Vibration of mindlin plates on point supports using constraint functions

Liew, KM, Xiang, Y, Kitipornchai, S and Lim, MK (1994) Vibration of mindlin plates on point supports using constraint functions. Journal of Engineering Mechanics, 120 3: 499-513. doi:10.1061/(ASCE)0733-9399(1994)120:3(499)

Author Liew, KM
Xiang, Y
Kitipornchai, S
Lim, MK
Title Vibration of mindlin plates on point supports using constraint functions
Journal name Journal of Engineering Mechanics   Check publisher's open access policy
ISSN 0733-9399
Publication date 1994-01-01
Sub-type Article (original research)
DOI 10.1061/(ASCE)0733-9399(1994)120:3(499)
Open Access Status Not yet assessed
Volume 120
Issue 3
Start page 499
End page 513
Total pages 15
Language eng
Subject 2211 Mechanics of Materials
2210 Mechanical Engineering
Abstract This paper presents the first known solutions for free flexural vibration of Mindlin plates of arbitrary shape with internal point supports. A new approach for modeling the point supports in vibration analysis is proposed. The method is based on the use of a set of pb-2 shape functions to account for prescribed boundary conditions of different shapes. Internal point supports are imposed as geometric constraints in the final formulation of the governing eigenvalue equation. The proposed method is employed to determine the vibration frequencies of square and circular plates having an arbitrary number of internal point supports. Comparisons with known thin-plate solutions are carried out, where possible, to verify the accuracy of the proposed method.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import - Archived
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Citation counts: TR Web of Science Citation Count  Cited 22 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 22 times in Scopus Article | Citations
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Created: Wed, 06 Sep 2017, 16:15:38 EST by Jeannette Watson