Stability of the vertical excitation of slender structures

0364230 - ÚTAM 2012 RIV DE eng C - Conference Paper (international conference)
Náprstek, Jiří - Fischer, Cyril
Stability of the vertical excitation of slender structures.
Vibration Problems ICOVP 2011. Berlin: Springer, 2011 - (Náprstek, J.; Horáček, J.; Okrouhlík, M.; Marvalová, B.; Verhulst, F.; Sawicki, J.), s. 145-151. ISBN 978-94-007-2068-8. ISSN 0930-8989.
[International Conference on Vibrational Problems 2011. Praha (CZ), 05.09.2011-08.09.2011]
R&D Projects: GA AV ČR(CZ) IAA200710805; GA AV ČR(CZ) IAA200710902; GA ČR(CZ) GA103/09/0094
Institutional research plan: CEZ:AV0Z20710524
Keywords : auto-parametric resonance * inverted pendulum * slender structures
Subject RIV: JM - Building Engineering

Slender structures exposed to a strong vertical component of an earthquake excitation are endangered by auto-parametric resonance effect. In sub-critical linear regime the vertical and horizontal response components are independent. In post-critical regime, the non-trivial horizontal response occurs and dynamic non-linear interaction of both vertical and horizontal response components takes place. It can be shown using a simplified analytical model, that there exist several theoretical stability limits either for the parameters of excitation or for parameters of the structure and subsoil. One corresponds to appearance of the non-trivial horizontal response. Other describes the case, when the horizontal response exhibits steadily increasing amplitude, which fact leads sooner or later to collapse of the structure.
Permanent Link: http://hdl.handle.net/11104/0199764