Vibration of triangular Mindlin plates subject to isotropic in-plane stresses

Xiang Y., Liew K.M., Kitipornchai S. and Wang C.M. (1994) Vibration of triangular Mindlin plates subject to isotropic in-plane stresses. Journal of Vibration and Acoustics, Transactions of the ASME, 116 1: 61-66. doi:10.1115/1.2930397


Author Xiang Y.
Liew K.M.
Kitipornchai S.
Wang C.M.
Title Vibration of triangular Mindlin plates subject to isotropic in-plane stresses
Journal name Journal of Vibration and Acoustics, Transactions of the ASME   Check publisher's open access policy
ISSN 1048-9002
Publication date 1994-01-01
Sub-type Article (original research)
DOI 10.1115/1.2930397
Volume 116
Issue 1
Start page 61
End page 66
Total pages 6
Language eng
Subject 2206 Computational Mechanics
2210 Mechanical Engineering
2211 Mechanics of Materials
3102 Acoustics and Ultrasonics
Abstract The influence of isotropic in-plane stresses on the fundamental vibration frequencies of thick triangular plates is investigated. Some critical buckling factors are also presented in the paper. Due to the lack of results and importance of this topic, the Rayleigh-Ritz method is applied to solve the governing eigenvalue function based on the Mindlin plate theory. The fundamental frequency parameters for triangular Mindlin plates subject to uniform tensile and compressive stresses with different combinations of free, simply supported, and clamped boundary conditions are determined. The solutions are presented in the form of design charts where the fundamental frequency parameters can easily be read for particular thickness to width ratios (t/b) and in-plane stresses. Since no other vibration solution for thick triangular plate is available, the thin triangular plate solutions obtained by setting the thickness to width ratio to be very small (say t/b = 0.001), where possible, are verified with known solutions from the open 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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