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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

Nonlinear Transverse and In-Plane Vibrations of a Thin Rotating Disk

Authors : Xiang-lin Wu, Ying-hou Jiao, Zhao-bo Chen, Wen-sheng Ma

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

Publisher: Springer International Publishing

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Abstract

An analytical method is presented to investigate nonlinear transverse and in-plane vibrations of a thin rotating disk by using a theory of geometrically nonlinear thin plate. The nonlinear wave solutions of the rotating disk are obtained by Galerkin analysis. The disk is assumed to be isotropic and rotating at the constant speed. The influence of amplitude ratios and rotating speed on natural frequency is studied. Natural frequency and static waves for different nodal-diameter numbers are also calculated. This analytical method not only takes into account the vibration perpendicular to the middle surface of the disk but also the vibration in the middle surface of the disk. In addition, this analytical method provides a more accurate way to solve the severe vibration problems in rotating disks of turbine engine rotors.

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Metadata
Title
Nonlinear Transverse and In-Plane Vibrations of a Thin Rotating Disk
Authors
Xiang-lin Wu
Ying-hou Jiao
Zhao-bo Chen
Wen-sheng Ma
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_10

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