Basis random variables in finite element analysis
- 1 October 1987
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 24 (10) , 1849-1863
- https://doi.org/10.1002/nme.1620241004
Abstract
Galerkin's method is applied to random operator equations. Appropriate Hilbert spaces are defined for random functions and solutions are projected into these spaces, allowing the first‐ and second‐moment properties of the solution to be calculated. An equivalent energy‐based approach similar to the Rayleigh–Ritz method is developed, from which a stochastic finite element technique is derived. Several one‐ and two‐dimensional example problems are solved and the results discussed.Keywords
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