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RESEARCH PAPERS

On the Influence of Uniform Stress States on the Natural Frequencies of Spherical Shells

[+] Author and Article Information
R. R. Archer

Division of Engineering, Case Institute of Technology, Cleveland, Ohio

J. Appl. Mech 29(3), 502-505 (Sep 01, 1962) (4 pages) doi:10.1115/1.3640596 History: Received June 08, 1961; Online September 16, 2011

Abstract

The influence of uniform tensile and compressive stress states on the natural frequencies of transverse vibrations for shallow spherical shell segments is determined from the general equations for elastokinetic shallow shell problems with longitudinal inertia terms neglected. General frequency determinants are derived and detailed numerical results obtained for a range of shell geometries and stress states.

Copyright © 1962 by ASME
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