Dynamic Stability of the Rotating Shaft Made of Boltzmann Viscoelastic Solid

[+] Author and Article Information
W. Zhang

Department of Applied Mechanics, Fudan University, Shanghai, People’s Republic of China 201 903

F. H. Ling

Department of Engineering Mechanics, Shanghai Jiao Tong University, Shanghai, People’s Republic of China 200 030

J. Appl. Mech 53(2), 424-429 (Jun 01, 1986) (6 pages) doi:10.1115/1.3171775 History: Received January 23, 1985; Revised October 25, 1985; Online July 21, 2009


A general theory is developed in this paper for studying the dynamic stability of high-speed nonuniform rotating shafts made of a Boltzmann viscoelastic solid. The equation of motion of the shaft is deduced. The stability criteria are derived by using this equation. The unstable regions for a nonhomogeneous viscoelastic shaft are worked out numerically. Analytical formulas are also given in this paper for determining the planar deflection of the shaft and its inclined angle due to a planar static load. The conclusions for special cases given in the literature known to the authors are all covered by the results in this paper.

Copyright © 1986 by ASME
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