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Experimental study on amplitude-frequency characteristic and basin stability of horizontally driven pendulum

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Treść / Zawartość
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Języki publikacji
EN
Abstrakty
EN
In this article, an inverted pendulum system is set up to explore the dynamics of a horizontally driven pendulum which exhibits a great variety of dynamical behavior and appears in a wide range of applications in the field of engineering. The facility is efficient to experimentally explore two kinds of coexisting movement patterns in the horizontally driven pendulum, i.e. in-phase and anti-phase patterns between the angular velocity of the pendulum rod and the direction of the driving forces. Theoretical analysis is applied to reveal the regimes of the coexistence of the two movement patterns, which is promising to control the system to a desired pattern.
Rocznik
Strony
839--846
Opis fizyczny
Bibliogr. 15 poz., rys.
Twórcy
autor
  • School of Science, Beijing University of Posts and Telecommunications, Beijing, China
autor
  • School of Science, Beijing University of Posts and Telecommunications, Beijing, China State Key Lab of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing, China
autor
  • School of Science, Jiangxi University of Science and Technology, Ganzhou, China
autor
  • School of Science, Beijing University of Posts and Telecommunications, Beijing, China State Key Lab of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing, China
Bibliografia
  • 1. Aguirre J., Sanjuan M.A.F., 2002, Unpredictable behavior in the Duffing oscillator: Wada basins, Physica D, 171, 1/2, 41-51
  • 2. Baker G.L., 1995, Control of the chaotic driven pendulum, American Journal of Physics, 63, 9, 832-838
  • 3. Heng H., Martienssen W., 1992, Analysing the chaotic motion of a driven pendulum, Chaos, Solitons and Fractals, 2, 3, 323-334
  • 4. Leven R.W., Koch B.P., 1981, Chaotic behavior of paramentrically excited damped pendulum, Physics Letters A, 86, 2, 71-74
  • 5. Masoud Z.N., Nayfeh A.H., Mook D.T., 2004, Cargo pendulation reduction of ship-mounted cranes, Nonlinear Dynamics, 35, 3, 299-311
  • 6. Menck P.J., Heitzig J., Marwan N., Kurths J., 2013, How basin stability complements the linear-stability paradigm, Nature Physics, 9, 2, 89-98
  • 7. Mokha A., Constantinou M.C., Reinhorn A.M., Zayas V.A., 1991, Experimental study of friction-pendulum isolation systeme, Journal of Ftructural Engineering, 117, 4, 1201-1217
  • 8. Nakamura Y., Saruta M., Wada A., Takeuchi T., Hikone S., Takahashi T., 2011, Development of the core-suspended isolation system, Earthquake Engineering and Structural Dynamics, 40, 4, 429-447
  • 9. Sauer I.M., Frank J., Bucherl E.S., 1999, Proposal of a new electromechanical total artificial heart: the TAH Serpentina, Aritificial Organs, 23, 3, 290-291
  • 10. Schmitt J.M., Bayly P.V., 1998, Bifurcations in the mean angle of a horizontally shaken pendulum: analysis and experiment, Nonlinear Dynamics, 15, 1, 1-14
  • 11. Thakur R.B., English L.Q., Sievers A.J., 2008, Driven intrinsic localized modes in a coupled pendulum array, Journal of Physics D-Applied Physics, 41, 1, 015503
  • 12. Wu Y., Song Z., Liu W., Jia J., Xiao J., 2014, Experimental and numerical study on the basin stability of the coupled metronomes, European Physical Journal-Special Topics, 223, 4, 697-705
  • 13. Wu Y., Wang N.C., Li L.X., Xiao J., 2012, Anti-phase synchronization of two coupled mechanical metronomes, Chaos, 22, 2, 5
  • 14. Wu Y., Xiao J.H., Hu G., Zhan M., 2012, Synchronizing large number of nonidentical oscillators with small coupling, Europhysics Letters, 97, 4, 6
  • 15. Yan X., Tristram J.A., Harvinder S.S., 2012, Instability dynamics of a horizontally shaken pendulum, Australian and New Zealand Industrial and Applied Mathematics, 53 (EMAC2011), C325-C339
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-f0840846-d466-40a9-a574-301a10c4b752
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