Incorporating Uncertainty in a Dynamic Structural Analysisby Eric M. Freyer, BDM Corp, Albuquerque, NM, USA,
Stewart W. Johnson, BDM Corp, Albuquerque, NM, USA,
Abstract: A methodology has been developed and exercised for taking into account parametric uncertainties in a structural dynamics analysis and providing an approximation of the probability of response. The method utilizes standard statistical theory to identify the effect on response of variations in one or more analysis variables and replace the complex structural dynamics model with a relatively simple functional relationship describing a unique system response. This function enables the conduct of a Monte Carlo analysis, where such an analysis of the structural dynamics model itself would have been prohibitively costly. An example is presented which assesses the relative effects of changes in 11 separate variables, providing both a quantification of the effect on response of variations in individual variables as well as a mechanism for rank ordering the importance of changes in each variable.
Subject Headings: Dynamic structural analysis | Structural dynamics | Uncertainty principles | Approximation methods | Parameters (statistics) | Structural models | Dynamic models | Probability | Europe | Monaco | Monte Carlo
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