Stochastic response of a fractional vibroimpact system

Daniil Yurchenko, Andrea Burlon, Mario Di Paola, Giuseppe Failla, Antonina Pirrotta

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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.
Original languageEnglish
Pages (from-to)1086-1091
Number of pages6
JournalProcedia Engineering
Volume199
DOIs
Publication statusPublished - 12 Sep 2017

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