6533b851fe1ef96bd12aa2f0
RESEARCH PRODUCT
Analytic evaluation of spectral moments
Giuseppe MuscolinoM. Di Paolasubject
Spectral momentsAcoustics and UltrasonicsSpectral moments; Stochastic responseStochastic processMechanical EngineeringStochastic responseOrder (ring theory)GeometryCondensed Matter PhysicsThird orderMechanics of MaterialsMoment (physics)Applied mathematicsSpectral momentsLinear combinationMathematicsdescription
In this paper an analytic procedure that drastically reduces the computational effort in evaluating the spectral moments of the response of multi-degree-of-freedom systems is presented. It is shown that the cross-spectral moments of any order of two oscillators subjected to a filtered stochastic process can be obtained in a recursive manner as a linear combination of the spectral moment of each oscillator up to the third order separately taken. A numerical procedure is also presented in order to evaluate such first few spectral moments.
year | journal | country | edition | language |
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1988-08-01 |