Strength of Materials

, Volume 44, Issue 6, pp 678–685 | Cite as

Vibration analysis of rotor with a “breathing” crack using three-dimensional model

  • N. G. Shul’zhenko
  • B. F. Zaitsev
  • N. E. Vikman
  • A. V. Asaenok

A procedure for analyzing vibrations in cracked body using three-dimensional model is presented. The process of “breathing” is described by conditions of contact between the crack faces. Some example calculations are provided.


Rotor crack three-dimensional model contact finite element 


  1. 1.
    N. G. Shul’zhenko and Yu. S. Vorob’ev, Numerical Analysis of Vibrations in the Turbine-Driven Set–Foundation System [in Russian], Naukova Dumka, Kiev (1991).Google Scholar
  2. 2.
    V. V. Matveev and A. P. Bovsunovskii, “On determination of vibration characteristics of a beam with a closing crack in bending vibrations,” Strength Mater., 32, No. 3, 211–224 (2000).CrossRefGoogle Scholar
  3. 3.
    J. Kicinski, “Assessment of materials and operational imperfections in rotating machinery,” Key Eng. Mater., 293-294, 391–400 (2005).CrossRefGoogle Scholar
  4. 4.
    A. S. Sekhar and J. K. Dey, “Effects of cracks on rotor system instability,” Mech. Mach. Theory, 35, 1657–1674 (2000).CrossRefGoogle Scholar
  5. 5.
    A. K. Darpe, K. Gupta, and A. Chawla, “Coupled bending, longitudinal and torsional vibrations of a cracked rotor,” J. Sound Vibr., 269, 33–60 (2004).CrossRefGoogle Scholar
  6. 6.
    P. Pennacchi, N. Bachschmid, and A. Vania, “A model-based identification method of transverse cracks in rotating shafts suitable for industrial machines,” Mech. Systems Signal Proc., 20, 2112–2147 (2000).CrossRefGoogle Scholar
  7. 7.
    A. V. Asaenok, B. F. Zaitsev, and N. G. Shul’zhenko, “Procedure of inserting sections to the finite element method scheme in problems of statics and natural vibrations of three-dimensional structures,” Probl. Mashinostr., 6, No. 3, 58–63 (2003).Google Scholar
  8. 8.
    B. F. Zaitsev, N. G. Shul’zhenko, A. V. Asaenok, and N. E. Eretskaya, “Vibration analysis of a body containing cracks with contact faces,” Probl. Mashinostr., 11, No. 4, 34–42 (2008).Google Scholar
  9. 9.
    B. F. Zaitsev, A. V. Asaenok, and N. E. Vikman, “Construction of mass matrices for considering centrifugal forces under vibrations of a three-dimensional rotating body,” Vestn. NTU “KhPI.” Dinam. Prochn. Mashin, Issue 30, 52–56 (2009).Google Scholar
  10. 10.
    K.-J. Bathe and E. L. Wilson, Numerical Methods in Finite Element Analysis, Prentice-Hall, Englewood Cliffs, NJ (1976).Google Scholar

Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • N. G. Shul’zhenko
    • 1
  • B. F. Zaitsev
    • 1
  • N. E. Vikman
    • 1
  • A. V. Asaenok
    • 1
  1. 1.Podgorny Institute for Mechanical Engineering ProblemsKharkovUkraine

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