Low-Rank Approximation of Frequency Response Analysis of Perforated Cylinders under Uncertainty

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Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2022-04-01
Major/Subject
Mcode
Degree programme
Language
en
Pages
17
1-17
Series
Applied Sciences (Switzerland), Volume 12, issue 7
Abstract
Frequency response analysis under uncertainty is computationally expensive. Low-rank approximation techniques can significantly reduce the solution times. Thin perforated cylinders, as with all shells, have specific features affecting the approximation error. There exists a rich thicknessdependent boundary layer structure, leading to local features becoming dominant as the thickness tends to zero. Related to boundary layers, there is also a connection between eigenmodes and the perforation patterns. The Krylov subspace approach for proportionally damped systems with uncertain Young’s modulus is compared with the full system, and via numerical experiments, it is shown that the relative accuracy of the low-rank approximation of perforated shells measured in energy depends on the dimensionless thickness. In the context of frequency response analysis, it then becomes possible that, at some critical thicknesses, the most energetic response within the observed frequency range is not identified correctly. The reference structure used in the experiments is a trommel screen with a non-regular perforation pattern with two different perforation zones. The low-rank approximation scheme is shown to be feasible in computational asymptotic analysis of trommel designs when the proportional damping model is used.
Description
Publisher Copyright: © 2022 by the authors. Licensee MDPI, Basel, Switzerland.
Keywords
eigenproblem, frequency response, p-version, perforated shells, uncertainty quantification
Other note
Citation
Hakula , H & Laaksonen , M 2022 , ' Low-Rank Approximation of Frequency Response Analysis of Perforated Cylinders under Uncertainty ' , Applied Sciences (Switzerland) , vol. 12 , no. 7 , 3559 , pp. 1-17 . https://doi.org/10.3390/app12073559