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Types and stability of quasi-periodic response of a spherical pendulum

SYSNO ASEP	0395037
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Types and stability of quasi-periodic response of a spherical pendulum
Author(s)	Náprstek, Jiří (UTAM-F)_{RID, ORCID, SAI} Fischer, Cyril (UTAM-F)_{RID, SAI, ORCID}
Number of authors	2
Source Title	Computers and Structures. - : Elsevier - ISSN 0045-7949 Roč. 124, č. 8 (2013), s. 74-87
Number of pages	14 s.
Publication form	Online - E
Language	eng - English
Country	GB - United Kingdom
Keywords	non-linear vibration ; spherical pendulum ; auto-parametric systems ; quasi-periodic processes ; dynamic stability ; asymptotic methods
Subject RIV	JM - Building Engineering
R&D Projects	GA103/09/0094 GA ČR - Czech Science Foundation (CSF)
	IAA200710902 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
Institutional support	UTAM-F - RVO:68378297
UT WOS	000320416400008
EID SCOPUS	84885177109
DOI	10.1016/j.compstruc.2012.11.003
Annotation	This study concentrates to an effect usually called quasi-periodic response. Double degree of freedom (DDOF) spherical pendulum as an auto-parametric system is used to demonstrate and investigate this effect. Sweeping the excitation frequency throughout the auto-parametric resonance interval, various types of quasi-periodic response can be encountered. An analytical–numerical approach of these effects is developed using the original non-linear system. Relevant differential system in ‘‘slow time’’ is presented, which provides periodic, orbital and a few singular solutions separating basic response types. Numerical evaluation of typical cases and comprehensive parametric study are included. Some open problems are indicated.
Workplace	Institute of Theoretical and Applied Mechanics
Contact	Kulawiecová Kateřina, kulawiecova@itam.cas.cz, Tel.: 225 443 285
Year of Publishing	2014
Electronic address	http://www.sciencedirect.com/science/article/pii/S0045794912002672

Number of the records: 1