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Dynamic stability loss and post-critical behaviour of an auto-parametric non-linear system with three degrees of freedom

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    SYSNO ASEP0399324
    Document TypeC - Proceedings Paper (int. conf.)
    R&D Document TypeConference Paper
    TitleDynamic stability loss and post-critical behaviour of an auto-parametric non-linear system with three degrees of freedom
    Author(s) Náprstek, Jiří (UTAM-F) RID, ORCID, SAI
    Fischer, Cyril (UTAM-F) RID, SAI, ORCID
    Number of authors2
    Source TitleCOMPDYN 2009, ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering. - Atény : National Technical University of Athens, 2009 / Papadrakakis M. ; Lagaros N.D. ; Fragiadakis M. - ISBN 978-960-254-682-6
    Number of pages18 s.
    Publication formMedium - C
    ActionCOMPDYN 2009
    Event date22.06.2009-24.06.2009
    VEvent locationRhodos
    CountryGR - Greece
    Event typeWRD
    Languageeng - English
    CountryGR - Greece
    Keywordsdynamic stability ; auto-parametric response ; non-linear dynamics ; semi-trivial solution
    Subject RIVJM - Building Engineering
    R&D ProjectsIAA200710805 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
    GA103/09/0094 GA ČR - Czech Science Foundation (CSF)
    IAA200710902 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
    Institutional supportUTAM-F - RVO:68378297
    AnnotationSlender structures exposed to a strong vertical component of an earthquake excitation are endangered by auto-parametric resonance effect. This non-linear dynamic process in a post-critical regime caused heavy damages or collapses of many towers, bridges and other structures due to earthquake attack in the epicenter area. If an amplitude of a vertical harmonic excitation in a structure foundation exceeds a certain limit, vertical response on the structure top looses its stability and a dominant horizontal response component arises. In subcritical linear regime only semi-trivial solution being represented by the vertical response component is observed, while horizontal components remain trivial. Therefore, vertical and horizontal response components are independent. In post-critical regime (auto-parametric resonance) the dynamic non-linear interaction of vertical and horizontal response components occurs.
    WorkplaceInstitute of Theoretical and Applied Mechanics
    ContactKulawiecová Kateřina, kulawiecova@itam.cas.cz, Tel.: 225 443 285
    Year of Publishing2014
Number of the records: 1  

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