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Paper Information

Journal:   INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION MANAGEMENT (IJIE) (INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE) (PERSIAN)   Fall 2003 , Volume 14 , Number 4; Page(s) 181 To 193.
 
Paper: 

NON-LINEAR ANALYSIS OF ROTOR-BEARING SYSTEMS USING A COMBINATION OF DIRECT INTEGRATION METHOD AND A MODAL APPROACH

 
 
Author(s):  REZVANI M.A.*
 
* Department of Railway Engineering, Iran University of Science and Technology Narmak, Tehran
 
Abstract: 

The purpose of this article is to present software for transient analysis of rotor bearing systems, developed for solving any number of non-linear second order ordinary differential equations. Transient solutions are still widely used for evaluating the vibrational behavior of rotor bearing systems containing dynamically loaded journal bearings with large unbalance or noncircular orbit type squeeze film dampers, such as dampers without centralizing springs. For parametric design studies, such transient analysis need rapid means for evaluating the motion dependent fluid film forces and for narrow bearings or dampers (aspect ratios less than 0.5) modified short bearing approximation to the Reynolds equation, developed by this author, has generally been assumed. Runge-Kutta integration and Modal approach routines were developed side-by-side including the associated force evaluation and post processing software. The routines obtain solutions and steady state vibration behavior predictions for a journal bearing (or a squeeze film damper) supporting a general multi-mass rotor bearing system on flexible supports. It can be equally applied to rigid rotors as well as flexible rotors. A combination of direct integration of system equations of motion and a modal approach were used to obtain instantaneous absolute displacement, velocity and acceleration of an n degree of freedom system. The utilization of both approaches serves as a valuable numerical method to overcome the problems associated with the need for appropriate system reduction to avoid unnecessarily high natural frequencies. Post processing of the output motions and forces at any location is developed to provide both numerical and graphical output involving time and orbital motions as well as spectral analysis. As a result, phenomena of interest to design such as critical speeds, bi-stability, instability and jump can be checked for rotor bearing systems.

 
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References: 
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