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Title: Exact closed-form fractional spectral moments for linear fractional oscillators excited by a white noise
Authors: Artale, Valeria
Navarra, Giacomo
Ricciardello, Angela
Barone, Giorgio
Issue Date: 2017
Publisher: © ASME (American Society of Mechanical Engineers)
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.
Abstract: 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.
Description: This paper is closed access until 12th June 2018.
Version: Accepted for publication
DOI: 10.1115/1.4036700
URI: https://dspace.lboro.ac.uk/2134/23631
Publisher Link: http://dx.doi.org/10.1115/1.4036700
ISSN: 2332-9017
Appears in Collections:Closed Access (Architecture, Building and Civil Engineering)

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