불규칙 지반 가진력을 받는 탄성진자계의 비선형진동응답

Nonlinear Vibration Responses of a Spring-Pendulum System under Random Base Excitation

  • 조덕상 (영남대학교 공업기술연구소)
  • 발행 : 2001.03.01

초록

An investigation into the response statistics of a spring-pendulum system whose base oscillates randomly along vertical and horizontal line is made. The spring-pendulum system with internal resonance examined is known to be a good model for a variety of engineering systems, including ship motions with nonlinear coupling between pitching and rolling motions. The Fokker-Planck equation is used to generate a general first-order differential equations for the random responses of the system are reduced to a system of autonomous ordinary differential equations. In view of equilibrium solutions of this system and their stability, the response statistics is examined. It is seen that increase in horizontal excitation level leads to a decreased width of the internal resonance region.

키워드

참고문헌

  1. Ibrahim, R. A., 'Recent results in random vibrations of nonlinear mechanical systems,' ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design, Vol. 117, pp. 222-233, 1995
  2. Ibrahim, R. A. and Heo, H., 'Autoparametric vibration of coupled beams under random support motion,' ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design, Vol. 108, pp. 421-426, 1986
  3. Ibrahim, R. A., 'Nonlinear random vibration: experimental results,' Applied Mechanics Review, Vol. 44, pp. 423-446, 1991
  4. Roberts, J. W., 'Random Excitation of a Vibratory System with Autoparametric Interaction,' Journal of Sound and Vibration, Vol. 69(1), pp. 101-116, 1980 https://doi.org/10.1016/0022-460X(80)90437-X
  5. Ibrahim, R. A. and Roberts, J. W., 'Stochastic Stability of the Stationary Response of a System with Autoparametric Coupling,' Zeitschrift fur Angewandte Mathematik and Mechanik 57, pp. 643-649, 1977 https://doi.org/10.1002/zamm.19770571104
  6. Lee, W. K. and Cho, D. S., 'Damping Effect of a Randomly Excited Autoparametric System,' Journal of Sound and Vibration, Vol. 236(1), pp. 23-29, 2000 https://doi.org/10.1006/jsvi.2000.2965
  7. 이원경, 조덕상, '광대역 불규칙가진력을 받는 탄성진자계의 내부공진효과,' 한국소음진동공학회지, 제8권, 제3호, pp.399-407, 1998
  8. 조덕상, 이원경, '내부공진을 가진 탄성진자계의 불규칙 진동응답을 위한 두 해석해의 비교,' 한국소음진동공학회지, 제8권, 제4호, pp.715-722, 1998
  9. Cho, D. S. and Lee, W. K., 'Modal Interactions of a Randomly Excited Hinged-Clamped Beam,' Journal of Sound and Vibration, Vol. 237(3), pp. 377-393, 2000 https://doi.org/10.1006/jsvi.2000.3030
  10. Ibrahim, R. A., 'Parametric random vibration,' New York: John Wiley, pp. 34-44 and 72-75, 1985
  11. Soong, T. T. and Grigoriu, M., 'Random vibration of mechanical and structural systems,' Englewood Cliffs, New Jersey: Prentice-Hall International, Inc., pp. 127-130 and 217-218, 1993
  12. Lin, Y. K., 'Probabilistic Theory of Structural Dynamics,' Robert E. Krieger Publishing Co, pp. 24-30, 1976