A Survey of Probabilistic Methods for Dynamical Systems with Uncertain Parameters.
KOZIN BOGDANOFF AND ASSOCIATES INC WEST LAFAYETTE IN
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The purpose of this report is to present a survey of techniques that are available for studying the effect of random parameters on the response characteristics of linear dynamical parameters on the response characteristics of linear dynamical systems. The report is directed towards the properties of the solutions of ordinary linear differential equations with random parameters. Both time independent constant random parameters, and time varying parameter systems are discussed. The motivation is the study of structures with random parameters. Keywords Stochastic process Random vibrations Structural response Random parameters Uncertain systems Perturbation and White nose coefficients. Author
- Statistics and Probability