Free vibration of cellular structures using continuum modes

Article


Banerjee Sourish and Bhaskar, Atul. 2005. "Free vibration of cellular structures using continuum modes." Journal of Sound and Vibration. 287 (1-2), pp. 77-100. https://doi.org/10.1016/j.jsv.2004.10.051
Article Title

Free vibration of cellular structures using continuum modes

ERA Journal ID1295
Article CategoryArticle
AuthorsBanerjee Sourish and Bhaskar, Atul
Journal TitleJournal of Sound and Vibration
Journal Citation287 (1-2), pp. 77-100
Number of Pages24
Year2005
PublisherElsevier
Place of PublicationUnited Kingdom
ISSN0022-460X
1095-8568
Digital Object Identifier (DOI)https://doi.org/10.1016/j.jsv.2004.10.051
Web Address (URL)https://www.sciencedirect.com/science/article/pii/S0022460X04009113
Abstract

This paper is concerned with free vibration of elastic structures made up of cellular material. A network of cells in a plane is considered. Cell walls are modelled as beams. The problem of calculating the first few natural frequencies and the corresponding mode shapes is addressed. An approximate method based on the assumption that cellular solids behave as a continuum for low-frequency dynamics is presented. A direct application of the assumed modes method incorporating continuum modes as basis leads to difficulties. The source of this difficulty is identified. A method that uses inverse power iterations is proposed to pre-condition the assumed modes appropriately. The proposed method of using continuum modes as basis for model order reduction leads to substantial computational saving while maintaining good accuracy. Two examples are given to illustrate the proposed procedure of using the continuum modes in conjunction with pre-conditioning. © 2004 Elsevier Ltd. All rights reserved.

Contains Sensitive ContentDoes not contain sensitive content
ANZSRC Field of Research 2020401702. Dynamics, vibration and vibration control
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FunderEngineering and Physical Sciences Research Council
Byline AffiliationsUniversity of Southampton, United Kingdom
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