Quantifying uncertainty in material damage from vibrational data

The response of a vibrating beam to a force depends on many physical parameters including those determined by material properties. Damage caused by fatigue or cracks results in local reductions in stiffness parameters and may drastically alter the response of the beam. Data obtained from the vibrati...

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Bibliographic Details
Published inJournal of computational physics Vol. 283
Main Authors Butler, T., Huhtala, A., Juntunen, M.
Format Journal Article
LanguageEnglish
Published United States 15.02.2015
Subjects
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COMPUTERIZED SIMULATION
CRACKS
DAMAGE
ERRORS
FATIGUE
FILTERS
FLEXIBILITY
INTERFACES
MEASURE THEORY
PROBABILITY
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ISSN0021-9991
1090-2716
DOI10.1016/J.JCP.2014.12.011

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Summary:The response of a vibrating beam to a force depends on many physical parameters including those determined by material properties. Damage caused by fatigue or cracks results in local reductions in stiffness parameters and may drastically alter the response of the beam. Data obtained from the vibrating beam are often subject to uncertainties and/or errors typically modeled using probability densities. The goal of this paper is to estimate and quantify the uncertainty in damage modeled as a local reduction in stiffness using uncertain data. We present various frameworks and methods for solving this parameter determination problem. We also describe a mathematical analysis to determine and compute useful output data for each method. We apply the various methods in a specified sequence that allows us to interface the various inputs and outputs of these methods in order to enhance the inferences drawn from the numerical results obtained from each method. Numerical results are presented using both simulated and experimentally obtained data from physically damaged beams.
ISSN:0021-9991
1090-2716
DOI:10.1016/J.JCP.2014.12.011