6533b855fe1ef96bd12b0aae
RESEARCH PRODUCT
Stochastic linearization for the response of MDOF systems subjected to external and parametric Gaussian excitations
G. Falsonesubject
symbols.namesakeSimple (abstract algebra)Control theoryLinearizationGaussiansymbolsClosure (topology)Applied mathematicsRandom vibrationDifferential (infinitesimal)Parametric statisticsMathematicsdescription
The stochastic linearization approach is examined for the most general case of non zero-mean response of non-linear MDOF systems subjected to parametric and external Gaussian white excitations. It is shown that, for these systems too, stochastic linearization and Gaussian closure are two equivalent approaches if the former is applied to the coefficients of the Ito differential rule. Moreover, an extension of the Atalik-Utku approach to non zero-mean response systems allows to obtain simple formulations for the linearized drift coefficients. Some applications show the good accuracy of the method.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1991-01-01 |