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RESEARCH PRODUCT
Non-stationary pre-envelope covariances of non-classically damped systems
Giuseppe Muscolinosubject
Spectral moments; pre-envelope covariances; Non-classically damped structuresSpectral momentsAcoustics and UltrasonicsMechanical EngineeringGaussianMathematical analysisProcess (computing)Condensed Matter PhysicsMatrix (mathematics)symbols.namesakeMechanics of MaterialsControl theorysymbolsEnvelope (mathematics)Infinite impulse responseImpulse responseMathematicsdescription
Abstract A new formulation is given to evaluate the stationary and non-stationary response of linear non-classically damped systems subjected to multi-correlated non-separable Gaussian input processes. This formulation is based on a new and more suitable definition of the impulse response function matrix for such systems. It is shown that, when using this definition, the stochastic response of non-classically damped systems involves the evaluation of quantities similar to those of classically damped ones. Furthermore, considerations about non-stationary cross-covariances, spectral moments and pre-envelope cross-covariances are presented for a monocorrelated input process.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1991-08-01 | Journal of Sound and Vibration |