The use and limitations of continuum modes for response calculations of cellular structures
The use and limitations of continuum modes for response calculations of cellular structures
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 approxijmation shows a point of diminishing returns. illustrative examples are given.
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Banerjee, S.
697c77ef-53c1-4370-8c21-cb7065815627
Bhaskar, A.
d4122e7c-5bf3-415f-9846-5b0fed645f3e
Banerjee, S.
697c77ef-53c1-4370-8c21-cb7065815627
Bhaskar, A.
d4122e7c-5bf3-415f-9846-5b0fed645f3e
Banerjee, S. and Bhaskar, A.
(2007)
The use and limitations of continuum modes for response calculations of cellular structures.
Journal of Sound and Vibration, .
(doi:10.1016/j.jsv.2006.09.032).
(In Press)
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 approxijmation shows a point of diminishing returns. illustrative examples are given.
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bane_07.pdf
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Accepted/In Press date: 6 February 2007
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Local EPrints ID: 43963
URI: http://eprints.soton.ac.uk/id/eprint/43963
ISSN: 0022-460X
PURE UUID: e90737c0-16f0-4627-a561-5eaddcab5c4e
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Date deposited: 06 Feb 2007
Last modified: 15 Mar 2024 08:59
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Author:
S. Banerjee
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