Post-critical multi-modal vibration of a continuous inverse pendulum type system

0428207 - ÚTAM 2015 RIV CZ eng C - Conference Paper (international conference)
Náprstek, Jiří - Fischer, Cyril
Post-critical multi-modal vibration of a continuous inverse pendulum type system.
Engineering Mechanics 2014. 20th International conference. May 12-15, 2014, Svratka, Czech Republic. Book of full texts. Brno: Brno University of Technology. Institute of Solid Mechanics, Mechatronics and Biomechanics, 2014 - (Fuis, V.), s. 416-419. ISBN 978-80-214-4871-1. ISSN 1805-8248.
[Engineering Mechanics 2014 /20./. Svratka (CZ), 12.05.2014-15.05.2014]
R&D Projects: GA ČR(CZ) GC13-34405J
Institutional support: RVO:68378297
Keywords : auto-parametric systems * dynamic stability * semi-trivial solution * multi-modal vibration
Subject RIV: JM - Building Engineering
http://www.itam.cas.cz/?pid=5

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.
Permanent Link: http://hdl.handle.net/11104/0233621