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An FRF Bounding Method for Randomly Uncertain Structures with or without Coupling to an Acoustic Cavity
An efficient frequency response function (FRF) bounding method is proposed using asymptotic extreme-value theory. The method exploits a small random sample of realised FRFs obtained from nominally identical structures to predict corresponding FRF bounds for a substantially larger batch. This is useful for predicting forced-vibration levels in automotive vehicle bodies when parameters are assumed to vary statistically. Small samples are assumed to come either from Monte Carlo simulation using a vibration model, or via measurements from real structures. The basis of the method is to undertake a hypothesis test and if justified, repeatedly fit inverted Type I asymptotic threshold exceedance models at discrete frequencies, for which the models are not locked to a block size (as in classical extreme-value models). The chosen FRF `bound is predicted from the inverse model in the form of the `m-observational return level, namely the level that will be exceeded on average once in every m structures realised.
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Publication status
- Published
Journal
Journal of Sound and VibrationISSN
0022-460XExternal DOI
Issue
1-2Volume
322Page range
98-134Pages
36.0Department affiliated with
- Engineering and Design Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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