Dynamic Stability of a Cantilever Shaft-Disk System

[+] Author and Article Information
Lien-Wen Chen, Der-Ming Ku

Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan 70101, Republic of China

J. Vib. Acoust 114(3), 326-329 (Jul 01, 1992) (4 pages) doi:10.1115/1.2930265 History: Received March 01, 1991; Revised October 01, 1991; Online June 17, 2008


The dynamic stability behavior of a cantilever shaft-disk system subjected to axial periodic forces varying with time is studied by the finite element method. The equations of motion for such a system are formulated using deformation shape functions developed from Timoshenko beam theory. The effects of translational and rotatory inertia, gyroscopic moment, bending and shear deformation are included in the mathematical model. Numerical results show that the effect of the gyroscopic term is to shift the boundaries of the regions of dynamic instability outwardly and, therefore, the sizes of these regions are enlarged as the rotational speed increases.

Copyright © 1992 by The American Society of Mechanical Engineers
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