The use and limitations of continuum modes for response calculations of cellular structures

Article


Banerjee, Sourish and Bhaskar, Atul. 2007. "The use and limitations of continuum modes for response calculations of cellular structures." Journal of Sound and Vibration. 302 (3), pp. 457-470. https://doi.org/10.1016/j.jsv.2006.09.032
Article Title

The use and limitations of continuum modes for response calculations of cellular structures

ERA Journal ID1295
Article CategoryArticle
AuthorsBanerjee, Sourish and Bhaskar, Atul
Journal TitleJournal of Sound and Vibration
Journal Citation302 (3), pp. 457-470
Number of Pages14
Year2007
PublisherElsevier
Place of PublicationUnited Kingdom
ISSN0022-460X
1095-8568
Digital Object Identifier (DOI)https://doi.org/10.1016/j.jsv.2006.09.032
Web Address (URL)https://www.sciencedirect.com/science/article/pii/S0022460X0600887X
Abstract

In this paper, a method for the approximate calculations of response of cellular structures is presented. The method is based on the idea that for low-frequency modes, the cellular structures behave in a way similar as a continuum does. The range of validity of the method on the mode number scale is also examined. It is shown that the response is estimated very accurately from a reduced order model based on continuum modes for low-frequency vibration. The accuracy starts to deteriorate with the increase in the mode number. Beyond certain mode number, the improvement in accuracy due to the inclusion of additional continuum modes in the approximation shows a point of diminishing returns. Illustrative examples are given. © 2006 Elsevier Ltd. All rights reserved.

Keywordscellular structures; Vibration; continuum ; dynamic response
Contains Sensitive ContentDoes not contain sensitive content
ANZSRC Field of Research 2020401702. Dynamics, vibration and vibration control
401602. Composite and hybrid materials
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FunderEngineering and Physical Sciences Research Council. UK
Byline AffiliationsUniversity of Auckland, New Zealand
University of Southampton, United Kingdom
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