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TECHNICAL BRIEFS

Approximate Roots of Flügge’s Characteristic Equation for the Closed Cylindrical Shell

[+] Author and Article Information
J. R. Colbourne

Department of Mechanical Engineering, University of Alberta, Edmonton, Canada

J. Appl. Mech 36(2), 352-355 (Jun 01, 1969) (4 pages) doi:10.1115/1.3564649 History: Received July 11, 1968; Online September 14, 2011

Abstract

Two approximate solutions are given for Flügge’s closed cylindrical shell characteristic equation, valid for the lower and higher harmonics, respectively. It is shown that as the harmonic number increases, the roots of Donnell’s characteristic equation do not behave asymptotically like those of the Flügge equation.

Copyright © 1969 by ASME
Topics: Pipes , Equations
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