000008839 001__ 8839
000008839 005__ 20141204083525.0
000008839 04107 $$aeng
000008839 046__ $$k12/05/2014
000008839 100__ $$aNáprstek, J.
000008839 24500 $$aPOST-CRITICAL MULTI-MODAL VIBRATION OF A CONTINUOUS INVERSE PENDULUM TYPE SYSTEM

000008839 24630 $$n20.$$pEngineering Mechanics 2014
000008839 260__ $$bBrno University of Technology- Institute of Solid Mechanics, Mechatronics and Biomechanics
000008839 506__ $$arestricted
000008839 520__ $$2eng$$aAuto-parametric effects are processes endangering structures during a seismic attack. Tall structures exposed to a strong vertical component of an earthquake excitation nearby the epicenter can collapse due to auto-parametric resonance effect. Vertical and horizontal response components being independent in the linear regime get into a complex interaction due to non-linear terms in post-critical regime. Two generally 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. A special attention is paid to processes of transition from semi-trivial to post-critical state in case of time limited excitation period as it concerns the seismic processes. Solution method combining analytical and numerical approaches is developed and used. Its applicability and shortcomings are commented. A few hints for engineering applications are given.

000008839 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000008839 653__ $$aAuto-parametric systems, Dynamic stability, Semi-trivial solution, Multi-modal vibration, Post-critical states.

000008839 7112_ $$aEngineering Mechanics 2014$$cSvratka (CZ)$$d12/05/2014 - 15/05/2014$$gEM2014
000008839 720__ $$aNáprstek, J.$$iFischer, C.
000008839 8560_ $$ffischerc@itam.cas.cz
000008839 8564_ $$s424283$$uhttps://invenio.itam.cas.cz/record/8839/files/31-Naprstek-CD.pdf$$yOriginal version of the author's contribution as presented on CD, paper No. 31.
000008839 962__ $$r70
000008839 980__ $$aPAPER