Fundamental Frequency of an Isosceles-triangular Plate
TLDR
In this paper, the problem of natural vibrations of an isosceles-triangular plate with all edges clamped or with two equal edges and the base edge supported is treated by means of the energy method.Abstract:
The problem of natural vibrations of an isosceles-triangular plate with all edges clamped or with two equal edges clamped and the base edge supported is treated in this paper by means of the energy method, which was applied by one of the authors to the eigenvalue problems of a rhomboidal plate with all edges clamped. Numerical values of the fundamental frequencies are calculated for plates with several contained angles, and they are checked by experiments.read more
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Journal ArticleDOI
Vibration analysis of plates of arbitrary shape—A new approach
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Moving least square Ritz method for vibration analysis of plates
Li Zhou,Wei Xing Zheng +1 more
TL;DR: In this article, the authors proposed the moving least square Ritz method (MLS-Ritz) for free vibration analysis of classical thin plates, where the edge support conditions of a plate are satisfied by forcing the boundary points to meet the geometric boundary conditions of the plate via a point substitution technique and virtual points are introduced for clamped edges to improve the convergence and accuracy of the calculations.
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Vibration of triangular plates of variable thickness
S. Mirza,Mohan Bijlani +1 more
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Upper and lower bounds for frequencies of trapezoidal and triangular plates
J.R. Kuttler,V.G. Sigillito +1 more
TL;DR: In this article, upper and lower bounds for the lowest frequencies of vibration of clamped trapezoidal and triangular plates were given. But they were not given for the vibrational frequencies of these shapes.
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