G.I. Schuëller Institute of Engineering Mechanics Leopold-Franzens University

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Workshop on Application of Fuzzy Sets & Fuzzy Logic to Engineering Problems Introductory Remarks. G.I. Schuller Institute of Engineering Mechanics Leopold-Franzens University Innsbruck , Austria, EU. Pertisau, Tyrol, Austria, EU Sept. 29 Oct. 1, 2002. Mechanical Model. Physical. - PowerPoint PPT Presentation

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  • G.I. Schuller

    Institute of Engineering MechanicsLeopold-Franzens UniversityInnsbruck, Austria, EUWorkshop onApplication of Fuzzy Sets & Fuzzy Logic to Engineering Problems

    Introductory RemarksPertisau, Tyrol, Austria, EUSept. 29 Oct. 1, 2002

  • Spectrum of Uncertainties

  • Spectrum of Uncertainties - ExamplesWind (turbulence)Materials (strength)EarthquakeBuckling loadsCrack growth

  • Evolution of Structural MechanicsDeterministic approach

    Stochastic approachAdding additional informationReplace single point by distribution

  • Advantages of Stochastic Analysis of UncertaintiesQuantification of Reliability possible

    More realistic response evaluationAdequate for environmental loading But:Increase in information requires increase of computational effortsComputational Efficiency is a key issueResistanceStress

  • Quantification of Randomness Random Variable Random Processes Random Field

    Autocorrelation Function:

  • Random FieldsGaussian distributed

    Spectral representation

    Karhunen-Love expansion

  • Damage Effects by Crack PropagationStructural lifeCrack growth is in reality a stochastic processDeterministic modeling is just an approximation Crack growth models:Random variables

    In general as SDE:

    R.V.R.V.

  • Bignoli et al.Concepts to Assess UncertaintiesFuzzy Algorithm

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