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Low order model for the dynamics of bi-stable composite plates

Arrieta, A. F. and Spelsberg-Korspeter, G. and Hagedorn, P. and Neild, S. A. and Wagg, D. J. (2011):
Low order model for the dynamics of bi-stable composite plates.
In: Journal of Intelligent Material Systems and Structures, SAGE Publications, pp. 2025-2043, 22, (17), [Online-Edition: http://jim.sagepub.com/content/22/17/2025],
[Article]

Item Type: Article
Erschienen: 2011
Creators: Arrieta, A. F. and Spelsberg-Korspeter, G. and Hagedorn, P. and Neild, S. A. and Wagg, D. J.
Title: Low order model for the dynamics of bi-stable composite plates
Language: English
Journal or Publication Title: Journal of Intelligent Material Systems and Structures
Volume: 22
Number: 17
Publisher: SAGE Publications
Divisions: 16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Dynamics and Vibrations
Date Deposited: 19 Sep 2012 13:54
Official URL: http://jim.sagepub.com/content/22/17/2025
Identification Number: doi:10.1177/1045389X11422104
Alternative keywords:
Alternative keywordsLanguage
bi-stable composites, morphing structures, low order modelling, deflection shapesEnglish
Alternative Abstract:
Alternative abstract Language
This article presents the derivation and validation of a low order model for the non-linear dynamics of cross-ply bi-stable composite plates focusing on the response of one stable state. The Rayleigh–Ritz method is used to solve the associated linear problem to obtain valuable theoretical insight into how to formulate an approximate non-linear dynamic model. This allows us to follow a Galerkin approach projecting the solution of the non-linear problem onto the mode shapes of the linear problem. The order of the non-linear model is reduced using theoretical results from the linear solution yielding a low order model. The dynamic response of a bi-stable plate specimen is studied to simplify the model further by only keeping the non-linear terms leading to observed oscillations. Simulations for the dynamic response using the derived model are presented showing excellent agreement with the experimentally observed behaviour. Additionally, deflection shapes are measured and compared with the calculated mode shapes, showing good agreement.English
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