Transverse vibration of thick rectangular plates-IV. Influence of isotropic in-plane pressure

Liew, KM, Xiang, Y and Kitipornchai, S (1993) Transverse vibration of thick rectangular plates-IV. Influence of isotropic in-plane pressure. Computers & Structures, 49 1: 69-78. doi:10.1016/0045-7949(93)90125-W


Author Liew, KM
Xiang, Y
Kitipornchai, S
Title Transverse vibration of thick rectangular plates-IV. Influence of isotropic in-plane pressure
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)90125-W
Open Access Status Not yet assessed
Volume 49
Issue 1
Start page 69
End page 78
Total pages 10
Language eng
Subject 2205 Civil and Structural Engineering
2611 Modelling and Simulation
2500 Materials Science
2210 Mechanical Engineering
1706 Computer Science Applications
Abstract Part IV of this series of four papers reports a study of the effects of isotropic in-plane pressure on the vibration response of thick rectangular plates. In the theoretical formulation of the governing functional, the effects of transverse shear deformation and rotatory inertia have been incorporated using Mindlin's first order shear deformation theory. Sets of mathematically complete two-dimensional polynomials have been used as the admissible displacement and rotation functions in the Rayleigh-Ritz procedure to derive the governing eigenvalue equation. In this paper, several rectangular plates with different combinations of boundary conditions and various aspect ratios a b and relative thickness ratios t b are considered. Sets of reasonably accurate vibration frequencies are presented for these in-plane loaded rectangular plates in the form of design charts. The results, where possible, are compared with established values from the open literature. Some basic discussion of the effects of shear deformation and rotatory inertia has been included based on trends in the numerical results.
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 16 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 23 times in Scopus Article | Citations
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Created: Wed, 06 Sep 2017, 16:18:35 EST by Jeannette Watson