Influence of Internal Resonance on Responses of an Autoparametric Vibration Absorber under Random Excitation

불규칙 가진력을 받는 동흡진기의 내부공진효과

  • 조덕상 (영남대학교 공업기술연구소) ;
  • 이원경 (영남대학교 기계공학부)
  • Published : 2000.12.01

Abstract

The main objectives of this study are to examine the random response of a vibration absorber system with autoparametric coupling in the neighborhood of internal resonance by Gaussian closure and to compare the results with those obtained by Monte Carlo simulation. The numerical simulation is found to support the main features of the nonlinear modal interaction in the neighborhood of internal resonance conditions. While the Gaussian closure exhibits regions of multiple solutions in the neighborhood of internal resonance, the numerical simulation gives only one solution depending on the assigned initial conditions. The on-off intermittency phenomena of the cantilever mode is observed in the Monte Carlo simulation over a small range of parameter.

Keywords

References

  1. Nonlinear Oscillations Nayfeh, A. H.;Mook, D. T.
  2. ASME Journal of Engineering for Industry v.94 The Autoparametric Vibration Absorber Haxton, R. S.;Barr, A. D. S.
  3. Journal of Sound and Vibration v.104 Non-linear Vibratory Interactions in Systems of Coupled Beam Bux, S. L.;Roberts, J. W.
  4. Journal of Hydronautics v.7 no.4 Nonlinear Coupling of Pitch and Roll Modes in Ship Motions Nayfeh, A. H.;Mook, D. T.;Marshall, L. R.
  5. Journal of Sound and Vibration v.171 no.3 A Global Analysis of an Harmonically Excited Spring-pendulum System with Internal Resonance Lee, W. K.;Hsu, C. S.
  6. Nonlinear Dynamics v.14 Chaotic Dynamics of an Harmonically Excited Spring-pendulum System with Internal Resonance Lee, W. K.;Park, H. D.
  7. ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design v.117 Recent Results in Random Vibrations of Nonliear Mechanical Systems Ibrahim, R. A.
  8. ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design v.108 Autoparametric Vibration of Coupled Beams under Random Support Motion Ibrahim, R. A.;Heo, H.
  9. Applied Mechanics Review v.44 Nonlinear Random Vibration : Experimental Results Ibrahim, R. A.
  10. 한국소음진동공학회지 v.8 no.3 광대역 불규칙가진력을 받는 탄성진자계의 내부공진효과 이원경;조덕상
  11. Stochastic Stability of the Stationary Response of a System with Autoparametric Coupling, Zeitschrift fur Angewandte Mathematik and Mechanik v.57 Ibrahim, R. A.;Roberts, J. W.
  12. Journal of Sound and Vibration v.69 no.1 Random Excitation of a Vibratory System with Autoparametric Interaction Roberts, J. W.
  13. Journal of Sound and Vibration v.123 no.3 Structural Modal Interaction with Combination Internal Resonance under Wide-Band Random Excitation Ibrahim, R. A.;Li, W.
  14. Journal of Sound and Vibration v.236 no.1 Damping Effect of a Randomly Excited Autoparametric System Lee, W. K.;Cho, D. S.
  15. Journal of Sound and Vibration v.237 no.3 Modal interactions of a Randomly Excited Hinged-Clamped Beam Cho, D. S.;Lee, W. K.
  16. Parametric Random Vibration Ibrahim, R. A.
  17. Random Vibration of Mechanical and Structural Systems Soong, T. T.;Grigoriu, M.
  18. Random Vibration of Structure Yang, C. Y.
  19. Applied Mechanics Review v.44 Simulation of Stochastic Processes by Spectral Representation Shinozuka, M.;Deodatis, G.
  20. The Structure of Turbulent Shear Flow (2nd Edition) Townsend, A. A.
  21. Physical Review Letters v.70 no.3 On-Off Intermittency: A Mechanism for Bursting Platt, N.;Spiegal, E. A.;Tresser, C.
  22. Physical Review Letters v.72 no.22 Effect of Additive Noise on On-Off Intermittency Platt, N.;Hammel, S. M.;Heagy, J. F.
  23. Physical Review E v.49 no.2 Characterization of On-Off Intermittency Heagy, J. F.;Platt, N.;Hammel, S. M.