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Non-Gaussian noise effects on reliability of multistable systems

Journal Article · · Journal of Offshore Mechanics and Arctic Engineering
DOI:https://doi.org/10.1115/1.2827085· OSTI ID:118774
 [1];  [2]
  1. National Institute of Standards and Technology, Gaithersburg, MD (United States)
  2. Cornell Univ., Ithaca, NY (United States). Dept. of Civil Engineering

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 connections between deterministic and stochastic chaos allows the application to stochastic systems of a necessary condition for the occurrence of chaos originally obtained by Melnikov for the deterministic case. The authors discuss the application of this condition to obtain probabilities that chaotic motions with jumps cannot occur in multistable systems excited by processes with tail-limited marginal distribution.

Sponsoring Organization:
USDOE
OSTI ID:
118774
Journal Information:
Journal of Offshore Mechanics and Arctic Engineering, Journal Name: Journal of Offshore Mechanics and Arctic Engineering Journal Issue: 3 Vol. 117; ISSN 0892-7219; ISSN JMOEEX
Country of Publication:
United States
Language:
English

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