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- W2013771657 abstract "At medium to high frequencies small changes in the properties of a structure can have a significant effect on the vibrational response. The theoretical methods which are currently available to assess the influence of structural uncertainties are either probabilistic (for example, Monte Carlo simulations, FORM and SORM reliability methods, and asymptotic analysis of probability integrals) or possibilistic (for example, convex modeling, interval analysis, and fuzzy set theory). The interrelationships between these methods are far from clear, and research in each area tends to progress independently of the others. It is shown here that there is a very close relationship between asymptotic analysis, FORM, SORM, and the full range of possibilistic techniques: in fact, a single algorithm can encompass all the methods. This means that software developed for FORM and SORM can be applied to convex modeling (for example) providing the input variables and output quantities are reinterpreted in an appropriate way. It then becomes straightforward to select and implement the analysis method most suited to the available data. The theoretical developments are illustrated here by application to an example dynamic system." @default.
- W2013771657 created "2016-06-24" @default.
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- W2013771657 date "1999-10-01" @default.
- W2013771657 modified "2023-09-24" @default.
- W2013771657 title "Models of uncertainty in structural dynamics" @default.
- W2013771657 doi "https://doi.org/10.1121/1.427967" @default.
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