Název:
Theoretical analysis of selected trajectories inscribed by a ball freely rolling in a spherical cavity
Autoři:
Náprstek, Jiří ; Fischer, Cyril Typ dokumentu: Příspěvky z konference Konference/Akce: International Conference Engineering mechanics 2022, Milovy (CZ), 20220509
Rok:
2022
Jazyk:
eng
Abstrakt: 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.
Klíčová slova:
first integral; rolling sphere; slender structure; structural health monitoring; vibration absorber Číslo projektu: GC21-32122J (CEP) Poskytovatel projektu: GA ČR Zdrojový dokument: Engineering mechanics 2022. Book of full texts, ISBN 978-80-86246-48-2, ISSN 1805-8248 Poznámka: Související webová stránka: https://www.engmech.cz/im/proceedings/show_p/2022/277
Instituce: Ústav teoretické a aplikované mechaniky AV ČR
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Informace o dostupnosti dokumentu:
Dokument je dostupný v repozitáři Akademie věd. Původní záznam: http://hdl.handle.net/11104/0331329