6533b7d4fe1ef96bd126332d

RESEARCH PRODUCT

Stochastic linearization of MDOF systems under parametric excitations

Giovanni Falsone

subject

Applied MathematicsMechanical EngineeringGaussianClosure (topology)symbols.namesakeMechanics of MaterialsLinearizationSimple (abstract algebra)Control theorysymbolsApplied mathematicsRandom vibrationFeedback linearizationDifferential (mathematics)Parametric statisticsMathematics

description

Abstract The stochastic linearization approach is examined for non-linear systems subjected to parametric type 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. A critical review of other stochastic linearization approaches is also presented and discussed by means of simple examples.

http://hdl.handle.net/11570/1867720