On Effects of Perforated Domains on Parameter-Dependent Free Vibration

Giani, Stefano; Hakula, Harri

doi:10.1016/j.cam.2021.113526

On Effects of Perforated Domains on Parameter-Dependent Free Vibration

Giani, Stefano; Hakula, Harri

Authors

Dr Stefano Giani stefano.giani@durham.ac.uk
Associate Professor

Harri Hakula

Abstract

Free vibration characteristics of thin perforated shells of revolution vary depending not only on the dimensionless thickness of the shell but also on the perforation structure. All holes are assumed to be free, that is, without any kinematical constraints. For a given conguration there exists a critical value of the dimensionless thickness below which homogenisation fails, since the modes do not have corresponding counterparts in the non-perforated reference shell. For a regular g g-perforation pattern, the critical thickness is reached when the lowest mode has an angular wave number of g=2. This observation is supported both by geometric arguments and numerical experiments. The numerical experiments have been carried out have been computed in 2D with high-order nite element method supporting Pitkaranta's mathematical shell model.

Citation

Giani, S., & Hakula, H. (2021). On Effects of Perforated Domains on Parameter-Dependent Free Vibration. Journal of Computational and Applied Mathematics, 394, Article 113526. https://doi.org/10.1016/j.cam.2021.113526

Journal Article Type	Article
Acceptance Date	Feb 24, 2021
Online Publication Date	Mar 5, 2021
Publication Date	Oct 1, 2021
Deposit Date	Feb 26, 2021
Publicly Available Date	Aug 25, 2021
Journal	Journal of Computational and Applied Mathematics
Print ISSN	0377-0427
Publisher	Elsevier
Peer Reviewed	Peer Reviewed
Volume	394
Article Number	113526
DOI	https://doi.org/10.1016/j.cam.2021.113526

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Copyright Statement
©2021 TheAuthor(s). Published by Elsevier B.V. This is an open access article under the CCBY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)