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Non-Gaussian Noise Effects on Reliability of Multistable Systems.


pdf icon Non-Gaussian Noise Effects on Reliability of Multistable Systems. (543 K)
Simiu, E.; Grigoriu, M.

American Society of Mechanical Engineers (ASME). Proceedings of the 12th International Conference on Offshore Mechanics and Arctic Engineering (OMAE) 1993. Volume 2. Safety and Reliability. June 20-24, 1993, Glasgow, Scotland, Soares, C. G.; Baker, M. J.; Labeyrie, J.; Lacasse, S., Editor(s)(s), 65-71 pp, 1993.

Journal of Offshore Mechanics and Arctic Engineering, Vol. 117, No. 3, 166-170, August 1995.

Sponsor:

Office of Naval Research, Washington, DC

Keywords:

noise (sound); equations; structural stability

Abstract:

For certain types of compliant structures the designer must consider limit states associated with the onset of fluidelastic instability. These limit states may include bifurcations from motion in a safe region of phase space to chaotic motion with exits (jumps) out of the safe region. In practice such bifurcations occur in systems with noisy or stochastic excitations. For a wide class of dynamical systems, a fundamental connection between deterministic and stochastic chaos allows the application to stochastic systems of a necessary condition for the occurrence of chaos obtained by Melnikov for the deterministic case. We discuss the application of this condition to obtain probabilities that chaotic motions with jumps cannot ocur in multistable systems excited by processes with tail-limited marginal distributions.