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Title: Free vibration of Mindlin plates based on the relative displacement plate element
Authors: Ma, Y.Q.
Ang, K.K. 
Keywords: Free vibration
Mindlin plate
Natural frequency
Plate element
Relative displacement concept
Issue Date: Jul-2006
Source: Ma, Y.Q., Ang, K.K. (2006-07). Free vibration of Mindlin plates based on the relative displacement plate element. Finite Elements in Analysis and Design 42 (11) : 1021-1028. ScholarBank@NUS Repository.
Abstract: In this paper, free vibration of Mindlin plates using the relative displacement element has been studied. Firstly, the governing equations of motion of Mindlin plates are reformulated using relative displacement concept rather than the rotational degrees of freedom, which has a good property of representation of the rotary inertia effect. Secondly, based on these formulations, the corresponding stiffness matrix and mass matrix are derived using isoparametric concept and assumed strain method, respectively. Finally, the natural frequencies of a circular plate are computed and in comparison with the theoretical solution, it is quite accurate in the numerical sense. © 2006 Elsevier B.V. All rights reserved.
Source Title: Finite Elements in Analysis and Design
ISSN: 0168874X
DOI: 10.1016/j.finel.2006.03.001
Appears in Collections:Staff Publications

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