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- W2020166921 abstract "The concept of statistical and equivalent linearization with criteria in probability density functions space for dynamic systems under Gaussian parametric and external excitations is considered. New criteria of linearization and three approximate approaches are proposed. In the first and second one, the direct minimization of a criterion is applied for the static non-linear element and non-linear dynamic system, respectively. In both cases the approximation of the probability density functions by the truncated Gram-Charlier expansion for non-linear elements and systems is used. In the third approach equivalent linearization is made for the Fokker-Planck equations corresponding to the original non-linear and linearized dynamic systems. Four examples are given to illustrate the results obtained." @default.
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- W2020166921 title "Probability density statistical and equivalent linearization techniques" @default.
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- W2020166921 doi "https://doi.org/10.1080/00207720110082046" @default.
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