Email this article and Applied Mechanics
57, 1, pp. 37-48, Warsaw 2019
DOI: 10.15632/jtam-pl.57.1.37
Time integration of stochastic generalized equations of motion using SSFEM
(SPDE’s) with parameters to be random fields. The methodology is based upon
assumption that random fields are from a special class of functions, and can be described
as a product of two functions with dependent and independent random variables. Such an
approach allows one to use Karhunen-Lo`eve expansion directly, and the modified stochastic
spectral finite element method (SSFEM). It is assumed that a random field is stationary
and Gaussian while the autocovariance function is known. A numerical example of onedimensional
heat waves analysis is shown.
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