A Method to Determine the Periodic Solution Based on Observed State Information and Nonlinear Analysis of Hydrodynamic Bearing-Rotor System

Yan Jun Lu; Yong Fang Zhang; Ying Wu Fang; Heng Liu

doi:10.4028/www.scientific.net/KEM.353-358.2475

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HomeKey Engineering MaterialsKey Engineering Materials Vols. 353-358A Method to Determine the Periodic Solution Based...

A Method to Determine the Periodic Solution Based on Observed State Information and Nonlinear Analysis of Hydrodynamic Bearing-Rotor System

Abstract:

In this paper, a numerical method is presented to determine the periodic response of hydrodynamic bearing-rotor system. The observed state information of the system is used to solve inversely the Jacobian matrix, and to trace the periodic response with the change of the control parameter. Jacobian matrix obtained is used to calculate the Floquet multiplier, so the stability of the periodic response can be determined by Floquet theory. The proposed method is applied to a rotor system with the elliptical bearing supports to solve the periodic response and determine its nonlinear stability. Validity of this method is illustrated by comparing numerical results with the traditional method.

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Periodical:

Key Engineering Materials (Volumes 353-358)

Pages:

2475-2478

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.353-358.2475

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Online since:

September 2007

Authors:

Yan Jun Lu, Yong Fang Zhang, Ying Wu Fang, Heng Liu

Keywords:

Bifurcation, Finite Element Model (FEM), Nonlinear Dynamics, Stability

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References

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