Skip to main content

A Multi-Crack Identification Algorithm Based on Forced Vibrations from a Shaft System

  • Conference paper
  • First Online:
IUTAM Symposium on Emerging Trends in Rotor Dynamics

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 1011))

Abstract

A multi-crack identification algorithm has been developed based on the forced response from a shaft. Transverse vibrations of a cracked shaft in the two orthogonal planes are analyzed. The presence of cracks in a shaft introduces a local slope discontinuity in the elastic line of the shaft. This slope discontinuity is estimated by approximating the forced response of shaft at consecutive measurement axial locations by a polynomial. The algorithm is tested for numerically simulated responses from the FE modeling of a simply supported shaft having two cracks.

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 EPUB and 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

References

  1. Dimarogonas, A.D.: Vibration of cracked structures: a state of the art review. Eng. Fract. Mech. 55, 831–857 (1996)

    Article  Google Scholar 

  2. Dimarogonas, A.D., Paipetis, S.A.: Analytical Methods in Rotor Dynamics. Elsevier Applied Science, London (1983)

    Google Scholar 

  3. Karthikeyan, M., Tiwari, R., Talukdar, S.: Development of a novel algorithm for a crack detection, localization, and sizing in a beam based on forced response measurements. Trans. ASME, J. Vib. Acoust. 130, 021002-(1–14) (2008)

    Article  Google Scholar 

  4. Darpe, A.K.: A novel way to detect transverse surface crack in a rotating shaft. J. Sound Vib. 305, 151–171 (2007)

    Article  Google Scholar 

  5. Sekhar, A.S.: Multiple cracks effects and identification. Mech. Syst. Signal Process. 22, 845–878 (2008)

    Article  Google Scholar 

  6. Chasalevris, A.C., Papadopoulos, C.A.: Coupled horizontal and vertical bending vibrations of a stationary shaft with two cracks. J. Sound Vib. 309, 507–528 (2008)

    Article  Google Scholar 

  7. Quek, S., Wang, Q., Zhang, L., Ang, K.: Sensitivity analysis of crack detection in beams by wavelet techniques. Int. J. Mech. Sci. 43, 2899–2910 (2001)

    Article  MATH  Google Scholar 

  8. Chasalevris, A.C., Papadopoulos, C.A.: Identification of multiple cracks in beams under bending. Mech. Syst. Signal Process. 20, 1631–1673 (2006)

    Article  Google Scholar 

  9. Papadopoulos, C.A., Dimarogonas, A.D.: Coupled longitudinal and bending vibration of rotating shaft with an open crack. J. Sound Vib. 117, 81–93 (1987)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to R. Tiwari .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer Science+Business Media B.V.

About this paper

Cite this paper

Singh, S.K., Tiwari, R., Talukdar, S. (2011). A Multi-Crack Identification Algorithm Based on Forced Vibrations from a Shaft System. In: Gupta, K. (eds) IUTAM Symposium on Emerging Trends in Rotor Dynamics. IUTAM Bookseries, vol 1011. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0020-8_42

Download citation

  • DOI: https://doi.org/10.1007/978-94-007-0020-8_42

  • Published:

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-0019-2

  • Online ISBN: 978-94-007-0020-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics