Vibration Modes of Centrifugally Stiffened Beams

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

Rockwell International, Wind Systems Group, Rocky Flats, Golden, Colo. 80401

C. E. Smith, R. W. Thresher, J. L. C. Wang

Department of Mechanical Engineering, Oregon State University, Corvallis, Ore. 97331

J. Appl. Mech 49(1), 197-202 (Mar 01, 1982) (6 pages) doi:10.1115/1.3161966 History: Received February 01, 1980; Revised July 01, 1981; Online July 21, 2009


The method of Frobenius is used to solve for the exact frequencies and mode shapes for rotating beams in which both the flexural rigidity and the mass distribution vary linearly. Results are tabulated for a variety of situations including uniform and tapered beams, with root offset and tip mass, and for both hinged root and fixed root boundary conditions. The results obtained for the case of the uniform cantilever beam are compared with other solutions, and the results of a conventional finite-element code.

Copyright © 1982 by ASME
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