Transactions of the Korean Society of Machine Tool Engineers (한국공작기계학회논문집)

The Korean Society of Manufacturing Technology Engineers (한국생산제조학회)
권호 표지

Response of an Elastic Pendulum under Random Excitations

불규칙 가진을 받는 탄성진자의 응답 해석

  • 이신영 (국립군산대학교 기계자동차공학부)
  • Published : 2009.04.15
Download PDF
⟨ Previous Next ⟩

Abstract

Dynamic response of an elastic pendulum system under random excitations was studied by using the Lagrangian equations of motion which uses the kinetic and potential energy of a target system. The responses of random excitations were calculated by using Monte Carl simulation which uses the series of random numbers. The procedure of Monte Carlo simulation is generation of random numbers, system model, system output, and statistical management of output. When the levels of random excitations were changed, the expected responses of the pendulum system showed various responses.

Keywords

References

  1. Chen, J. B. and Li, J., 2005, "Dynamic response and reliability analysis of non-linear stochastic structure," Probabilistic Engineering Mechanics, Vol. 20, pp. 33-44. https://doi.org/10.1016/j.probengmech.2004.05.006
  2. Spanos, P. D. and Zeldin, B. A., 1998, "Monte Carlo treatment of random fields: a broad perspective," Applied Mechanics Review, Vol. 51, No. 3, pp. 219-237. https://doi.org/10.1115/1.3098999
  3. Klosner, J. M. and Haber, S. F., 1992, "Response of non-linear systems with parameter uncertainties," International Journal of Non-Linear Mechanics, Vol. 27, No. 4, pp. 547-563. https://doi.org/10.1016/0020-7462(92)90060-K
  4. Liu, W. K., Besterfield, G., and Belytschko, T., 1988, "Transient probabilistic systems," Computing Methods on Applied Mechanics and Engineering, Vol. 67, No. 1, pp. 27-54. https://doi.org/10.1016/0045-7825(88)90067-9
  5. Bernard, P., 1998, "Stochastic linearization: what is available and what is not," Computers and Structures, Vol. 67, pp. 9-18. https://doi.org/10.1016/S0045-7949(97)00151-X
  6. Lin, Y. K., and Cai, G. Q., 2004, Probabilistic Structural Dynamics: Advanced Theory and Applications, McGraw-Hill, New York.
  7. Cho, D. S., 2001, "Nonlinear Vibration Responses of a Spring-Pendulum System under Random Base Excitations," J. of KSPE, Vol. 18, No. 3, pp. 175-181.
  8. Lee, S. Y., 2007, "Nonlinear random vibration responses of an elastic pendulum system," Proc. of the KSMTE Autumn Conference, pp. 172-177.
  9. Marek, P., Brozzetti, J., and Gustar, M., 2001, Probabilistic Assessment of Structures using Monte Carlo Simulation, Institute of Theoretical and Applied Mechanics, Praha Czech.
  10. Landau, D. P. and Binder, K., 2000, A Guide to Monte Carlo Simulations in Statistical Physics, Cambridge University Press, Cambridge.
  11. Meirovitch, L., 1985, Introduction to Dynamics and Control, John Wiley & Sons, New York.
  12. Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T., 1988, Numerical Recipes in C, Cambridge University Press, New York.