Vibration Frequencies for a Uniform Beam With One End Elastically Supported and Carrying a Mass at the Other End

[+] Author and Article Information
D. A. Grant

Department of Mechanical Engineering, University of Maine, Orono, Maine.

J. Appl. Mech 42(4), 878-880 (Dec 01, 1975) (3 pages) doi:10.1115/1.3423723 History: Received September 01, 1975; Online July 12, 2010


In this paper the author obtains the frequency equation for the normal modes of vibration of uniform beams with linear translational and rotational springs at one end and having a concentrated mass at the other free end. The eigenfrequencies for the fundamental mode are given for a wide range of values of mass ratio, mass moment of inertia ratios, and stiffness ratios.

Copyright © 1975 by ASME
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