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RESEARCH PRODUCT
Stochastic response of a fractional vibroimpact system
Giuseppe FaillaAndrea BurlonAntonina PirrottaAntonina PirrottaDaniil YurchenkoMario Di Paolasubject
Mechanical equilibriumvibroimpact systemfractional derivative02 engineering and technologyGeneral MedicineWhite noiseType (model theory)021001 nanoscience & nanotechnologystochastic averaging methodExpression (mathematics)law.inventionFractional calculus020303 mechanical engineering & transportsStochastic dynamicsEngineering (all)0203 mechanical engineeringControl theorylawResponse AmplitudeApplied mathematics0210 nano-technologySettore ICAR/08 - Scienza Delle CostruzioniMathematicsdescription
Abstract The paper proposes a method to investigate the stochastic dynamics of a vibroimpact single-degree-of-freedom fractional system under a Gaussian white noise input. It is assumed that the system has a hard type impact against a one-sided motionless barrier, which is located at the system’s equilibrium position; furthermore, the system under study is endowed with an element modeled with fractional derivative. The proposed method is based on stochastic averaging technique and overcome the particular difficulty due to the presence of fractional derivative of an absolute value function; particularly an analytical expression for the system’s mean squared response amplitude is presented and compared with results obtained by numerical simulations.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-01 |