Dynamic Vibrations and Stresses in Elastic Cylinders and Spheres

[+] Author and Article Information
G. Cinelli

Reactor Engineering Division, Argonne National Laboratory, Argonne, Ill.

J. Appl. Mech 33(4), 825-830 (Dec 01, 1966) (6 pages) doi:10.1115/1.3625189 History: Received August 17, 1965; Revised February 09, 1966; Online September 15, 2011


A new finite Hankel transform [1] is used to find the transient displacement and stresses in thick elastic cylinders and spheres when the surfaces are subjected to dynamic loads for the following problems: (a) Pure radial and torsional motion of an infinitely long circular cylindrical shell; (b) radially symmetric motion of a spherical shell. The loads applied to both surfaces of the cylindrical and spherical shells are completely arbitrary functions of space (for the torsional case) and time. Employing the solutions obtained for the arbitrary loads, the spatial and temporal positions of these loads are then specialized to standard forms, such as a line load, band load, impulse, and so on, and the corresponding motion and stresses are found.

Copyright © 1966 by ASME
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