Free, Transverse Vibrations of a Solid Elastic Mass in an Infinitely Long, Rigid, Circular-Cylindrical Tank

[+] Author and Article Information
J. H. Baltrukonis

Space Technology Laboratories, Inc., Los Angeles, Calif.

J. Appl. Mech 27(4), 663-668 (Dec 01, 1960) (6 pages) doi:10.1115/1.3644079 History: Received January 19, 1959; Revised February 26, 1960; Online September 16, 2011


Making use of the field equations of elasticity, the frequency equation is derived for the free, transverse vibrations of a solid elastic mass contained by an infinitely long, rigid, circular-cylindrical tank. This frequency equation relates the natural circular frequencies and Poisson’s ratio. This relationship is plotted revealing a very interesting steplike variation of the natural frequency with Poisson’s ratio. Displacement fields are plotted for two natural frequencies in each of the first three modes.

Copyright © 1960 by ASME
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