Non-Gaussian Noise Effects on Reliability of Multistable Systems.
Non-Gaussian Noise Effects on Reliability of Multistable
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
noise (sound); equations; structural stability
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.