NDLI: Quantitative methodology for stability analysis of nonlinear rotor systems

Content Provider	Springer Nature Link
Author	Hui ping, Zheng Yu shu, Chen Yu sheng, Xue
Copyright Year	2005
Abstract	Rotor-bearings systems applied widely in industry are nonlinear dynamic systems of multi-degree-of-freedom. Modern concepts on design and maintenance call for quantitative stability analysis. Using trajectory based stability-preserving and dimensional-reduction, a quantitative stability analysis method for rotor systems is presented. At first, ann-dimensional nonlinear non-autonomous rotor system is decoupled inton subsystems after numerical integration. Each of them has only one-degree-of-freedom and contains time-varying parameters to represent all other state variables. In this way,n-dimensional trajectory is mapped into a set of one-dimensional trajectories. Dynamic central point (DCP) of a subsystem is then defined on the extended phase plane, namely, force-position plane. Characteristics of curves on the extended phase plane and the DCP's kinetic energy difference sequence for general motion in rotor systems are studied. The corresponding stability margins of trajectory are evaluated quantitatively. By means of the margin and its sensitivity analysis, the critical parameters of the period doubling bifurcation and the Hopf bifurcation in a flexible rotor supported by two short journal bearings with nonlinear suspensionare are determined.
Ending Page	1145
Page Count	8
Starting Page	1138
File Format	PDF
ISSN	02534827
e-ISSN	15732754
Journal	Applied Mathematics and Mechanics
Issue Number	9
Volume Number	26
Language	English
Publisher	Springer-Verlag
Publisher Date	2005-01-01
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	bifurcation extended phase plane Stability stability margin Mechanics Bifurcations and instability Applications of Mathematics Mathematical Modeling and Industrial Mathematics dynamic central point nonlinear rotor system kinetic energy difference sequence
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Mechanics of Materials Mechanical Engineering

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