Computational Methods in Stochastic Dynamics

0353311 - ÚTAM 2011 RIV NL eng M - Monography Chapter
Náprstek, Jiří - Fischer, Cyril
Auto-parametric Stability Loss and Post-critical Behaviour of a Three Degrees of Freedom System.
Computational Methods in Stochastic Dynamics. 1st Edition. Dordrecht, Heidelberg, London, New York: Springer, 2011 - (Papadrakakis, M.; Stefanou, G.; Papadopoulos, V.), s. 267-290. Computational Methods in Applied Sciences, Vol. 22. ISBN 978-90-481-9986-0
R&D Projects: GA AV ČR(CZ) IAA200710805; GA ČR(CZ) GA103/09/0094; GA AV ČR(CZ) IAA200710902
Institutional research plan: CEZ:AV0Z20710524
Keywords : computational mechanics * inverted pendulum * autoparametric system
Subject RIV: JM - Building Engineering

Slender structures exposed to a strong vertical component of an earthquake excitation are endangered by auto-parametric resonance effect. If an amplitude of a vertical harmonic excitation in a structure foundation exceeds a certain limit, vertical response at the top ot the structure looses its stability and a dominant horizontal response component arises. Qualitatively different post-critical response types have been detected when sweeping throughout the frequency interval beyond the stability limit. Deterministic as well as chaotic response types have been observed. In general they can occur in a steady state, quasi-periodic and completely undetermined regimes including a possible energy transflux among degrees of freedom.
Permanent Link: http://hdl.handle.net/11104/0192590