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On Effects of Perforated Domains on Parameter-Dependent Free Vibration

Giani, Stefano and Hakula, Harri (2021) 'On Effects of Perforated Domains on Parameter-Dependent Free Vibration.', Journal of computational and applied mathematics., 394 . p. 113526.

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.

Item Type:Article
Full text:Publisher-imposed embargo
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Available under License - Creative Commons Attribution Non-commercial No Derivatives 4.0.
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1016/j.cam.2021.113526
Publisher 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/)
Date accepted:24 February 2021
Date deposited:26 February 2021
Date of first online publication:05 March 2021
Date first made open access:25 August 2021

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