High Frequency Response of Beams

[+] Author and Article Information
R. P. Parker

AMF/Harley-Davidson Motor Co., Milwaukee, Wisc.

V. H. Neubert

The Pennsylvania State University, University Park, Pa.

J. Appl. Mech 42(4), 805-808 (Dec 01, 1975) (4 pages) doi:10.1115/1.3423710 History: Received August 01, 1974; Revised March 01, 1975; Online July 12, 2010


In developing the relationship of the normal mode solution for a vibrating rod to the pyrotechnic shock problem, a detailed analysis is presented using the Timoshenko theory to obtain the transient lateral response of a cylindrical rod with free ends to a short duration half sine pulse of either moment or shear applied to one end. Two different series solutions are used and the rates of convergence are compared near the boundary. Results are compared with experimental data.

Copyright © 1975 by ASME
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