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Response and Reliability Analysis of Duffing Oscillators Subject to Narrow Band Stationary Gaussian Excitations

by Mircea Grigoriu, Cornell Univ, United States,



Document Type: Proceeding Paper

Part of: Structural Safety and Reliability

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: Stochastic processes | Oscillations | Gaussian process | Excitation (physics) | Dynamic structural analysis | Stationary processes | Probability

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