The stochastic second‐order perturbation technique in the finite difference method
Copyright policy )The stochastic second‐order perturbation technique in the finite difference method
AbstractThe main idea of the paper is to introduce the second‐order perturbation second probabilistic moment extension of the finite difference method (FDM). The approach can be successfully applied to all these engineering analyses where FDM modelling is still useful and some structural parameters are treated as random variables or fields. The main advantage of the stochastic finite difference method (SFDM) proposed is relatively easy extension of the existing deterministic results in the classical theory of elasticity on the random or even stochastic problems. A very attractive aspect can be the usage of the SFDM in the stochastic signals processing in a conjunction with the wavelet optimized FDM. Copyright © 2001 John Wiley & Sons, Ltd.
- Rice University United States
Finite difference methods applied to problems in solid mechanics, random twisted prismatic beam, biharmonic equation, Rods (beams, columns, shafts, arches, rings, etc.), Composite and mixture properties
Finite difference methods applied to problems in solid mechanics, random twisted prismatic beam, biharmonic equation, Rods (beams, columns, shafts, arches, rings, etc.), Composite and mixture properties
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