Transverse vibration of thick rectangular plates-III. Effects of multiple eccentric internal ring supports

Liew, KM, Xiang, Y and Kitipornchai, S (1993) Transverse vibration of thick rectangular plates-III. Effects of multiple eccentric internal ring supports. Computers & Structures, 49 1: 59-67. doi:10.1016/0045-7949(93)90124-V


Author Liew, KM
Xiang, Y
Kitipornchai, S
Title Transverse vibration of thick rectangular plates-III. Effects of multiple eccentric internal ring supports
Journal name Computers & Structures   Check publisher's open access policy
ISSN 0045-7949
Publication date 1993-10-01
Sub-type Article (original research)
DOI 10.1016/0045-7949(93)90124-V
Open Access Status Not yet assessed
Volume 49
Issue 1
Start page 59
End page 67
Total pages 9
Language eng
Subject 2205 Civil and Structural Engineering
2611 Modelling and Simulation
2500 Materials Science
2210 Mechanical Engineering
1706 Computer Science Applications
Abstract Part III of this series of four papers presents the free vibration analysis of thick rectangular plates with multiple internal ring supports of arbitrary orientation. The aim of this paper is to investigate the effects of different numbers of rings and boundary conditions on the vibratory response of the plates. The first order shear deformation theory proposed by Mindlin is employed in the theoretical formulation. Through the process the resulting energy functional is minimized using the Rayleigh-Ritz method with sets of admissible mathematically complete two-dimensional polynomials in the displacement (transverse deflection) and rotation functions. This leads to a governing eigenvalue equation which can be solved to determine the vibration frequencies. Rectangular plates resting on multiple eccentric ring supports with different combinations of boundary conditions have been solved to demonstrate the effectiveness and accuracy of the method. In this paper, sets of reasonably accurate vibration frequencies are presented for various plate aspect ratios a b and relative thickness ratios t b. For some cases where established literature exists, comparisons have been made to verify the present solution process.
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 7 times in Thomson Reuters Web of Science Article | Citations
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Created: Wed, 06 Sep 2017, 16:18:23 EST by Jeannette Watson