Extensional Vibrations of Elastic Orthotropic Spherical Shells

[+] Author and Article Information
W. H. Hoppmann

Department of Mechanics, Rensselaer Polytechnic Institute, Troy, N. Y.

W. E. Baker

Ballistic Research Laboratories, Aberdeen Proving Ground, Aberdeen, Md.

J. Appl. Mech 28(2), 229-237 (Jun 01, 1961) (9 pages) doi:10.1115/1.3641659 History: Received June 17, 1960; Online September 16, 2011


The extensional vibrations (momentless) of spherical shells of elastic orthotropic material have been studied theoretically. Equations of motion have been derived and solved. The principal directions of the elastic compliances are assumed to be along parallels of latitude and along meridians. In addition to the case of orthotropic shells of uniform thickness, the analysis may be applied in the case of shells with stiffeners attached. Special consideration is given to the isotropic shell as a limiting case of the orthotropic shell.

Copyright © 1961 by ASME
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