freedom dynamic non-linear systems

Popis výsledku v původním jazyce

Non-linear systems with several degrees of freedom are characterized by a number of response types including Limit Cycles (LC). A new analytical/iterative method of LC identifica-tion and portrait investigation has been developed together with a technique of their stability as-sessment. The strategy used enables to distinguish the stable and unstable LC and consequently to define the attractive and repulsive response fields. A narrow toroidal domain around the LC is constructed. It is arithmetized by orthogonal system positioned by tangential and normal vectors to the LC. Stability of the LC is investigated within the toroidal domain using the transformed differ-ential system for the normal components of the response being functions of the coordinate along the LC trajectory. Exponential criteria of LC stability are developed using first degree of perturba-tion procedure.

Název v anglickém jazyce

Limit cycle stability of multi-degree of freedom dynamic non-linear systems

Popis výsledku anglicky

Non-linear systems with several degrees of freedom are characterized by a number of response types including Limit Cycles (LC). A new analytical/iterative method of LC identifica-tion and portrait investigation has been developed together with a technique of their stability as-sessment. The strategy used enables to distinguish the stable and unstable LC and consequently to define the attractive and repulsive response fields. A narrow toroidal domain around the LC is constructed. It is arithmetized by orthogonal system positioned by tangential and normal vectors to the LC. Stability of the LC is investigated within the toroidal domain using the transformed differ-ential system for the normal components of the response being functions of the coordinate along the LC trajectory. Exponential criteria of LC stability are developed using first degree of perturba-tion procedure.

Druh

D - Stať ve sborníku

CEP obor

JM - Inženýrské stavitelství

OECD FORD obor

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Projekt

<a href="/cs/project/GA103%2F09%2F0094" target="_blank" >GA103/09/0094: Stochastická stabilita a přechodové procesy v interakci nekonzervativních gyroskopických soustav s pohyblivým vnějším zatížením</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2013

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

New advances in the nonlinear dynamics and control of composites for smart engineering design, proceedings of the Euromech Colloquium n. 541

ISBN

978-88-87965-72-8

ISSN

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e-ISSN

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Počet stran výsledku

17

Strana od-do

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Název nakladatele

Clua Edizioni

Místo vydání

Ancona

Místo konání akce

Senigallia

Datum konání akce

3. 6. 2013

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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