Relationship Between Vibration Frequencies of Reddy and Kirchhoff Polygonal Plates With Simply Supported Edges-Reference-Cited by-同舟云学术

Relationship Between Vibration Frequencies of Reddy and Kirchhoff Polygonal Plates With Simply Supported Edges

Published:1997-10-01 Issue:1 Volume:122 Page:77-81
ISSN:1048-9002
Container-title:Journal of Vibration and Acoustics
language:en
Short-container-title:

Author:

Wang C. M.¹,Kitipornchai S.²,Reddy J. N.³

Affiliation:

1. Department of Civil Englneering, The National University of Singapore, Kent Ridge 119260, Singapore

2. Department of Civil Engineering, The University of Queensland, Brisbane 4072, Australia

3. Department of Mechanical Engineering, Texas A&M University, College Station, Texas 77843-3123

Abstract

This paper presents an exact relationship between the natural frequencies of Reddy third-order plate theory and those of classical Kirchhoff plate theory for simply supported, polygonal isotropic plates, including rectangular plates. The relationship for the natural frequencies enables one to obtain the solutions of the third-order plate theory from the known Kirchhoff plate theory for the same problem. As examples, some vibration frequencies for rectangular and regular polygonal plates are determined using this relationship. [S0739-3717(00)01601-9]

Publisher

ASME International

Subject

General Engineering

Link

http://asmedigitalcollection.asme.org/vibrationacoustics/article-pdf/122/1/77/5695408/77_1.pdf

Reference15 articles.

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2. Reissner, E. , 1944, “On the Theory of Bending of Elastic Plates,” J. Math. Phys., 23, pp. 184–191.

3. Reissner, E. , 1945, “The Effect of Transverse Shear Deformation on the Bending of Elastic Plates,” ASME J. Appl. Mech., 12, pp. 69–77.

4. Hencky, H. , 1947, “Uber die Berucksichtigung der Schubverzerrung in ebenen Platten,” Ing. Arch.,16, pp. 72–76.

5. Mindlin, R. D. , 1951, “Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates,” ASME J. Appl. Mech., 18, pp. 31–38.

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