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

The result's identifiers

  • Result code in 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>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

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

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    JM - Structural engineering

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA103%2F09%2F0094" target="_blank" >GA103/09/0094: Stochastic stability and transition processes in interaction of non-conservative gyroscopic systems with moving continuum</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2013

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    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

  • e-ISSN

  • Number of pages

    17

  • Pages from-to

  • Publisher name

    Clua Edizioni

  • Place of publication

    Ancona

  • Event location

    Senigallia

  • Event date

    Jun 3, 2013

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article