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Analysis of the Non-Linear Dynamic Responses of an Elastic Rotor With a Slant Crack

[+] Author Affiliations
Xiangmin Zhang

Hunan University, Changsha, Hunan, China

Changping Chen

Xiamen University of Technology, Xiamen, Fujian, China

Liming Dai

University of Regina, Regina, SK, Canada

Paper No. IMECE2012-86643, pp. 1021-1028; 8 pages
  • ASME 2012 International Mechanical Engineering Congress and Exposition
  • Volume 4: Dynamics, Control and Uncertainty, Parts A and B
  • Houston, Texas, USA, November 9–15, 2012
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4520-2
  • Copyright © 2012 by ASME


Considering a rotor system with a slant crack, and using an equivalent line-spring model to simulate the slant crack of the rotor, the flexibility model of the slant-cracked rotor is derived. Then considered the geometric non-linearity and based on the Lagrange equations, the non-linear dimensionless differential equations of motion for the slant-cracked rotor are obtained. Further the non-linear dynamic responses of the single rotor system with a slant crack are discussed by the Galerkin method and the harmonic balance method. It’s detailedly studied that the angle, the depth and the position of the slant crack on the rotor all affect on the non-linear dynamic responses of the rotor system, and the conclusion is very significant to the design of the rotor system in the practical reference aspect.

Copyright © 2012 by ASME



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