Multi-fidelity analysis and uncertainty quantification of beam vibration using co-kriging interpolation method

Krishnan, KVV and Ganguli, R (2021) Multi-fidelity analysis and uncertainty quantification of beam vibration using co-kriging interpolation method. In: Applied Mathematics and Computation, 398 .

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Abstract

In this paper, a multi-fidelity surrogate model is created using co-kriging methodology to determine the natural frequencies of beams by combining the fidelities of Euler-Bernoulli (low-fidelity) and Timoshenko (high-fidelity) beam finite element models. This study of free vibration of beams involves uncertainties in material properties. The sampling space for the co-kriging surrogate model is created using an optimal latin hypercube sampling technique. It is shown that the co-kriging surrogate model predicts the natural frequencies with high computational efficiency and accuracy, in the entire design space. The computational efficiency and utility of the multi-fidelity model is demonstrated through its application to a problem of quantifying uncertainties in the natural frequencies of a tapered beam using Monte Carlo Simulation. © 2021 Elsevier Inc.

Item Type:	Journal Article
Publication:	Applied Mathematics and Computation
Publisher:	Elsevier Inc.
Additional Information:	Copyright to this article belongs to Elsevier Inc.
Keywords:	Efficiency; Interpolation; Monte Carlo methods; Natural frequencies; Uncertainty analysis; Vibration analysis, Beam finite elements; Euler-Bernoulli; ITS applications; Latin hypercube sampling; Multi fidelities; Multi-fidelity analysis; Multi-fidelity modeling; Uncertainty quantifications, Computational efficiency
Department/Centre:	Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited:	09 Feb 2021 10:04
Last Modified:	09 Feb 2021 10:04
URI:	http://eprints.iisc.ac.in/id/eprint/67853

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