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

0399324 - ÚTAM 2014 RIV GR eng C - Conference Paper (international conference)
Náprstek, Jiří - Fischer, Cyril
Dynamic stability loss and post-critical behaviour of an auto-parametric non-linear system with three degrees of freedom.
COMPDYN 2009. Atény: National Technical University of Athens, 2009 - (Papadrakakis, M.; Lagaros, N.; Fragiadakis, M.). ISBN 978-960-254-682-6.
[COMPDYN 2009. Rhodos (GR), 22.06.2009-24.06.2009]
R&D Projects: GA AV ČR(CZ) IAA200710805; GA ČR(CZ) GA103/09/0094; GA AV ČR(CZ) IAA200710902
Institutional support: RVO:68378297
Keywords : dynamic stability * auto-parametric response * non-linear dynamics * semi-trivial solution
Subject RIV: JM - Building Engineering

Slender 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.
Permanent Link: http://hdl.handle.net/11104/0226658