Vibration of thick skew plates based on Mindlin shear deformation plate theory

Liew, K. M., Xiang, Y., Kitipornchai, S. and Wang, C. M. (1993) Vibration of thick skew plates based on Mindlin shear deformation plate theory. Journal of Sound and Vibration, 168 1: 39-69. doi:10.1006/jsvi.1993.1361

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Author Liew, K. M.
Xiang, Y.
Kitipornchai, S.
Wang, C. M.
Title Vibration of thick skew plates based on Mindlin shear deformation plate theory
Journal name Journal of Sound and Vibration   Check publisher's open access policy
ISSN 0022-460X
Publication date 1993-01-01
Year available 1993
Sub-type Article (original research)
DOI 10.1006/jsvi.1993.1361
Open Access Status Not Open Access
Volume 168
Issue 1
Start page 39
End page 69
Total pages 31
Place of publication London, United Kingdom
Publisher Elsevier
Language eng
Subject 3104 Condensed Matter Physics
3102 Acoustics and Ultrasonics
2211 Mechanics of Materials
2210 Mechanical Engineering
Abstract The free flexural vibration of thick skew plates is considered. The total energy functional is derived based on the first order shear deformation plate theory by Mindlin. The newly developed pb-2 Rayleigh-Ritz method is applied to obtain the solution. The method features the versatile pb-2 Ritz functions for approximating the deflection and rotation functions which comprise the product of (1) a two-dimensional polynomial function (p-2) and (2) a basic function (b). The basic function is the key to ensure the automatic satisfaction of the geometric boundary conditions at the outset, since it is formed from the product of the boundary equations raised to appropriate powers. Natural frequency parameters for skew Mindlin plates with different combinations of boundary conditions are presented. The solutions, where possible, are verified by comparisons with those available in the open literature. The effect of the Poisson ratio on vibration frequencies of plates with free edges is also investigated.
Keyword Acoustics
Engineering, Mechanical
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 Mechanical & Mining Engineering Publications
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Citation counts: TR Web of Science Citation Count  Cited 75 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 95 times in Scopus Article | Citations
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Created: Wed, 11 Jan 2017, 19:36:42 EST by Clare Nelson on behalf of School of Mechanical and Mining Engineering