On the Interaction of Torsion and Bending in Rotating Shafts

[+] Author and Article Information
C. Nataraj

Department of Mechanical Engineering, Villanova University, Villanova, PA 19085-1681

J. Appl. Mech 60(1), 239-241 (Mar 01, 1993) (3 pages) doi:10.1115/1.2900762 History: Received January 25, 1991; Revised February 07, 1992; Online March 31, 2008


The problem of torsional and transverse deformations of a shaft rotating at a constant speed is considered. The displacements are expressed in a perturbation series in terms of a small parameter. Energy expressions are derived to each order and Hamilton’s principle is applied to obtain the equations of motion and the boundary conditions governing the displacement functions of different orders. It is clearly shown that the interaction of torsion and transverse vibration occurs at second order. Previous work reporting results of torsional vibration caused at a frequency equal to twice the rotational speed due to this interaction is confirmed.

Copyright © 1993 by The American Society of Mechanical Engineers
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