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Special class of nonlinear damping models in flexible space structuresA special class of nonlinear damping models is investigated in which the damping force is proportional to the product of positive integer or the fractional power of the absolute values of displacement and velocity. For a one-degree-of-freedom system, the classical Krylov-Bogoliubov 'averaging' method is used, whereas for a distributed system, both an ad hoc perturbation technique and the finite difference method are employed to study the effects of nonlinear damping. The results are compared with linear viscous damping models. The amplitude decrement of free vibration for a single mode system with nonlinear models depends not only on the damping ratio but also on the initial amplitude, the time to measure the response, the frequency of the system, and the powers of displacement and velocity. For the distributed system, the action of nonlinear damping is found to reduce the energy of the system and to pass energy to lower modes.
Document ID
19910038323
Document Type
Reprint (Version printed in journal)
Authors
Hu, Anren (NASA Langley Research Center Hampton, VA, United States)
Singh, Ramendra P. (Dynacs Engineering Corp. Palm Harbor, FL, United States)
Taylor, Lawrence W. (NASA Langley Research Center Hampton, VA, United States)
Date Acquired
August 15, 2013
Publication Date
February 1, 1991
Publication Information
Publication: Journal of Guidance, Control, and Dynamics
Volume: 14
ISSN: 0731-5090
Subject Category
STRUCTURAL MECHANICS
Distribution Limits
Public
Copyright
Other