Journal of KSNVE (소음진동)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Influence of Internal Resonance on Responses of a Spring-Pendulum System under Broad Band Random Excitation

광대역 불규칙 가진력을 받는 탄성진자계의 내부공진효과

  • 이원경 (영남대학교 공과대학 기계공학부) ;
  • 조덕상 (한국전력기술(주) 원자로설계개발단)
  • Published : 1998.06.01
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Abstract

An investigation into the modal interaction of an autoparameteric systemunder broad-band random excitation is made. The specific system examined is a spring-pendulum system with internal resonance, which is known to be a good model for a variety of engineering systems, including ship motions with nonlinear coupling between pitching and rolling motions. By means of the Gaussian closure method the dynamic moment equations explaining the random responses of the system are reduced to a system of autonomous ordinanary differential equations of the first and second moments. In view of equilibrium solutions of this system and their stability we examine the system responses. The stabilizing effect of system damping is also examined.

Keywords

References

  1. Nonlinerar Oscillations Minorsky, N.
  2. ASME Journal of Applied Mechanics v.35 On a Class of Two-degree-of-freedom Oscillations Kane, T. R.;Kahn, M. E.
  3. Journal of Mathematical Physics v.22 no.6 The Elastic Pendulum: a Nonlinear Parading Breitenberger, E.;Mueller, R. D.
  4. ASME Journal of Engineering for Industry v.94 The Autoparametric Vibration Absorber Haxton, R. S.;Barr. A. D. S.
  5. Journal of Sound and Vibration v.97 no.3 Theoretical and Experimental Study of Modal Interaction in a Two-Degree-of-Freedom Structure Haddow, A. G.;S. Barr, A. D. S.;Mook, D. T.
  6. Journal of Sound and Vibration v.104 Non-linear Vibratory Interactions in Systems of Coupled Beam Bux, S. L.;Roberts, J. W.
  7. 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.
  8. Journal of Applied Mechanics v.55 Experimental Observation of Amplitude and Phase-Moculated Responses of Two Internally Coupled Oscillators to a Harmonic Excitation Nayfeh, A. H.;Zavodney, L. D.
  9. Journal of Sound & Vibration v.171 no.3 A Global Analysis of an Harmonically Excited Spring-Pendulum System with Internal Resonance Lee, W. K.;Hsu, C. S.
  10. ASME Journal of Applied Mechanics v.62 Combination Resonances of a Circular Plate with Three-Mode Interaction Lee, W. K.;Kim, C. H.
  11. Nonlinear Dynamics v.14 Chaotic Dynamics of and Harmonicallly Excited Spring-Pendulum System with Internal Resonance Lee, W. K.;Park, H. D.
  12. ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design v.117 Recent Results in Random Vibrations of Nonlinear Mechanical Systems Ibrahim, R. A.
  13. ASME Journal of Applied Mechanics v.52 Stochastic Response of Nonlinear Dynamic Systems Based on a Non-Gaussian Closure Ibrabim, R. A.;Soundararajan, A.;Heo, H.
  14. Journal of Sound & Vibration v.44 no.3 Broad Band Random Excitation of a Two-Degree-of-Freedom System with Auto-parametric Coupling Ibrahim, R. A.;Roberts, J. W.
  15. ASME Journal of Vibration, Acoustics, Stress, and Reliabillity in Design v.108 Autoparametric Vibration of Coupled Beams Under Random Support Motion Ibrahim, R. A.;Heo, H.
  16. Journal of Sound & Vibration v.123 no.3 Structural Modal Interaction with Combination Internal Resonance under Wide-Band Random Excitation Ibrahim, R. A.;Li, W.
  17. Applied Mechanics Review v.44 Nonlinear random vibration: Experimental results Ibrahim, R. A.
  18. Zeitschrift fur Angewandte Mathe-matik and Mechanik 57 Stochastic Stability of the Stationary Response of a System with Autoparametric Coupling Ibrahim, R. A.;Roberts, J. W.
  19. Journal of Sound & Vibration v.69 no.1 Random Excitation of a Vibratory System with Autoparametric Interaction Robers, J. W.
  20. Parametric Random Vibration Ibrahim, R. A.
  21. Random Differential Equations in Science and Engineering Soong, T. T.
  22. Probabilistic Theory of Structural Dynamics Lin, T. K.
  23. Random Vibration of Mechanical and Structural Systems Soong, T. T.;Grigoriu, M.