Chaotic Zones in Triple Pendulum Dynamics Observed Experimentally and Numerically


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The experimental rig of the triple physical pendulum with the first body periodically forced is built. A mathematical model of the real pendulum is created. Friction in joints is modeled as a composition of dry friction and damping. The parameters of the model are estimated matching the output signals from model and experiment. For the minimum searching of the matching function the simplex method is used. Very good agreement between model and real system is obtained. Few chaotic zones are detected numerically and confirmed experimentally.



Edited by:

Tadeusz Uhl and Andrzej Chudzikiewicz




J. Awrejcewicz et al., "Chaotic Zones in Triple Pendulum Dynamics Observed Experimentally and Numerically", Applied Mechanics and Materials, Vol. 9, pp. 1-17, 2008

Online since:

October 2007




[1] J. Awrejcewicz and G. Kudra: Int. J. Bifurcation and Chaos Vol. 15(7) (2005), p.2207.

[2] J. Awrejcewicz, G. Kudra and C. -H. Lamarque: Int. J. Bifurcation and Chaos Vol. 14(2) (2004), p.4191.

[3] A. C. Skeledon and T. Mulline: Phys. Lett. Vol. A166 (1992), p.224.

[4] A. C. Skeledon: Physica Vol. D75 (1994), p.541.

[5] G. L. Baker and J. A. Blackburn: The Pendulum. A Case Study in Physics (Oxford University Press, 2005).

[6] J. A. Blackburn, Y. Zhou-Jing, H. J. Smith and M. A. H. Nerenberg: Physica Vol. D26 (1987), p.385.

[7] H. Heng, R. Doerner, B. Hubinger and W. Martienssen: Int. J. Bifurcation and Chaos Vol. 4(4) (1994), p.751.

[8] S. R. Bishop and M. J. Clifford: J. Sound and Vib. Vol. 189(1) (1996), p.142.

[9] Q. Zhu and M. Ishitobi: J. Sound and Vib. Vol. 227(1) (1999), p.230.

[10] B. Supeł: Experimental Investigations and Numerical Analysis of Simple Chaotic Mechanical Models (Ph.D. Thesis, Technical University of Lodz, Poland 2005, in Polish).

[11] J. Awrejcewicz, B. Supeł, G. Kudra, G. Wasilewski and P. Olejnik, in: Proceedings of Fifth EUROMECH Nonlinear Dynamics Conference, p.1817, The Netherlands (2005).

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