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.
Extensional Vibrations of Elastic Orthotropic Spherical Shells
W. H. Hoppmann, II,
W. H. Hoppmann, II
Department of Mechanics, Rensselaer Polytechnic Institute, Troy, N. Y.
W. E. Baker
Ballistic Research Laboratories, Aberdeen Proving Ground, Aberdeen, Md.
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Hoppmann, W. H., II, and Baker, W. E. (June 1, 1961). "Extensional Vibrations of Elastic Orthotropic Spherical Shells." ASME. J. Appl. Mech. June 1961; 28(2): 229–237. https://doi.org/10.1115/1.3641659
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