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Stability of the vertical excitation of slender structures
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SYSNO ASEP 0364230 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Stability of the vertical excitation of slender structures Author(s) Náprstek, Jiří (UTAM-F) RID, ORCID, SAI
Fischer, Cyril (UTAM-F) RID, SAI, ORCIDNumber of authors 2 Source Title Vibration Problems ICOVP 2011. - Berlin : Springer, 2011 / Náprstek J. ; Horáček J. ; Okrouhlík M. ; Marvalová B. ; Verhulst F. ; Sawicki J.T. - ISSN 0930-8989 - ISBN 978-94-007-2068-8 Pages s. 145-151 Number of pages 7 s. Action International Conference on Vibrational Problems 2011 Event date 05.09.2011-08.09.2011 VEvent location Praha Country CZ - Czech Republic Event type WRD Language eng - English Country DE - Germany Keywords auto-parametric resonance ; inverted pendulum ; slender structures Subject RIV JM - Building Engineering R&D Projects IAA200710805 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) IAA200710902 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) GA103/09/0094 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z20710524 - UTAM-F (2005-2011) UT WOS 000314230800020 Annotation 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. Workplace Institute of Theoretical and Applied Mechanics Contact Kulawiecová Kateřina, kulawiecova@itam.cas.cz, Tel.: 225 443 285 Year of Publishing 2012
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