Transverse vibration of thick rectangular plates-I. Comprehensive sets of boundary conditions

Liew, KM, Xiang, Y and Kitipornchai, S (1993) Transverse vibration of thick rectangular plates-I. Comprehensive sets of boundary conditions. Computers & Structures, 49 1: 1-29. doi:10.1016/0045-7949(93)90122-T


Author Liew, KM
Xiang, Y
Kitipornchai, S
Title Transverse vibration of thick rectangular plates-I. Comprehensive sets of boundary conditions
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)90122-T
Open Access Status Not yet assessed
Volume 49
Issue 1
Start page 1
End page 29
Total pages 29
Language eng
Subject 2205 Civil and Structural Engineering
2611 Modelling and Simulation
2500 Materials Science
2210 Mechanical Engineering
1706 Computer Science Applications
Abstract Recently, comprehensive research work has been carried out on the free vibration analysis of thick rectangular plates. Due to its practical importance, a vast array of research results will be presented in a series of four papers. These papers will present comprehensive sets of accurate vibration frequencies for thick rectangular plates subjected to: 21 boundary conditions involving all possible combinations of clamped, simply supported and free edges (part I); oblique internal line supports (part II); internal ring supports (part III) and in-plane isotropic pressure (part IV). In this study, sets of mathematically complete two-dimensional polynomials are assumed in the displacement and rotational functions to approximate the appropriate mode shapes. The energy function derived using Mindlin's plate theory is minimized using the Rayleigh-Ritz procedure which leads to the governing eigenvalue equations. In this part (part I), sets of reasonably accurate vibration frequencies are presented for a wide range of aspect ratios a b and relative thickness ratios t b for each boundary condition. The present results, where possible, are compared with other existing established values.
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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Created: Wed, 06 Sep 2017, 16:17:56 EST by Jeannette Watson