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Propagation of Uncertainty in Complex Structural Systems using Stochastic Approach

Probability theory & Statistics. FEM. x 2. L. Stochastic Finite Element Methods. x 1. Complete Information of systems. L. Probability of Failure Confidence Interval Variance Mean. PDF of Response.

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Propagation of Uncertainty in Complex Structural Systems using Stochastic Approach

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  1. Probability theory & Statistics FEM x2 L Stochastic Finite Element Methods x1 Complete Information of systems L • Probability of Failure • Confidence Interval • Variance • Mean PDF of Response Propagation of Uncertainty in Complex Structural Systems using Stochastic Approach Seung-Kyum Choi, Ramana V. Grandhi and Robert A. Canfield • Goals : • Develop efficient tools for uncertainty representation of complex simulations • Enhance simulation costs by function approximations and efficient sampling schemes • Complete information of uncertain systems • Distribution free approach Stochastic Finite Element Analysis Covariance Kernel Random Field Discretization Eigenfunction E(L) • Karhunen-Loeve Expansion • Polynomial Chaos Expansion Realization of Stochastic Process Karhunen-Loève Expansion Series Expansions E(L) E(L) L Stochasticity in Joined Wing …… Mean Fluctuation Stochastic Expansions Five group locations of corresponding elements of the random variables Joined Wing SensorCraft Concept Spectral Stochastic Finite Element Analysis Intrusive Formulation NASTRAN FEM Model 1562 grid pts 3013 elements E1 E3 Stochastic Response Surface Method / Probabilistic Collocation Method Non-intrusive Formulation E5 E2 E4 Non-intrusive Formulation Enhancements in Current Approach • Latin Hypercube Sampling • Analysis of Variance • Residual Analysis Surrogate Model (Polynomial Chaos Expansion) Complete Information of Systems Black Box ( FEM Packages ) Stochastic Analysis Estimate Coeff.

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