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research-article

Approximate analytical mean-square response of an impacting stochastic system oscillator with fractional damping

[+] Author and Article Information
Daniil Yurchenko

Department of Mechanical Engineering Heriot-Watt University Edinburgh, UK
d.yurchenko@hw.ac.uk

Andrea Burlon

Dipartimento di Ingegneria Civile, dell’ Ambiente, dell’ Energia e dei Materiali (DICEAM) Università di Reggio Calabria Reggio Calabria, Italy
a.burlon91@gmail.com

Mario Di Paola

Dipartimento di Ingegneria Civile, Ambientale, Aerospaziale e dei Materiali (DICAM) Università degli Studi di Palermo Palermo, Italy
mario.dipaola@unipa.it

Giuseppe Failla

Dipartimento di Ingegneria Civile, dell’ Ambiente, dell’ Energia e dei Materiali (DICEAM) Università di Reggio Calabria Reggio Calabria, Italy
giuseppe.failla@unirc.it

Antonina Pirrotta

Dipartimento di Ingegneria Civile, Ambientale, Aerospaziale e dei Materiali (DICAM) Università degli Studi di Palermo Palermo, ItalyDepartment of Mathematical Sciences University of Liverpool Liverpool, UK
antonina.pirrotta@unipa.it

1Corresponding author.

ASME doi:10.1115/1.4036701 History: Received June 22, 2016; Revised October 09, 2016

Abstract

The paper deals with the stochastic dynamics of a vibroimpact single degree-of-freedom system under a Gaussian white noise. The system is assumed to have a hard type impact against a one-sided motionless barrier, located at the system's equilibrium. The system is endowed with a fractional derivative element. An analytical expression for the system's mean squared response amplitude is presented and compared with results of numerical simulations.

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