Free Vibrations of Thick, Complete Conical Shells of Revolution From a Three-Dimensional Theory

[+] Author and Article Information
Jae-Hoon Kang1

Department of Architectural Engineering,  Chung-Ang University, 221 Heuksuk-Dong, Dongjak-Ku, Seoul 156-756, South Koreajhkang@cau.ac.kr

Arthur W. Leissa

 Colorado State University, Fort Collins, CO 80523-1374


To whom correspondence should be addressed.

J. Appl. Mech 72(5), 797-800 (Jan 20, 2005) (4 pages) doi:10.1115/1.1989355 History: Received September 16, 2004; Revised January 20, 2005

A three-dimensional (3D) method of analysis is presented for determining the free vibration frequencies and mode shapes of thick, complete (not truncated) conical shells of revolution in which the bottom edges are normal to the midsurface of the shells based upon the circular cylindrical coordinate system using the Ritz method. Comparisons are made between the frequencies and the corresponding mode shapes of the conical shells from the authors' former analysis with bottom edges parallel to the axial direction and the present analysis with the edges normal to shell midsurfaces.

Copyright © 2005 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 2

Comparison of thick (h∕R=0.3) conical shells having bottom edges of present analysis with those of (1)

Grahic Jump Location
Figure 1

A cross section of thick conical shell of revolution with the bottom edge normal to the midsurface, and the circular cylindrical coordinate system (r,z,θ)



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