Nonlinear Dynamics of Parametrically Excited Gyroscopic Systems

Namachchivaya, N. S.

University of Illinois at Urbana-Champaign

关键词: Bifurcation;    42 Engineering;    Stability;    Nonlinear Problems;    Dynamics;   

DOI  :  10.2172/836628
RP-ID  :  None
RP-ID  :  FG02-97ER14795
RP-ID  :  836628

美国|英语

来源: UNT Digital Library

【 摘 要 】

The primary objective of this project is to determine how some of the powerful geometric methods of dynamical systems can be applied to study nonlinear gyroscopic systems. We proposed to develop techniques to predict local and global behavior and instability mechanisms and to analyze the interactions between noise, stability, and nonlinearities inherent in gyroscopic systems. In order to obtain these results we use the method of normal forms, global bifurcation techniques, and various other dynamical systems tools.