Aspect Ratio Effects on the Added-Mass of a Slender Pulsating Cylinder

[+] Author and Article Information
A. M. Whitman

Towne School of Civil and Mechanical Engineering, University of Pennsylvania, Philadelphia, Pa.

J. Appl. Mech 39(4), 1047-1049 (Dec 01, 1972) (3 pages) doi:10.1115/1.3422826 History: Received March 01, 1971; Online July 12, 2010


We derive, by means of an asymptotic analysis, a simple expression for the added mass per unit length of a finite length, slender, cylinder vibrating in the breathing mode. We find, to dominant order in the expansion, that when the wavelength of the vibration is smaller than the half length, the added mass is independent of the aspect ratio while in the antithetical case it is solely dependent on that quantity.

Copyright © 1972 by ASME
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