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Exact closed-form fractional spectral moments for linear fractional oscillators excited by a white noise

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journal contribution
posted on 06.01.2017, 16:02 by Valeria Artale, Giacomo Navarra, Angela Ricciardello, Giorgio Barone
In the last decades the research community has shown an increasing interest in the engineering applications of fractional calculus, which allows to accurately characterize the static and dynamic behaviour of many complex mechanical systems, e.g. the non-local or non-viscous constitutive law. In particular, fractional calculus has gained considerable importance in the random vibration analysis of engineering structures provided with viscoelastic damping. In this case, the evaluation of the dynamic response in the frequency domain presents significant advantages, once a probabilistic characterization of the input is provided. On the other hand, closed-form expressions for the response statistics of dynamical fractional systems are not available even for the simplest cases. Taking advantage of the Residue Theorem, in this paper the exact expressions of the spectral moments of integer and complex orders (i.e. fractional spectral moments) of linear fractional oscillators driven by acceleration time histories obtained as samples of stationary Gaussian white noise processes are determined.

History

School

  • Architecture, Building and Civil Engineering

Published in

ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering

Volume

3

Issue

3

Citation

ARTALE, V. ... et al, 2017. Exact closed-form fractional spectral moments for linear fractional oscillators excited by a white noise. ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering, 3 (3), 030901.

Publisher

© ASME (American Society of Mechanical Engineers)

Version

AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Acceptance date

11/12/2016

Publication date

2017-06-12

Notes

This paper was accepted for publication in the journal ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering and the definitive published version is available at http://dx.doi.org/10.1115/1.4036700

ISSN

2332-9017

eISSN

2332-9025

Language

en

Article number

030901

Exports

Loughborough Publications

Keywords

Exports