Journal of Mechanical Science and Technology

  • 제17권1호
  • /
  • Pages.97-104
  • /
  • 2003
  • /
  • 1738-494X(pISSN)
  • /
  • 1976-3824(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
권호 표지

Modal Interactions in an Autoparametric Vibration Absorber to Narrow Band Random Excitation

  • Cho, Duk-Sang (School of Mechanical Engineering, Sangju National University) ;
  • Mo, Chang-Ki (School of Mechanical Engineering, Sangju National University) ;
  • Ban, Gab-Su (School of Mechanical Engineering, Sangju National University) ;
  • Lee, Kwang-Ho (School of Mechanical Engineering, Sangju National University)
  • 발행 : 2003.01.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

The main objectives of this study are to examine the random responses of a vibration absorber system with autoparametric coupling in the neighborhood of internal resonance subjected to narrow band random excitation by Gaussian closure scheme and to compare the results with those obtained by Monte Carlo simulation. The Monte Carlo simulation is found to support the main features of the nonlinear modal interaction in the neighborhood of internal resonance conditions. The jump phenomenon of the cantilever mode and saturation phenomenon of the main system are shown to occur if the excitation bandwidth is sufficiently small.

키워드

참고문헌

  1. Cho, D. S. and Lee, W. K., 2000, 'Modal Interactions of a Randomly Excited Hinged-Clamped Beam,' Journal of Sound & Vibration, Vol. 237, No. 3, pp. 377-393 https://doi.org/10.1006/jsvi.2000.3030
  2. Haxton, R. S. and Barr, A. D. S., 1972, 'The Autoparametric Vibration Absorber,' ASME Journal of Engineering for Industry, Vol. 94, pp. 119-125 https://doi.org/10.1115/1.3428100
  3. Ibrahim, R. A. and Li, W., 1988, 'Structural Modal Interaction with Combination Internal Resonance under Wide-Band Random Excitation,' Journal of Sound & Vibration, Vol. 123, No. 3, pp. 473-495 https://doi.org/10.1016/S0022-460X(88)80164-0
  4. Ibrahim, R. A. and Roberts, J. W., 1976, 'Broad Band Random Excitation of a Two-Degree-of-Freedom System with Autoparametric Coupling,' Journal of Sound & Vibration, Vol. 44, No. 3, pp. 335-348 https://doi.org/10.1016/0022-460X(76)90506-X
  5. Ibrahim, R. A. and Roberts, J. W., 1977, 'Stochastic Stability of the Stationary Respones of a System with Autoparametric Coupling,' Zeitschrift fur Angewandte Mathematik and Mechanik, Vol. 57, pp. 643-649 https://doi.org/10.1002/zamm.19770571104
  6. Ibrahim, R. A., 1995, 'Recent Results in Random Vibrations of Nonlinear Mechanical Systems,' ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design, Vol. 117, pp. 222-233 https://doi.org/10.1115/1.2838667
  7. Ibrahim, R. A., 1991, 'Nonlinear Random Vibration : Experimental Results,' Applied Mechanics Review, Vol. 44, pp. 423-446 https://doi.org/10.1115/1.3119487
  8. Lee, W. K. and Cho, D. S, 1998, 'Influence of Internal Resonance on Responses of a Spring-Pendulum System under Broad Badn Random Excitatiom,' Journal of KSNVE, Vol. 8, No. 3, pp. 399-407
  9. Lee, W. K. and Cho, D. S., 2000, 'Damping Effect of a Randomly Excited Autoparametric System,' Journal of Sound & Vibration, Vol. 236, No. 1, pp. 23-31 https://doi.org/10.1006/jsvi.2000.2965
  10. Lee, W. K. and Hsu, C. S., 1994, 'A Global Analysis of an Harmonically Excited Spring-Pendulum System with Internal Resonance,' Journal of Sound and Vibration, Vol. 171, No. 3, pp. 335-359 https://doi.org/10.1006/jsvi.1994.1125
  11. Li, W. and Ibrahim, R. A., 1990, 'Monte Carlo Simulation of Coupled Nonlivear Oscillators under Random Excitations,' ASME Journal of Applied Mechanics, Vol. 57, pp. 1097-1099 https://doi.org/10.1115/1.2897638
  12. Lin, Y. K. and Cai, G. Q., 1995, Probabilistic Structural Dynamics Advanced Theory and Application, McGraw-Hill, Inc
  13. Minorsky, N., 1962, Nonlinear Oscillations, Princeton : Roberty E. Krieger
  14. Nayfeh, A. H. and Mook, D. T., 1979, Nonlinear Oscillation, Wiley-Interscience
  15. Roberts, J. W., 1980, 'Random Excitation of a Vibratory System with Autoparametric Interaction,' Journal of Sound & Vibration, Vol. 69, No. 1, pp. 101-116 https://doi.org/10.1016/0022-460X(80)90437-X
  16. Shinozuka, M. and Deodatis, G., 1991, 'Simulation of Stochastic Processes by Spectral Representation,' Applied Mechanics Review, Vol. 44, pp. 191-204 https://doi.org/10.1115/1.3119501