Benchmark vibration solutions for regular polygonal Mindlin plates

Liew, KM, Xiang, Y and Kitipornchai, S (1995) Benchmark vibration solutions for regular polygonal Mindlin plates. Journal of the Acoustical Society of America, 97 5: 2866-2871. doi:10.1121/1.411852

Author Liew, KM
Xiang, Y
Kitipornchai, S
Title Benchmark vibration solutions for regular polygonal Mindlin plates
Journal name Journal of the Acoustical Society of America
ISSN NA 00014966
Publication date 1995-01-01
Sub-type Article (original research)
DOI 10.1121/1.411852
Open Access Status Not yet assessed
Volume 97
Issue 5
Start page 2866
End page 2871
Total pages 6
Language eng
Subject 1201 Arts and Humanities (miscellaneous)
3102 Acoustics and Ultrasonics
Abstract Benchmark vibration solutions for thick polygonal plates of arbitrary boundary conditions are presented. The Mindlin first-order shear deformation theory is used to derive the energy functional while the pb-2 Ritz method is employed for solution. By minimizing the difference between the maximum strain and kinetic energies with respect to unknown coefficients in the pb-2 admissible functions, the governing eigenvalue equation is derived. The vibration frequencies are obtained by solving this governing eigenvalue equation. A convergence study has been carried out to verify the accuracy of these results. In the absence of existing results for thick polygonal plates, the present results whère possible are compared with available thin plate solutions by setting the thickness to apothem ratio to be very small (say, t/r = 0.001). Sets of first known vibration frequencies for moderately thick regular polygonal plates are presented as an enhancement to existing literature.
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 1 times in Thomson Reuters Web of Science Article | Citations
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Created: Wed, 06 Sep 2017, 16:03:32 EST by Jeannette Watson