Abstract
A maximum likelihood estimation (MLE) approach is applied via the perturbation method, to vibrating beam and plate structures with uncertainty. In both cases the focus is on estimating the statistical properties of the position of an attached point-mass. For the beam structures, frequency information with a closed form Jacobian is used in two specific cases and compared with a numerically determined Jacobian and a Finite Element implementation. Application of MLE to a simply-supported-plate with an attached point-mass of unknown position uses mode shape information in the form of the coefficients obtained from the Rayleigh-Ritz method. The paper shows that appropriate combinations of this mode shape information allows variance reduction of parameter estimates when using relatively small numbers of random samples.
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© 2011 Springer Science+Business Media B.V.
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Dunne, J.F., Riefelyna, S. (2011). Structural Uncertainty Identification using Vibration Mode Shape Information. In: Belyaev, A., Langley, R. (eds) IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties. IUTAM Bookseries, vol 27. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0289-9_23
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DOI: https://doi.org/10.1007/978-94-007-0289-9_23
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-0288-2
Online ISBN: 978-94-007-0289-9
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