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Image of Vibration Testing and System Dynamics
ISSN: 2475-4811 (print)
ISSN: 2475-482X (online)
Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland

Email: pawel.olejnik@p.lodz.pl

C. Steve Suh (editor)

Texas A&M University, USA

Email: ssuh@tamu.edu

Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China

Email: tuoxianguo@suse.edu.cn

Nonlinear Dynamics of a Reduced Cracked Rotor

Journal of Vcibration Testing and System Dynamics 2(3) (2018) 257--269 | DOI:10.5890/JVTSD.2018.09.006

K. Lu$^{1}$,$^{3}$,$^{4}$, Y. Lu$^{1}$, B. C. Zhou$^{1}$, W. Jian$^{1}$, Y. F. Yang$^{1}$, Y. L. Jin$^{2}$, Y. S. Chen$^{3}$

$^{1}$ Institute of Vibration Engineering, Northwestern Polytechnical University, Xi’an, 710072, P. R. China

$^{2}$ School of Aeronautics and Astronautics, Sichuan University, 610065, P. R. China

$^{3}$ School of Astronautics, Harbin Institute of Technology, Harbin 150001, P. R. China

$^{4}$ College of Engineering, The University of Iowa, Iowa City, IA 52242, USA

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Abstract

The transient proper orthogonal decomposition (TPOD) method is applied for order reduction in the rotor system in this paper. A 26-DOFs rotor model with crack is established by the Newton’s second law, and the dynamical behaviors (bifurcation diagram, mplitude frequency curve, etc.) of the crack fault are discussed. The optimal reduced model can be provided by the proper orthogonal mode (POM) energy method, the TPOD method is applied to reduce the original system to a three-DOFs one at a certain speed corresponds to the maximum energy. The efficiency of the TPOD method is verified via comparing with the bifurcation diagram of the original and reduced rotor system. The order reduction method provides qualitative analysis to study the reduced model of the high-dimensional rotor system.

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