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Forced, axi-symmetric motions of cylindrical shells

✍ Scribed by Herbert Reismann; Joseph Padlog

Publisher
Elsevier Science
Year
1967
Tongue
English
Weight
512 KB
Volume
284
Category
Article
ISSN
0016-0032

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✦ Synopsis

A formal solution is presented for the @namic response of a cylindrical shell (~f finite length under axi-symmetric, 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 eigenfunctions associated with the free vibration of the shell, and appropriote orthogonality and normalization conditions are stated. The free vibration problem for a freely supported shell is solved, and two examples are given of shell response to transient loading conditions. 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. Comparisons with elementary shell theories which neglect these effects are presented.

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