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Original title:
Non-holonomic planar and spatial model of a ball-type tuned mass damping device
Authors: Náprstek, Jiří ; Fischer, Cyril
Document type: Papers
Conference/Event: Engineering Mechanics 2017 /23./, Svratka (CZ), 20170515
Year: 2017
Language: eng
Abstract: The area of tuned mass dampers is a wide field of inspiration for theoretical studies in non-linear dynamics and dynamic stability. The studies attempt to estimate behaviour of diverse damping devices and their reliability. The current paper deals with the response of a heavy ball rolling inside a spherical cavity under horizontal kinematic excitation. The non-linear system consists of six degrees of freedom with three non-holonomic constraints. The contact between the ball and the cavity surface is supposed to be perfect without any sliding. The mathematical model using the Appell-Gibbs function of acceleration energy is developed and discussed. Comparison with previous planar (SDOF) model which is based on the Lagrangian procedure is given. The system has an auto-parametric character and therefore semi-trivial solutions and their dynamic stability can be analysed. The most important post-critical regimes are outlined and qualitatively evaluated in resonance domain. Numerical experiments were performed when excitation frequency is slowly swept up and down to identify different modes of response. Some applications in civil engineering as a tuned mass damper, which can be used on slender structures, are mentioned. The proposed device is compared with a conventional pendulum damper. Strengths and weaknesses of both absorbers types are discussed.
Keywords: Appell-Gibbs formulation; moving ball; tuned mass damper
Project no.: GA15-01035S (CEP)
Funding provider: GA ČR
Host item entry: Engineering Mechanics 2017, ISBN 978-80-214-5497-2, ISSN 1805-8248
Institution: Institute of Theoretical and Applied Mechanics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0271689
Permalink: http://www.nusl.cz/ntk/nusl-316664
The record appears in these collections:
Research > Institutes ASCR > Institute of Theoretical and Applied Mechanics
Conference materials > Papers
Authors: Náprstek, Jiří ; Fischer, Cyril
Document type: Papers
Conference/Event: Engineering Mechanics 2017 /23./, Svratka (CZ), 20170515
Year: 2017
Language: eng
Abstract: The area of tuned mass dampers is a wide field of inspiration for theoretical studies in non-linear dynamics and dynamic stability. The studies attempt to estimate behaviour of diverse damping devices and their reliability. The current paper deals with the response of a heavy ball rolling inside a spherical cavity under horizontal kinematic excitation. The non-linear system consists of six degrees of freedom with three non-holonomic constraints. The contact between the ball and the cavity surface is supposed to be perfect without any sliding. The mathematical model using the Appell-Gibbs function of acceleration energy is developed and discussed. Comparison with previous planar (SDOF) model which is based on the Lagrangian procedure is given. The system has an auto-parametric character and therefore semi-trivial solutions and their dynamic stability can be analysed. The most important post-critical regimes are outlined and qualitatively evaluated in resonance domain. Numerical experiments were performed when excitation frequency is slowly swept up and down to identify different modes of response. Some applications in civil engineering as a tuned mass damper, which can be used on slender structures, are mentioned. The proposed device is compared with a conventional pendulum damper. Strengths and weaknesses of both absorbers types are discussed.
Keywords: Appell-Gibbs formulation; moving ball; tuned mass damper
Project no.: GA15-01035S (CEP)
Funding provider: GA ČR
Host item entry: Engineering Mechanics 2017, ISBN 978-80-214-5497-2, ISSN 1805-8248
Institution: Institute of Theoretical and Applied Mechanics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0271689
Permalink: http://www.nusl.cz/ntk/nusl-316664
The record appears in these collections:
Research > Institutes ASCR > Institute of Theoretical and Applied Mechanics
Conference materials > Papers
Record created 2017-05-25, last modified 2022-09-29