On Vibrations of Shells of Revolution Using Bezier Polynomials

[+] Author and Article Information
A. V. Singh

Department of Mechanical Engineering, The University of Western Ontario, London, Ontario, Canada

J. Pressure Vessel Technol 113(4), 579-584 (Nov 01, 1991) (6 pages) doi:10.1115/1.2928798 History: Received September 05, 1990; Revised February 07, 1991; Online June 17, 2008


A very computationally efficient numerical technique for the free vibration analysis of shells of revolution is presented in this study. The generic segment of the shell structure is given in the form of a circular arc which revolves around the vertical axis. Displacement fields in each segment are represented by quintic Bezier functions which are shown in this investigation to have very desired characteristics. Accurate values of the dimensionless frequency parameter were obtained using only two to four shell segments of spherical, cylindrical, and conical shells and compared favorably with the results from the open literature. Complicated-shaped rotationally symmetric shell structures described by a series of circular arc segments tangential to each other at the juncture, can be analyzed without any approximation in geometry.

Copyright © 1991 by The American Society of Mechanical Engineers
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