Approximate Analytical Mean-Square Response of an Impacting Stochastic System Oscillator With Fractional Damping-Reference-Cited by-同舟云学术

Approximate Analytical Mean-Square Response of an Impacting Stochastic System Oscillator With Fractional Damping

Published:2017-06-12 Issue:3 Volume:3 Page:
ISSN:2332-9017
Container-title:ASCE-ASME J Risk and Uncert in Engrg Sys Part B Mech Engrg
language:en
Short-container-title:

Author:

Yurchenko D.¹,Burlon A.²,Di Paola M.³,Failla G.²,Pirrotta A.⁴⁵

Affiliation:

1. Institute of Mechanical, Process and Energy Engineering, Heriot-Watt University, Edinburgh EH14 4AS, UK e-mail:

2. Dipartimento di Ingegneria Civile, dell’ Ambiente, dell’ Energia e dei Materiali (DICEAM), Università di Reggio Calabria, Reggio Calabria 89124, Italy e-mail:

3. Dipartimento di Ingegneria Civile, Ambientale, Aerospaziale e dei Materiali (DICAM), Università degli Studi di Palermo, Palermo 90128, Italy e-mail:

4. Dipartimento di Ingegneria Civile, Ambientale, Aerospaziale e dei Materiali (DICAM), Università degli Studi di Palermo, Palermo 90128, Italy;

5. Department of Mathematical Sciences, University of Liverpool, Liverpool L69 7ZL, UK e-mail:

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 the results of numerical simulations.

Publisher

ASME International

Subject

Mechanical Engineering,Safety Research,Safety, Risk, Reliability and Quality

Link

http://asmedigitalcollection.asme.org/risk/article-pdf/doi/10.1115/1.4036701/6071831/risk_003_03_030903.pdf

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