0381346 - ÚTAM 2013 RIV PT eng C - Conference Paper (international conference)
Náprstek, Jiří - Fischer, Cyril
Auto-Parametric Stability And Post-Critical Behavior of a Non-Linear Continuous System Under Random Seismic Excitation.
Proc. 15th World conference of Earth Engineering. Lisabon: Portuguese Society for Earthquake Engineering, 2012 - (Oliveira, C.), s. 1-10. ISBN 978-989-20-3182-8.
[World conference of Earth Engineering /15./. Lisabon (PT), 24.09.2012-28.09.2012]
R&D Projects: GA ČR(CZ) GA103/09/0094; GA AV ČR(CZ) IAA200710902
Institutional support: RVO:68378297
Keywords : dynamic stability * auto-parametric systems * semi-trivial solution * post-critical response
Subject RIV: JM - Building Engineering

Easily deformable tall 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 in the epicenter area. Vertical and horizontal response components are independent on the linear level. However their interaction takes place due to non-linear terms in post-critical regime. Two 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, when the irreversibility limit is overstepped. A special attention is paid to system parameters sensitivity to reaching the semi-trivial solution stability as well as the limit of the irreversibility. Solution method combining analytical and numerical approaches is developed and used.
Permanent Link: http://hdl.handle.net/11104/0211839