Modelling and simulation of triple physical pendulum

• Autorzy: Awrejcewicz, J. , Kudra, G. , Wasilewski, G.
• Konferencja: Symposium Vibrations In Physical Systems (23 ; 28-31.05.2008 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

Plane triple pendulum periodically forced is investigated both experimentally and numerically. Mathematical modeling includes details taking into account some characteristic features (real characteristics of joints built by the use of roller bearings) as well as some imperfections of the real system. Parameters of the model are obtained by estimation from the experimental data. Then the experimental and numerical analysis of the system is performed.

Słowa kluczowe

PL

wahadło potrójne; modelowanie numeryczne

EN

triple pendulum; numerical modelling

• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2008
• Tom: Vol. 23
• Strony: 15--23
• Opis fizyczny: Bibliogr. 7 poz., fot., 1 rys., wykr.

Twórcy

autor

Awrejcewicz, J.

• Technical University of Łódź, Department of Automatics and Biomechanics, 1/15 Stefanowskiego St., 90-924 Łódź, Poland,

autor

Kudra, G.

• Technical University of Łódź, Department of Automatics and Biomechanics, 1/15 Stefanowskiego St., 90-924 Łódź, Poland,

autor

Wasilewski, G.

• Technical University of Łódź, Department of Automatics and Biomechanics, 1/15 Stefanowskiego St., 90-924 Łódź, Poland

Bibliografia

• 1. Baker G.L. and Blackburn J.A. The Pendulum. A Case Study in Physics. Oxford University Press, 2005.
• 2. Blackburn J.A., Zhou-Jing Y., Vik S., Smith H.J.T. and Nerenberg M.A.H. Experimental study of chaos in a driven pendulum. Physica D26(1-3), 1987, 385-395. 23
• 3. Bishop S.R. and Sudor D.J. The "not quite" inverted pendulum. International Journal of Bifurcation and Chaos 9(1), 1998, 273-285.
• 4. Zhu Q. and Ishitobi M. Experimental study of chaos in a driven triple pendulum Journal of Sound and Vibration 227(1), 1999, 230-238.
• 5. Galan J., Fraser W.B., Acheson D.J. and Champneys A.R. The parametrically excited upside-down rod: an elastic jointed pendulum model. Journal of Sound and Vibration 280, 2005, 359-377.
• 6. Awrejcewicz J., Kudra G. and Wasilewski G. Experimental and numerical investigation of chaotic zones exhibited by the triple physical pendulum. Proceedings of the 8th Conference on Dynamical Systems - Theory and Applications. Łódź, Poland, 2005, 183-188.
• 7. Awrejcewicz J., Supeł, Kudra G., Wasilewski G. and Olejnik P. Numerical and experimental study of regular and chaotic motion of triple physical pendulum. International Journal of Bifurcation and Chaos 18(10), 2008, to appear.