Structural Engineering and Mechanics

  • 제51권5호
  • /
  • Pages.743-754
  • /
  • 2014
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

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

  • Kecik, Krzysztof (Department of Applied Mechanics, Lublin University of Technology)
  • 투고 : 2013.06.19
  • 심사 : 2014.05.27
  • 발행 : 2014.09.10
⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

과제정보

연구 과제 주관 기관 : National Science Centre

참고문헌

  1. Abarbanel, H.D.I. (1996), Analysis of observed chaotic data, Springer, New York.
  2. Hegger, R. and Kantz, H. (1999), "Practical implementation of nonlinear time series methods: the TISEAN package", Chaos, 9, 413-435. https://doi.org/10.1063/1.166424
  3. 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.
  4. 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. https://doi.org/10.1016/j.cnsns.2012.12.030
  5. Kantz, H. and Schreiber, T. (1999), Nonlinear time series analysis, Cambridge University Press, London.
  6. 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.
  7. Kecik, K. and Warminski, J. (2011), "Dynamics of an autoparametric pendulum-like system with a nonlinear semiactive suspension", Math. Prob. Eng., Article ID 451047.
  8. Kecik, K. and Warminski, J. (2012a), "Chaos in mechanical pendulum-like system near main parametric resonance", Procedia IUTAM, 5, 249-258. https://doi.org/10.1016/j.piutam.2012.06.034
  9. Kecik, K. (2012), "Zastosowanie tlumika magnetoreologicznego do sterowania drganiami w ukladzie mechanicznym z wahadlem", Przeglad Elektrotechniczny (Electrical Review), 2, 223-226.
  10. 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. https://doi.org/10.1007/s11012-014-9892-2
  11. 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. https://doi.org/10.1299/kikaic.73.129
  12. 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. https://doi.org/10.1109/37.642972
  13. 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. https://doi.org/10.1016/S0022-460X(03)00180-9
  14. 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.
  15. 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.
  16. 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. https://doi.org/10.1007/978-94-007-2473-0_1
  17. Yoshioka, H., Ramallo, J.C. and Spencer, B.F. (2002), "Smart base isolation strategies employing magnetorheological dampers", J. Eng. Mech., 128(5), 540-551. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:5(540)

피인용 문헌

  1. Assessment of energy harvesting and vibration mitigation of a pendulum dynamic absorber vol.106, 2018, https://doi.org/10.1016/j.ymssp.2017.12.028