Response and Stability of a Self-Sustained Two-Degrees-of-Freedom System With Nonlinear Damping

[+] Author and Article Information
T. C. Huang

Department of Engineering Mechanics, University of Wisconsin, Madison, Wis.

J. Eng. Ind 91(4), 1047-1050 (Nov 01, 1969) (4 pages) doi:10.1115/1.3591746 History: Received December 16, 1968


A self-sustained two-degrees-of-freedom system with nonlinear damping is investigated. The analysis, which involves the application of the van der Pol method and the Andronow and Witt method, leads to the equation of response and stability classification. The novel feature of this analysis is that the form of the resulting equation is such that the classification of singularities of first-order differential equations can be applied. Three-dimensional response surfaces and stability regions for harmonic oscillations are presented.

Copyright © 1969 by ASME
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