6533b82cfe1ef96bd128fd3d
RESEARCH PRODUCT
Stochastic analysis of a non-local fractional viscoelastic beam forced by Gaussian white noise
Alotta G.Di Paola M.Failla G.Pinnola F.subject
Non-local beam fractional viscoelasticity white noise stochastic analysisdescription
Recently, a displacement-based non-local beam model has been developed and the relative finite element (FE) formulation with closed-form expressions of the elastic and fractional viscoelastic matrices has also been obtained. The static and quasi-static response has been already investigated. This work investigates the stochastic response of the non-local fractional viscoelastic beam, forced by a Gaussian white noise. In this context, by taking into account the mass of the beam, the system of coupled fractional differential equations ruling the beam motion can be decoupled with the method of the fractional order state variable expansion and statistics of the motion of the beam can be readily found.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-01 |