Critical Speeds of Rotating Shaft Subjected to Axial Loading and Tangential Torsion

[+] Author and Article Information
N. Willems, S. M. Holzer

Department of Civil Engineering, University of Kansas, Lawrence, Kan.

J. Eng. Ind 89(2), 259-264 (May 01, 1967) (6 pages) doi:10.1115/1.3610037 History: Received July 26, 1966; Online August 25, 2011


In this study the classical theory of the bending and twisting of thin rods is utilized and applied to the case of a rotating shaft subjected to axial loading and tangential torsion. The differential equation of small bending oscillations in its complex form is solved by using a three-term Galerkin approximation satisfying the boundary conditions term by term. Convergence of the solution is indicated by comparing the two-term and three-term approximations. The special cases of a stationary shaft subjected to axial load or twist are discussed briefly. Experimental results closely agree with the theoretically predicted values.

Copyright © 1967 by ASME
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