Response and Reliability Analysis of Duffing Oscillators Subject to Narrow Band Stationary Gaussian Excitationsby Mircea Grigoriu, Cornell Univ, United States,
Abstract: Methods are developed for estimating the probability of oscillations on the lower and upper stable branches of the input-output amplitude relationship for a Duffing oscillator subject to a narrow band stationary Gaussian excitation. The analysis is based on the crossing theory of differentiable processes and diffusion models. Proposed estimates are evaluated by simulation.
Subject Headings: Gaussian process | Excitation (physics) | Stationary processes | Vibration | Structural models
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