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http://dx.doi.org/10.12989/sem.2014.51.5.743

Control of chaotic dynamics by magnetorheological damping of a pendulum vibration absorber  

Kecik, Krzysztof (Department of Applied Mechanics, Lublin University of Technology)
Publication Information
Structural Engineering and Mechanics / v.51, no.5, 2014 , pp. 743-754 More about this Journal
Abstract
Investigations of regular and chaotic vibrations of the autoparametric pendulum absorber suspended on a nonlinear coil spring and a magnetorheological damper are presented in the paper. Application of a semi-active damper allows controlling the dangerous motion without stooping of system and additionally gives new possibilities for designers. The investigations are curried out close to the main parametric resonance. Obtained numerical and experimental results show that the semi-active suspension may reduce dangerous motion and it also allows to maintain the pendulum at a given attractor or to jump to another one. Moreover, the results show that, for some parameters, MR damping may transit to chaotic motions.
Keywords
chaos; bifurcation; MR damping; control; attractor;
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1 Warminski, J. and Kecik, K. (2012b), "Autoparametric vibrations of an nonlinear system with a pendulum and magnetorheological damping", Nonlin. Dyn. Phenomena Mech., Eds. Warminski, J., Lenci, S., Cartmell, M.P., Rega, G. and Wiercigroch, M., Solid Mechanics and its Applications, 181, 1-62.   DOI
2 Yoshioka, H., Ramallo, J.C. and Spencer, B.F. (2002), "Smart base isolation strategies employing magnetorheological dampers", J. Eng. Mech., 128(5), 540-551.   DOI   ScienceOn
3 Abarbanel, H.D.I. (1996), Analysis of observed chaotic data, Springer, New York.
4 Hegger, R. and Kantz, H. (1999), "Practical implementation of nonlinear time series methods: the TISEAN package", Chaos, 9, 413-435.   DOI
5 Horton, B.W. and Wiercigroch, M. (2008), "Effects of heave excitation rotations of a pendulum for wave energy extraction", IUTAM Bookseries, Symposium on Fluid-Structure Interaction in Ocean Engineering, 8, 117-128.
6 Kapitaniak, M., Perlikowski, P. and Kapitaniak, T. (2103), "Synchronous motion of two vertically excited planar elastic pendula", Commun. Nonlin. Sci. Numer. Simul., 18(8), 2088-2096.   DOI   ScienceOn
7 Kantz, H. and Schreiber, T. (1999), Nonlinear time series analysis, Cambridge University Press, London.
8 Kecik, K. and Warminski, J (2010), "Analysis of chaotic and regular motions of an autoparametric system by recurrence plots applications'', Vib. Phys. Syst., 24, 221-226.
9 Kecik, K. and Warminski, J. (2011), "Dynamics of an autoparametric pendulum-like system with a nonlinear semiactive suspension", Math. Prob. Eng., Article ID 451047.
10 Nagasaka, Y., Ishida, T. and Ishii, T. (2007), "Vibration suppression of helicopter blades by pendulum absorbers analytical and experimental investigation in case of rigid-body mode", Trans. Jap. Soc. Mech. Eng. Part C, 73(725), 129-137.   DOI
11 Spencer, B.F. and Sain, M.K. (1997), "Controlling buildings: a new frontier feedback", Special Issue of the IEEE Control System Magazine of Emerging Technology, 17, 19-35.   DOI   ScienceOn
12 Tang, D., Gavin, H.P. and Dowell, E.H. (2004), "Study of airfoil gust response alleviation using an electromagnetic dry friction damper-part 1: theory", J. Sound. Vib., 269(3-5), 853-874.   DOI   ScienceOn
13 Warminski, J. and Kecik, K. (2009), "Instabilities in the main parametric resonance area of mechanical system with a pendulum", J. Sound Vib., 332, 612-628.
14 Warminski, J. and Kecik, K. (2009), "Regular and chaotic motions of an autoparametric real pendulum system with the use of a MR damper", Model., Simul. Control Nonlin. Eng. Dyn. Syst., 267-276.
15 Kecik, K. and Warminski, J. (2012a), "Chaos in mechanical pendulum-like system near main parametric resonance", Procedia IUTAM, 5, 249-258.   DOI   ScienceOn
16 Kecik, K. (2012), "Zastosowanie tlumika magnetoreologicznego do sterowania drganiami w ukladzie mechanicznym z wahadlem", Przeglad Elektrotechniczny (Electrical Review), 2, 223-226.
17 Kecik, K., Mitura, A., Sado, D. and Warminski, J. (2014), "Magnetorheological damping and semi-active control of an autoparametric vibration absorber", Meccanica, 49(8), 1887-1900.   DOI   ScienceOn