Original title: Forced movement of a ball in spherical cavity under kinematic excitation
Authors: Náprstek, Jiří ; Fischer, Cyril
Document type: Papers
Conference/Event: Engineering mechanics 2018 /24./, Svratka (CZ), 20180514
Year: 2018
Language: eng
Abstract: In the paper the response of a heavy ball rolling inside a semi-spherical cavity under horizontal kinematic excitation is investigated. The system with six degrees of freedom with three non-holonomic constraints is considered. The contact between the ball and the cavity surface is supposed to be perfect without any sliding. The mathematical model using the Appel-Gibbs function of acceleration energy is developed and discussed. The most important post-critical regimes are outlined and qualitatively evaluated on the frequency axis. Numerical experiments have been performed when excitation frequency is slowly swept up and down. Results obtained by means of semi-analytical investigation and numerical simulation are evaluated and physically interpreted. Some applications in civil engineering as a tuned mass damper used on slender structures is outlined. Strengths and weaknesses of solution method are evaluated.
Keywords: Appell-Gibbs formulation; non-holonomic systems; nonlinear dynamics; singular states; tuned mass damper
Project no.: GC17-26353J (CEP)
Funding provider: GA ČR
Host item entry: Engineering mechanics 2018. Book of full texts, ISBN 978-80-86246-88-8, ISSN 1805-8248

Institution: Institute of Theoretical and Applied Mechanics AS ČR (web)
Document availability information: Fulltext is available at external website.
External URL: http://www.engmech.cz/improc/2018/573.pdf
Original record: http://hdl.handle.net/11104/0283989

Permalink: http://www.nusl.cz/ntk/nusl-375249


The record appears in these collections:
Research > Institutes ASCR > Institute of Theoretical and Applied Mechanics
Conference materials > Papers