Vibration of annular mindlin plates with small cores

Tias, Cahyaning, Wang, C. M. and Wang, C. Y. (2007) Vibration of annular mindlin plates with small cores. Journal of Engineering Mechanics, 133 5: 597-600. doi:10.1061/(ASCE)0733-9399(2007)133:5(597)


Author Tias, Cahyaning
Wang, C. M.
Wang, C. Y.
Title Vibration of annular mindlin plates with small cores
Journal name Journal of Engineering Mechanics   Check publisher's open access policy
ISSN 0733-9399
1943-7889
Publication date 2007-05-01
Sub-type Article (original research)
DOI 10.1061/(ASCE)0733-9399(2007)133:5(597)
Open Access Status Not yet assessed
Volume 133
Issue 5
Start page 597
End page 600
Total pages 4
Place of publication Reston, VA, United States
Publisher American Society of Civil Engineers
Language eng
Abstract In most publications on vibration of annular plates, the natural frequencies are only presented for inner radius as small as one-tenth of its outer radius, but there are hardly any results presented for cores smaller than this inner radius value. This is attributed to severe scaling problems upon using numerical techniques to obtain the fundamental frequency of plates when the inner radius becomes very small. This study aims to solve this class of plate vibration problem where the annular plates are thick and their core radii are much less than one-tenth of the outer radius. The analysis involved using the Mindlin plate theory so as to allow for the effects of transverse shear deformation and rotary inertia and the truncation of the terms in the Bessel functions defining the characteristic equations in order to overcome the scaling problem. Eventually, the fundamental frequency of a thick annular plate could be deduced as finite or zero when the inner radius approaches zero.
Keyword Frequency
Plates
Vibration
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Civil Engineering Publications
 
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Created: Mon, 16 Jan 2017, 21:37:12 EST by Clare Nelson on behalf of Learning and Research Services (UQ Library)