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The World's Forum for Aerospace Leadership

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The American Institute of Aeronautics and Astronautics (AIAA)

is the world's largest technical society dedicated to the global aerospace profession.

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    • AIAA Foundation
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    Course Outline

    Introduction to Non-Deterministic Approaches

     

     

    Course Outline:


    I. Probability & Statistics Fundamentals
    A. Theory of Random Variables & Probability Distributions
    B. Statistical Estimation & Distribution Identification

     

     
    II. Classical Structural Reliability
    A. Limit State Formulation
    B. Probability Input Space Transformations
    C. Second Moment Methods
    D. Partial Safety Factor Method

     
    III. Simulation Theory
    A. Monte Carlo
    B. Variance Reduction

     
    IV. Fast Probability Methods
    A. FORM/SORM & Advanced Mean Value
    B. Advanced Importance and Latin Hypercube Sampling

     
    V. Surrogate Models
    A. Design of Experiments Fundamentals & Response Surface Methodology

     
    VI. Reliability-Based Design and Optimization

     
    VII. Time Dependent Reliability  

    A. Degradation Failure Modes (Fatigue, Creep, Corrosion, Crack Growth)

     
    VIII. Random Fields  

    A. Probabilistic Finite Element Analysis

     
    IX. System Reliability
    A. Fault Tree Analysis & Reliability Block Diagrams
    B. Markov Chains

     
    X. Hybrid Methods
    A. Genetic Algorithms & Simulated Annealing
    B. Petri Nets

     
    XI. Non-Probabilistic Methods
    A. Interval and Possibility Theory
    B. Fuzzy Sets & Neural Networks