Identification of elastic constants by Bayesian approach

  • Ivan Bartoli
  • Antonio di Leo
  • Erasmo Viola
Part of the International Centre for Mechanical Sciences book series (CISM, volume 471)


A combined numerical-experimental procedure for the identification of the elastic material modulus of generally thin orthotropic plates is discussed in this paper. This method makes use of experimental plate response data, corresponding numerical predictions and Bayesian sensitivity analysis. The response data are a set of natural frequencies of flexural vibration of the plate. The numerical model is based on the Rayleigh Ritz method and the finite element method using a classical plate theory displacement field. Statistical Bayesian estimation is applied in an iterative scheme to direct the adjustments of material properties based on the discrepancies between the analytical and experimental responses. The confidence associated with frequencies and mechanical properties is incorporated into the revision procedure. The effects of the confidence associated with experimental and numerical data and parameter estimates are numerically investigated. The validity and efficiency of the present procedure is illustrated through several test cases.


Elastic Constant Bayesian Approach Experimental Frequency Orthotropic Plate Sensitivity Matrix 
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Copyright information

© Springer-Verlag Wien 2003

Authors and Affiliations

  • Ivan Bartoli
    • 1
  • Antonio di Leo
    • 1
  • Erasmo Viola
    • 1
  1. 1.Faculty of Engineering, DISTART DepartmentUniversity of BolognaItaly

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