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 ID | 1295 |
| Article Category | Article |
| Authors | Banerjee, Sourish and Bhaskar, Atul |
| Journal Title | Journal of Sound and Vibration |
| Journal Citation | 302 (3), pp. 457-470 |
| Number of Pages | 14 |
| Year | 2007 |
| Publisher | Elsevier |
| Place of Publication | United Kingdom |
| ISSN | 0022-460X |
| 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. |
| Keywords | cellular structures; Vibration; continuum ; dynamic response |
| Contains Sensitive Content | Does not contain sensitive content |
| ANZSRC Field of Research 2020 | 401702. Dynamics, vibration and vibration control |
| 401602. Composite and hybrid materials | |
| Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
| Funder | Engineering and Physical Sciences Research Council. UK |
| Byline Affiliations | University of Auckland, New Zealand |
| University of Southampton, United Kingdom |
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