Original title: Post-critical multi-modal vibration of a continuous inverse pendulum type system
Authors: Náprstek, Jiří ; Fischer, Cyril
Document type: Papers
Conference/Event: Engineering Mechanics 2014 /20./, Svratka (CZ), 2014-05-12 / 2014-05-15
Year: 2014
Language: eng
Abstract: Auto-parametric effects are processes endangering structures during a seismic attack. Tall structures exposed to a strong vertical component of an earthquake excitation nearby the epicenter can collapse due to auto-parametric resonance effect. Vertical and horizontal response components being independent in the linear regime get into a complex interaction due to non-linear terms in post-critical regime. Two generally different types of the post-critical regimes are presented: (i) post-critical state with possible recovery; (ii) exponentially rising horizontal response leading to a collapse. A special attention is paid to processes of transition from semi-trivial to post-critical state in case of time limited excitation period as it concerns the seismic processes. Solution method combining analytical and numerical approaches is developed and used. Its applicability and shortcomings are commented. A few hints for engineering applications are given.
Keywords: auto-parametric systems; dynamic stability; multi-modal vibration; semi-trivial solution
Project no.: GC13-34405J (CEP)
Funding provider: GA ČR
Host item entry: Engineering Mechanics 2014. 20th International conference. May 12-15, 2014, Svratka, Czech Republic. Book of full texts, ISBN 978-80-214-4871-1, ISSN 1805-8248
Note: Související webová stránka: http://www.itam.cas.cz/?pid=5

Institution: Institute of Theoretical and Applied Mechanics AS ČR (web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0233621

Permalink: http://www.nusl.cz/ntk/nusl-173335


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Research > Institutes ASCR > Institute of Theoretical and Applied Mechanics
Conference materials > Papers
 Record created 2014-05-22, last modified 2023-12-06


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