Fidelity maps for model update under uncertainty

Application to a piano soundboard

Sylvain Lacaze, Samy Missoum

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

This paper presents a new approach for model updating based on fidelity maps. Fidelity maps are used to explicitly define regions of the random variable space within which the discrepancy between computational and experimental data is below a threshold value. It is shown that fidelity maps, built as a function of epistemic and aleatory uncertainties, can be used to calculate the likelihood for maximum likelihood estimates or Bayesian update. The fidelity map approach has the advantage of handling numerous correlated responses at a moderate computational cost. This is made possible by the use of an adaptive sampling scheme to build accurate boundaries of the fidelity maps. Although the proposed technique is general, it is specialized to the case of model update for modal properties (natural frequencies and mode shapes). A simple plate and a piano soundboard finite element model with uncertainties on the boundary conditions are used to demonstrate the methodology.

Original languageEnglish (US)
Title of host publication53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012
StatePublished - 2012
Event53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012 - Honolulu, HI, United States
Duration: Apr 23 2012Apr 26 2012

Other

Other53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012
CountryUnited States
CityHonolulu, HI
Period4/23/124/26/12

Fingerprint

maximum likelihood estimates
random variables
modal response
Random variables
Maximum likelihood
resonant frequencies
Natural frequencies
sampling
Uncertainty
Boundary conditions
methodology
boundary conditions
Sampling
costs
thresholds
Costs

ASJC Scopus subject areas

  • Aerospace Engineering
  • Mechanical Engineering
  • Materials Science(all)
  • Surfaces and Interfaces

Cite this

Lacaze, S., & Missoum, S. (2012). Fidelity maps for model update under uncertainty: Application to a piano soundboard. In 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012

Fidelity maps for model update under uncertainty : Application to a piano soundboard. / Lacaze, Sylvain; Missoum, Samy.

53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012. 2012.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Lacaze, S & Missoum, S 2012, Fidelity maps for model update under uncertainty: Application to a piano soundboard. in 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012. 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012, Honolulu, HI, United States, 4/23/12.
Lacaze S, Missoum S. Fidelity maps for model update under uncertainty: Application to a piano soundboard. In 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012. 2012
Lacaze, Sylvain ; Missoum, Samy. / Fidelity maps for model update under uncertainty : Application to a piano soundboard. 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012. 2012.
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