Dunkerley-Mikhlin Estimates of Gravest Frequency of a Vibrating System

[+] Author and Article Information
J. E. Brock

Department of Mechanical Engineering, Naval Postgraduate School, Monterey, Calif.

J. Appl. Mech 43(2), 345-348 (Jun 01, 1976) (4 pages) doi:10.1115/1.3423837 History: Received August 01, 1975; Revised November 01, 1975; Online July 12, 2010


Estimates are made of the smallest nonzero frequency of vibration of undamped linear mechanical systems having lumped and/or distributed mass and permitting rigid body motions. The approximations are smaller than the correct values but remarkable accuracy may be achieved. The procedures are based upon methods of S. Dunkerley and S. G. Mikhlin.

Copyright © 1976 by ASME
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