Research Article
Jun 1969
Nonsymmetric Modes of Complete Spherical Shells
Authors: John F. Gormley and William C.L. HuAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 95, Issue 3
Abstract
A matrix method is applied to calculate the mode shapes and frequencies of nonsymmetric vibrations of complete spherical shells. Based upon a thin shell theory incorporating transverse shear and rotatory inertia, the solution is obtained through Fourier expansions of the meridional mode functions, which are also expressible in terms of associated Legendre functions. As has previously been shown within the framework of membrane theory, the frequency spectra of nonsymmetric modes (n > 1) are found to degenerate to that of axisymmetric vibration for the refined shell theory. Numerical results of nonsymmetric mode shapes are presented.
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Published In
Journal of the Engineering Mechanics Division
Volume 95 • Issue 3 • June 1969
Pages: 545 - 557
Copyright
© 1969 American Society of Civil Engineers.
History
Published in print: Jun 1969
Published online: Feb 3, 2021
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Authors
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John F. Gormley
Preliminary Design Engr., Airesearch Manufacturing Co., Phoenix, Arizona
William C.L. Hu
Asst. Prof. of Engrg., Univ. of California, Los Angeles, Calif.
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.