Engineering Mechanics

Proceedings Vol. 22 (2016)

ENGINEERING MECHANICS 2016

22nd INTERNATIONAL CONFERENCE
May 9 – 12, 2016, Svratka, Czech Republic

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Editors: Igor Zolotarev and Vojtěch Radolf

ISBN 978-80-87012-59-8 (printed)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

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APPROXIMATION OF THE MOVEMENT OF THE SPHERICAL PENDULUM

Fischer C., Náprstek J.
pages 169 - 172, full text

The horizontally driven two-degrees of freedom spherical pendulum is an auto-parametric system which exhibits a wide variety of response types. Depending on the amplitude and frequency of the excitation the response can vary from stationary to chaotic regime. It has been already shown that the response can be described using time variable parameters of an inscribed ellipse. Such a description has a potential to close the gap between description of stationary, quasi-periodic and chaotic types of response. This study presents methodology and results of an analysis of the experimentally measured data providing the time dependent parameters of a twisting ellipse. The obtained results are discussed and some open problems are indicated.

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Engineering Mechanics

International Conference

Proceedings Vol. 22 (2016)

ENGINEERING MECHANICS 2016