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Title: 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 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.
Authors:
 [1] ;  [2] ;  [2]
  1. Department of Mathematical and Statistical Sciences, University of Colorado Denver, Denver, CO (United States)
  2. Aalto University School of Science, Department of Mathematics and Systems Analysis, Espoo (Finland)
Publication Date:
OSTI Identifier:
22382191
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational Physics; Journal Volume: 283; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPUTERIZED SIMULATION; CRACKS; DAMAGE; ERRORS; FATIGUE; FILTERS; FLEXIBILITY; INTERFACES; MEASURE THEORY; PROBABILITY