Vibration of annular sector mindlin plates with internal radial line and circumferential arc supports

Liew, KM, Kitipornchai, S and Xiang, Y (1995) Vibration of annular sector mindlin plates with internal radial line and circumferential arc supports. Journal of Sound and Vibration, 183 3: 401-419. doi:10.1006/jsvi.1995.0262


Author Liew, KM
Kitipornchai, S
Xiang, Y
Title Vibration of annular sector mindlin plates with internal radial line and circumferential arc supports
Journal name Journal of Sound and Vibration   Check publisher's open access policy
ISSN 0022-460X
Publication date 1995-06-01
Sub-type Article (original research)
DOI 10.1006/jsvi.1995.0262
Open Access Status Not yet assessed
Volume 183
Issue 3
Start page 401
End page 419
Total pages 19
Language eng
Subject 3104 Condensed Matter Physics
2211 Mechanics of Materials
3102 Acoustics and Ultrasonics
2210 Mechanical Engineering
Abstract An energy approach is presented for the free vibration analysis of thick annular sector plates with internal line/arc supports. This has been a topic of practical interest, but there appears to have been no previous work reported. Based on the stationary energy principle and the recently proposed pb-2 Rayleigh-Ritz method, the governing eigenvalue equation is derived for internally supported thick annular sector plates of different radii, relative thickness ratios, sector angles, and with various end conditions along the radial and circumferential edges. The proposed solution algorithm involves (1) sets of mathematically complete two-dimensional polynomials (p - 2) used as the admissible displacement and rotational functions, and (2) a basic function (b) formed from the piecewise expressions for the boundary and internal line/arc supports. These functions automatically satisfy all the kinematic boundary conditions of the four edges and internal supports. The numerical procedure has been demonstrated by several example plate problems. Convergence and comparison studies for simple examples are used to verify the accuracy of the present 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 17 times in Thomson Reuters Web of Science Article | Citations
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Created: Wed, 06 Sep 2017, 16:03:18 EST by Jeannette Watson