The Effects of Crack on the Transmission Matrix of Rotor Systems

The dynamic behavior of rotor containing crack is a subject of particular interest and has been extensively investigated by researchers. The effects of crack on the natural frequencies and modal shapes and motion orbits of rotor systems have already been well explored by researchers. In the present...

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Main Authors: Z.K. Peng, Z.Q. Lang, G. Meng, F.L. Chu
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.3233/SAV-2010-0564
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author Z.K. Peng
Z.Q. Lang
G. Meng
F.L. Chu
author_facet Z.K. Peng
Z.Q. Lang
G. Meng
F.L. Chu
author_sort Z.K. Peng
collection DOAJ
description The dynamic behavior of rotor containing crack is a subject of particular interest and has been extensively investigated by researchers. The effects of crack on the natural frequencies and modal shapes and motion orbits of rotor systems have already been well explored by researchers. In the present study, the infl uence of crack on the transmission matrices of the rotor systems is investigated by using the FEM (finite element method) analysis and the HBM (harmonic balance method) technique. It is for the first time revealed that there are differences between the transmission matrices for the fundamental frequency components and the transmission matrices for the super-harmonic components, and the differences are mainly determined by the crack location. The results are validated by numerical experiments where the system responses of a rotor system are obtained using Runge-Kutta method. The results are of significance for the development of effective crack detection methods in practice.
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institution Kabale University
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language English
publishDate 2011-01-01
publisher Wiley
record_format Article
series Shock and Vibration
spelling doaj-art-8aed531204614c74b3a33d8b8b1941512025-02-03T01:30:07ZengWileyShock and Vibration1070-96221875-92032011-01-01181-29110310.3233/SAV-2010-0564The Effects of Crack on the Transmission Matrix of Rotor SystemsZ.K. Peng0Z.Q. Lang1G. Meng2F.L. Chu3State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, ChinaDepartment of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield, S1 3JD, UKState Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, ChinaDepartment of Precision Instruments, Tsinghua University, Beijing 100084, ChinaThe dynamic behavior of rotor containing crack is a subject of particular interest and has been extensively investigated by researchers. The effects of crack on the natural frequencies and modal shapes and motion orbits of rotor systems have already been well explored by researchers. In the present study, the infl uence of crack on the transmission matrices of the rotor systems is investigated by using the FEM (finite element method) analysis and the HBM (harmonic balance method) technique. It is for the first time revealed that there are differences between the transmission matrices for the fundamental frequency components and the transmission matrices for the super-harmonic components, and the differences are mainly determined by the crack location. The results are validated by numerical experiments where the system responses of a rotor system are obtained using Runge-Kutta method. The results are of significance for the development of effective crack detection methods in practice.http://dx.doi.org/10.3233/SAV-2010-0564
spellingShingle Z.K. Peng
Z.Q. Lang
G. Meng
F.L. Chu
The Effects of Crack on the Transmission Matrix of Rotor Systems
Shock and Vibration
title The Effects of Crack on the Transmission Matrix of Rotor Systems
title_full The Effects of Crack on the Transmission Matrix of Rotor Systems
title_fullStr The Effects of Crack on the Transmission Matrix of Rotor Systems
title_full_unstemmed The Effects of Crack on the Transmission Matrix of Rotor Systems
title_short The Effects of Crack on the Transmission Matrix of Rotor Systems
title_sort effects of crack on the transmission matrix of rotor systems
url http://dx.doi.org/10.3233/SAV-2010-0564
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