Skip to main content

Prediction Life of Horizontal Rotors by Natural Frequency Evolution

  • Conference paper
Design and Modeling of Mechanical Systems

Abstract

Detection of crack shaft in a rotating machine is one of the most challenging problems in equipment predictive maintenance. In the available literature, various crack detection methods have been applied to study the dynamic behavior of a cracked shaft. This study concerned with the dynamic behavior of the rotor. We have also studied the different types of transverse cracks and the different methods that have been applied for shaft crack diagnosis. We have also studied the forces applied to the rotor and the movement in order to determine the stress, strain and mode shapes. Was also addressed in this note to study the issues of cracks in three-dimensional in solid objects by using ABAQUS software which based to finite element to give the results. The six first natural frequencies of rotor were decreased after cracking in the shaft critical zone, and this reduce is nonlinear; however the corresponding displacements were increased. Also the stress and strain increased with crack initiation. This reduces of mode shapes frequencies can be used indicator for diagnostic and predicted the life time of rotor.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Dimarogonas, A.D., Papadopoulos, C.A.: Vibration of cracked shafts in bending. Journal of Sound and Vibration 91(4), 583–593 (1983)

    Article  MATH  Google Scholar 

  2. Dimarogonas, A.D.: Vibration of cracked structures: A state of the art review. Engineering Fracture Mechanics 55(5), 831–857 (1996)

    Article  Google Scholar 

  3. Sabnavis, G., Kirk, R.G., Kasarda, M., Quinn, D.: Cracked Shaft Detection and Diagnostics: A Literature Review. The Shock and Vibration Digest 36(4), 287–296 (2004)

    Article  Google Scholar 

  4. Gasch, R.: A Survey of the Dynamic Behavior of a Simple Rotating Shaft with a Transverse Crack. Journal of Sound and Vibration 160(2), 313–332 (1993)

    Article  MATH  Google Scholar 

  5. Dirr, B.O., Popp, K., Rothkegel, W.: Detection and simulation of small transverse cracks in rotating shafts. Archive of Applied Mechanics 64(3), 206–222 (1994)

    Google Scholar 

  6. Han, D.J.: Vibration analysis of periodically time-varying rotor system with transverse crack. Mechanical Systems and Signal Processing 21(7), 2857–2879 (2007)

    Article  Google Scholar 

  7. Al-Shudeifat, M.A., Butcher, E.A.: New breathing functions for the transverse breathing crack of the cracked rotor system: Approach for critical and subcritical harmonic analysis. Journal of Sound and Vibration 330(3), 526–544 (2011)

    Article  Google Scholar 

  8. Wauer, J.: On the Dynamics of Cracked Rotors: A Literature Survey. Applied Mechanics Reviews 43(1), 13–17 (1990)

    Google Scholar 

  9. Carden, E.P., Fanning, P.: Vibration Based Condition Monitoring: A Review. Structural Health Monitoring 3, 355–377 (2004)

    Article  Google Scholar 

  10. Sekhar, A.S., Prabhu, B.S.: Crack detection and vibration characteristics of cracked shafts. Journal of Sound and Vibration 157(2), 375–381 (1992)

    Article  Google Scholar 

  11. Bachschmid, N., Pennacchi, P., Tanzi, E., Vania, A.: Identification of transverse crack position and depth in Rotor Systems. Meccanica 35(6), 563–582 (2000)

    Article  MATH  Google Scholar 

  12. Lee, Y.-S., Chung, M.-J.: A study on crack detection using eigenfrequency test data. Computers & Structures 77(3), 327–342 (2000)

    Article  MathSciNet  Google Scholar 

  13. Mohiuddin, M.A., Khulief, Y.A.: Dynamic Response Analysis of Rotor-Bearing Systems With Cracked Shaft. Journal of Mechanical Design 124(4), 690–696 (2002)

    Article  Google Scholar 

  14. Dong, G.M., Chen, J., Zou, J.: Parameter identification of a rotor with an open crack. European Journal of Mechanics - A/Solids 23(2), 325–333 (2004)

    Article  MATH  Google Scholar 

  15. Ishida, Y., Inoue, T.: Detection of a Rotor Crack Using a Harmonic Excitation and Nonlinear Vibration Analysis. Journal of vibration and Acoustics 128(6), 741–749 (2006)

    Article  Google Scholar 

  16. Sekhar, A.S.: Identification of unbalance and crack acting simultaneously in a rotor system: Modal expansion versus reduced basis dynamic expansion. Journal of Vibration and Control 11(9), 1125–1145 (2005)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sami Lecheb .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Lecheb, S., Nour, A., Chellil, A., Sam, S., Belmiloud, D., Kebir, H. (2013). Prediction Life of Horizontal Rotors by Natural Frequency Evolution. In: Haddar, M., Romdhane, L., Louati, J., Ben Amara, A. (eds) Design and Modeling of Mechanical Systems. Lecture Notes in Mechanical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37143-1_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-37143-1_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-37142-4

  • Online ISBN: 978-3-642-37143-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics