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Application of Genetic Algorithm for Synthesis of H∞ Controllers for Active Magnetic Bearing Systems Read chapter Read first chapter

2019 | OriginalPaper | Chapter

A Modified Model Reduction Technique for the Dynamic Analysis of Rotor-Stator Rub

Authors : K. Prabith, I. R. Praveen Krishna

Published in: Proceedings of the 10th International Conference on Rotor Dynamics – IFToMM

Publisher: Springer International Publishing

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Abstract

This paper discusses a modified model reduction technique for the nonlinear rubbing analysis of a rotor disk with its stator. The rotor system consisting of a rigid disk, shaft and bearings is modeled using finite elements, incorporating the effects of rotary inertia and gyroscopic moments of both shaft and disk. The stator is modeled as an added stiffness to the rotor system without considering the stator dynamics and dry friction effect at the contact. The nonlinearities are localized at the rub location which permits the use of model reduction techniques, making the finite element model more compact. Component Mode Synthesis with a Craig-Bampton type sub-structuring is an efficient technique for model reduction. But, this method has some limitations due to the presence of nonlinearities in the system. In this paper, a modified Component Mode Synthesis method with dynamic sub-structuring is developed for the reduction of complete finite element model into a smaller model containing nonlinear degrees of freedom (DOF) only. This method has an advantage over existing methods is that it can be used for systems with non-symmetric element matrices. The reduced model is solved using Harmonic Balance Method (HBM) coupled with a hypersphere based continuation algorithm.

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previous chapter Rubbing Effect Analysis in a Continuous Rotor Model
next chapter Analysis of Variable Mass Rotordynamic Systems with Semi-analytic Time-Integration
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Metadata
Title
A Modified Model Reduction Technique for the Dynamic Analysis of Rotor-Stator Rub
Authors
K. Prabith
I. R. Praveen Krishna
Copyright Year
2019
Book
Proceedings of the 10th International Conference on Rotor Dynamics – IFToMM

Print ISBN: 978-3-319-99269-3

Electronic ISBN: 978-3-319-99270-9

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-319-99270-9_29

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