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Titolo:
Chelomei's pendulum explained
Autore:
Thomsen, JJ; Tcherniak, DM;
Indirizzi:
Tech Univ Denmark, Dept Mech Engn Solid Mech, DK-2800 Lyngby, Denmark TechUniv Denmark Lyngby Denmark DK-2800 d Mech, DK-2800 Lyngby, Denmark Bruel & Kjoer Sourd & Vibrat AS, DK-2850 Noerum, Denmark Bruel & Kjoer Sourd & Vibrat AS Noerum Denmark DK-2850 0 Noerum, Denmark
Titolo Testata:
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
fascicolo: 2012, volume: 457, anno: 2001,
pagine: 1889 - 1913
SICI:
1364-5021(20010808)457:2012<1889:CPE>2.0.ZU;2-5
Fonte:
ISI
Lingua:
ENG
Soggetto:
HIGH-FREQUENCY EXCITATION; VIBRATION; DYNAMICS; OSCILLATIONS; BEAM; MASS;
Keywords:
Chelomei's pendulum; effects of high-frequency vibrations; dynamic stabilization;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
33
Recensione:
Indirizzi per estratti:
Indirizzo: Tcherniak, DM Tech Univ Denmark, Dept Mech Engn Solid Mech, Bldg 404, DK-2800 Lyngby, Denmark Tech Univ Denmark Bldg 404 Lyngby Denmark DK-2800 , Denmark
Citazione:
J.J. Thomsen e D.M. Tcherniak, "Chelomei's pendulum explained", P ROY SOC A, 457(2012), 2001, pp. 1889-1913

Abstract

Chelomei's pendulum has a sliding disc on its rod, and is mounted on a support that vibrates vertically with small amplitude and high frequency. In 1982, V. N. Chelomei demonstrated experimentally that a configuration can bestable where the pendulum points against gravity, and the disc 'floats' onthe rod. This phenomenon has never been satisfactorily explained. The present work considers why and where the disc floats. It suggests that the phenomenon is caused by resonant flexural rod vibrations, which are excited through small symmetry-breaking imperfections, such as a small deviation from perfectly vertical excitation. This hypothesis is supported by laboratory experiments, and by perturbation analysis and numerical analysis of a new mathematical three-degree-of-freedom model of the system. Simple analytical expressions for the prediction of stable states of the system are set up, providing frequency responses that agree closely with numerical simulation, and agree qualitatively with experimental observations.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 04/04/20 alle ore 12:21:41