The Effects of Crack Size on Crack Identification in a Freely Vibrating Plate Using Bayesian Parameter Estimation

Abstract

In this paper a new approach is taken to identify a crack in a simply supported plate undergoing free vibration. The approach uses a Markov-Chain Monte-Carlo implementation of Bayes' Rule to identify the presence of a crack and, more importantly, to estimate crack parameters; the process also provides condence intervals for those parameters. To generate the required time series, a semi-analytical free response is constructed out of a finite element based eigen-solution. This detection technique is applied to a cracked plate and effectively identifies the crack location, orientation and length. The results show the utility and accuracy of this method for a variety of cracks lengths, suggesting that even small cracks may be detected.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 2010
Accession Number
ADA544058

Entities

People

  • Edward Z. Moore
  • Jonathan M. Nichols
  • Kevin D. Murphy

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Sensors

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Bayesian Networks
  • Computational Science
  • Crack Tips
  • Detectors
  • Engineering
  • Identification
  • Markov Chains
  • Mechanical Engineering
  • Military Research
  • Modal Analysis
  • Monitoring
  • Monte Carlo Method
  • Orientation (Direction)
  • Probability
  • Structural Health Monitoring

Readers

  • Computational Modeling and Simulation
  • Structural Dynamics.
  • Structural Health Monitoring of Composite Structures.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference