The dynamics of a coupled mechanical system with spherical pendulum

• Autorzy: Sado D. , Freundlich J. , Dudanowicz A.
• Konferencja: Symposium Vibrations In Physical Systems (27 ; 09-13.05.2016 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

The nonlinear response of a three degree of freedom vibratory system with spherical pendulum in the neighbourhood internal and external resonance is investigated. It was assumed that spherical pendulum is suspended to the main body which is suspended by the element characterized by elasticity and damping and is excited harmonically in the vertical direction. The equation of motion have bean solved numerically. In this type system one mode of vibration may excite or damp another one, and for except different kinds of periodic vibrations there may also appear chaotic vibration.

Słowa kluczowe

EN

spherical pendulum; energy transfer; coupled oscillators; chaos

PL

wahadło sferyczne; transfer energii; sprzężone oscylatory; chaos

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2016
• Tom: Vol. 27
• Strony: 309--316
• Opis fizyczny: Bibliogr. 7 poz., rys., wykr.

Twórcy

autor

Sado D.

• Warsaw University of Technology, Institute of Machine Design Fundamentals, Narbutta 84, 02-524 Warsaw

autor

Freundlich J.

• Warsaw University of Technology, Institute of Machine Design Fundamentals, Narbutta 84, 02-524 Warsaw

autor

Dudanowicz A.

• International School of Gdansk, Sucha 29, 80-180 Gdansk

Bibliografia

• 1. D. Sado, Drgania regularne i chaotyczne w wybranych układach z wahadłami, WNT Warszawa, 2010 (in Polish).
• 2. J. W. Miles and Q. P. Zou, Parametric excitation of a detuned spherical pendulum, Journal of Sound and Vibration, 164(2) (1993) 237 – 250.
• 3. J. Naprstek and C. Fischer, Auto-parametric semi-trival and post-critical response of a spherical pendulum damper, Computers and Structures, 87 (2009) 1204 – 1215.
• 4. A. Y. T. Leung, J. L. Kuang, On the chaotic dynamics of a spherical pendulum with a harmonically vibrating suspension, Nonlinear Dynamics, 43 (2006) 213 – 238.
• 5. R. Mitrov, B. Grigorov, Dynamic behaviour of a spherical pendulum with spatially moving pivoti, Zeszyty Naukowe Politechniki Poznańskiej, 9 (2009) 81 – 91.
• 6. L. D. Viet, Partial stochastic linearization of a spherical pendulum with coriolis damping produced by radial spring and damper, Journal Vib. Acoust., 137(5) 1 – 9, Paper No.VIB-14-1388; doi: 10.1115/1.4030663.
• 7. B. Witkowski at all, The dynamics of co- and counter rotating coupled spherical pendulums, EPJ, 2014.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.