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Phase-Plane Analyses of Parametrically and Self Excited Mechanical Systems
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Abstract
In order to investigate the behaviors of parametrically
and self-excited mechanical systems, graphically
analytic methods in the phase plane are proposed. Unstable
phenomena like parametric and self-excited vibrations
happen to appear in rotating machinery with a crack, a
rub, the looseness and so on. Such unfavorable vibrations
should be detected and predicted as early as possible. In
this paper, their characteristics are investigated and a
fundamental view for describing and analyzing nonlinear
models is presented