Research Article
Apr 1968
Forced Axisymmectric Motion of Shallow Spherical Shells
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VIEW THE REPLYAuthors: Herbert Reismann and Paul M. CulkowskiAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 94, Issue 2
Abstract
A formal solution is presented for the dynamic response of a shallow spherical shell under axisymmetric but otherwise arbitrarily distributed, time-dependent surface tractions, for arbitrary initial conditions and (admissible) homogeneous boundary conditions. The solution is obtained in terms of the eigen-functions associated with the free vibration of the shell, and appropriate orthogonality and normalization conditions are formulated. The free vibration problem for a clamped shell is solved, and an example of shell response to a transient loading condition is presented. The theoretical development and its application are carried out within the framework of a theory which accounts for the effect of shear deformation and rotatory inertia. A comparison with the theory which neglects these effects is presented. Significant differences in the predictions of the two theories are noted.
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Published In
Journal of the Engineering Mechanics Division
Volume 94 • Issue 2 • April 1968
Pages: 653 - 670
Copyright
© 1968 American Society of Civil Engineers.
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Published in print: Apr 1968
Published online: Feb 3, 2021
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Herbert Reismann
Prof., Faculty of Engrg. and Applied Science, State Univ. of New York, Buffalo, N. Y.
Paul M. Culkowski
Research Asst., Faculty of Engrg. and Applied Science, State Univ. of New York, Buffalo, N. Y.
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