Orthogonal Expansion for Beam Variability

by R. Ghanem, Rice Univ, United States,
P. Spanos, Rice Univ, United States,
E. Akin, Rice Univ, United States,

Document Type: Proceeding Paper

Part of: Probabilistic Methods in Civil Engineering


A new method for the solution of problems involving random media is proposed. The medium property is represented by a stochastic process. The method makes use of an orthogonal expansion of the process with a finite set of random variables and leads to a formulation compatible with the finite element method. The usefulness of the method, in terms of accuracy and efficiency, is exemplified by considering a cantilever beam with random rigidity.

Subject Headings: Beams | Stochastic processes | Finite element method | Probability | Rigidity | Structural reliability | Cantilevers | Girders

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