Dynamic behavior of Jeffcott rotors with an arbitrary slant crack orientation on the shaft

Authors

  • Reza Ramezanpour Department of Mechanical Engineering, Isfahan University of Technology
  • Mostafa Ghayour Department of Mechanical Engineering, Isfahan University of Technology
  • Saeed Ziaei-Rad Department of Mechanical Engineering, Isfahan University of Technology

Keywords:

dynamic, rotor system, slant crack, compliance matrix, response spectrum

Abstract

Dynamic behaviour of a Jeffcott rotor system with a slant crack under arbitrary crack orientations is investigated. Using concepts of fracture mechanics, flexibility matrix and stiffness matrix of the system are calculated. The system equations motion is obtained in four directions, two transversal, one torsional and one longitudinal, and then solved using numerical method. In this paper a symmetric relation for global stiffness matrix is presented and proved; whereas there are some literatures that reported nonsymmetrical form for this matrix. The influence of crack orientations on the flexibility coefficients and the steady-state response of the system are also investigated. The results indicate that some of the flexibility coefficients are greatly varied by increasing the crack angle from 30 deg to 90 deg (transverse crack). It is also shown that some of the flexibility coefficients take their maximum values at (approximately) 60 deg crack orientation.

Author Biographies

  • Reza Ramezanpour, Department of Mechanical Engineering, Isfahan University of Technology
    Ph.D. student of mechanical engineering, Isfahan University of Technology (IUT)
  • Mostafa Ghayour, Department of Mechanical Engineering, Isfahan University of Technology
    associate professor of mechanical engineering, Isfahan University of Technology (IUT)
  • Saeed Ziaei-Rad, Department of Mechanical Engineering, Isfahan University of Technology
    professor of mechanical engineering, Isfahan University of Technology (IUT)

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Published

30-Jun-2012

Issue

Vol. 6 No. 1 (2012)

Section

Articles

License

Copyright (c) 2016 Applied and Computational Mechanics

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

“Dynamic behavior of Jeffcott rotors with an arbitrary slant crack orientation on the shaft” (2012) Applied and Computational Mechanics, 6(1). Available at: https://acm.kme.zcu.cz//article/view/157 (Accessed: 24 May 2025).