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

K V Vishal Krishnan and Ranjan Ganguli

Applied Mathematics and Computation, 2021, vol. 398, issue C

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.

Keywords: Multi-fidelity; Kriging; Co-Kriging; Latin hypercube sampling; Beams; Uncertainty quantification (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:398:y:2021:i:c:s0096300321000357

DOI: 10.1016/j.amc.2021.125987

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