Discrete Enforcement of Uncertain Oscillator Gaussian Response

by L. J. Branstetter, Div 1524, Sandia Natl Lab, United States,
G. D. Jeong, Div 1524, Sandia Natl Lab, United States,



Document Type: Proceeding Paper

Part of: Structural Safety and Reliability

Abstract:

A limited number of step-by-step procedures have been developed to recursively evaluate the response moments of uncertain systems. In several of these procedures, the recursive evaluation depends on discrete enforcement of a Gaussian approximation to the displacement and velocity response random processes. In this paper, the error associated with such an approximation is isolated for a simple system using an analytic method which is not itself approximate in the manner of perturbation or Monte Carlo approaches.

Subject Headings: Approximation methods | Gaussian process | Stochastic processes | Probability | Numerical methods | Vibration | Uncertainty principles

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