Stochastic response of a fractional vibroimpact system. (2017)

• Record Type: Journal Article
• Authors: Yurchenko, Daniil; Burlon, Andrea; Di Paola, Mario; Failla, Giuseppe; Pirrotta, Antonina
• Is Part Of: Procedia engineering. Volume 199(2017)
• Page Start: 1086
• Page End: 1091
• Publication Date: 2017
• Subjects: vibroimpact systems -- fractional derivative -- stochastic averaging method; Engineering -- Congresses; Engineering -- Periodicals; Engineering; Conference proceedings; Periodicals; 620.005
• DOI: 10.1016/j.proeng.2017.09.081
• Languages: English
• ISSNs: 1877-7058

Abstract

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.