Original title: Theoretical analysis of selected trajectories inscribed by a ball freely rolling in a spherical cavity
Authors: Náprstek, Jiří ; Fischer, Cyril
Document type: Papers
Conference/Event: International Conference Engineering mechanics 2022, Milovy (CZ), 20220509
Year: 2022
Language: eng
Abstract: Indirect monitoring of structures is significantly complicated when an artificial vibration absorber has to be taken into account. Knowledge of the absorber’s behaviour is necessary in order to correctly distinguish the response types obtained during an drive-by measurement. In this work, the mathematical model of the ball-type vibration absorber is used, which is based on the Lagrangian formalism. Three first integrals are identified when no external excitation nor damping is assumed. The paper illustrates the power of this approach, which enables a detailed analysis of free movement of the ball in the spherical cavity. Properties of several particular trajectories depending on initial conditions are presented.
Keywords: first integral; rolling sphere; slender structure; structural health monitoring; vibration absorber
Project no.: GC21-32122J (CEP)
Funding provider: GA ČR
Host item entry: Engineering mechanics 2022. Book of full texts, ISBN 978-80-86246-48-2, ISSN 1805-8248
Note: Související webová stránka: https://www.engmech.cz/im/proceedings/show_p/2022/277

Institution: Institute of Theoretical and Applied Mechanics AS ČR (web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0331329

Permalink: http://www.nusl.cz/ntk/nusl-508577


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Research > Institutes ASCR > Institute of Theoretical and Applied Mechanics
Conference materials > Papers