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Some properties of non-linear resonance of the pendulum damper
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SYSNO ASEP 0348091 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Some properties of non-linear resonance of the pendulum damper Author(s) Fischer, Cyril (UTAM-F) RID, SAI, ORCID
Náprstek, Jiří (UTAM-F) RID, ORCID, SAINumber of authors 2 Source Title Engineering Mechanics 2010, Book of extended abstracts. - Prague : Institute of Thermomechanics AS CR, v. v. i., 2010 / Zolotarev I. - ISBN 978-80-87012-26-0 Pages s. 33-42 Number of pages 10 s. Action Engineering Mechanics 2010 Event date 10.05.2010-13.05.2010 VEvent location Svratka Country CZ - Czech Republic Event type EUR Language eng - English Country CZ - Czech Republic Keywords non-linear resonance ; spherical pendulum ; autoparametric system 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) GC103/07/J060 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z20710524 - UTAM-F (2005-2011) Annotation The pendulum damper modelled as a two degree of freedom strongly non-linear auto-parametric system is investigated using an approximate differential system. Uni-directional harmonic external excitation at the suspension point is considered. The resonance phenomenon cannot be described using the semi-trivial solution. In this contribution, nature of the numerical solution in the state of resonance is thoroughly investigated as a preliminary work for the detailed analytical study. Stationary and non-stationary (quasiperiodic) character of the resonance solution is determined and characterised. General form of a solution is proposed Workplace Institute of Theoretical and Applied Mechanics Contact Kulawiecová Kateřina, kulawiecova@itam.cas.cz, Tel.: 225 443 285 Year of Publishing 2011
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