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

0395037 - ÚTAM 2014 RIV GB eng J - Journal Article
Náprstek, Jiří - Fischer, Cyril
Types and stability of quasi-periodic response of a spherical pendulum.
Computers and Structures. Roč. 124, č. 8 (2013), s. 74-87. ISSN 0045-7949. E-ISSN 1879-2243
R&D Projects: GA ČR(CZ) GA103/09/0094; GA AV ČR(CZ) IAA200710902
Institutional support: RVO:68378297
Keywords : non-linear vibration * spherical pendulum * auto-parametric systems * quasi-periodic processes * dynamic stability * asymptotic methods
Subject RIV: JM - Building Engineering
Impact factor: 2.178, year: 2013
http://www.sciencedirect.com/science/article/pii/S0045794912002672

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.
Permanent Link: http://hdl.handle.net/11104/0223959