Skip to main content

Numerical Studies of a Nonlinear Flexible Rotating System Under Harmonic Ground Motion

  • Conference paper
  • First Online:
Proceedings of the 9th IFToMM International Conference on Rotor Dynamics

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 21))

Abstract

The nonlinear behavior of a rotating system with large elastic deformation subjected to harmonically varying ground disturbance has been investigated numerically. The Euler-Bernoulli beam theorem has been adopted in order to derive the partial differential equation governing the dynamics characteristics of the rotating system using extended Hamilton’s principle. Method of multiple scales has been selected  in approximately finding the nonlinear dynamic characteristics of the system for possible resonance conditions. The effect of nonlinearities and other variations in the values of different parameters like amplitude of external excitation, position of disk along the span, and mass of the disk on the system performance has been investigated. The outcome from the present work will furnish a proper guidance to the designers in the vicinity of the limitation and safe range of operational speed of rotor shaft under the variation of other control parameters.

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 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
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. Adams LM, Adama JR (2001) Rotating machinery vibrations from analysis to troubleshooting. Dekker, New York

    Google Scholar 

  2. Duchemin M, Berlioz A, Ferraris G (2006) Dynamic behavior and stability of a rotor under base excitations. J Vib Acoust 128(5):576–585

    Article  Google Scholar 

  3. Luczko J (2002) A geometrically nonlinear model of rotating shafts with internal resonance and self excited vibrations. J Sound Vib 255(3):433–456

    Article  Google Scholar 

  4. Hosseini S, Khadem S (2009) Free vibration analysis of a rotating shaft with nonlinearities in curvature and inertia. Mech Mach Theory 44:272–288

    Article  MATH  Google Scholar 

  5. Rizwan S, Guilhem M, Alain B (2011) Modeling and analysis of nonlinear rotordynamics due to higher order deformations in bending. Appl Math Model 35(5):2145–2159

    Article  MATH  MathSciNet  Google Scholar 

  6. Nayfeh AH (1993) Introduction to perturbation techniques. Wiley, New York

    Google Scholar 

  7. Nayfeh AH, Balachandran B (1995) Applied nonlinear dynamics analytical, computational and experimental methods. Wiley, New York

    Book  MATH  Google Scholar 

  8. Pratiher B (2011) Nonlinear response of a magnetoelastic translating beam with prismatic joint for higher resonance conditions. Int J Non-Linear Mech 46:685–692

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Barun Pratiher .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Choudhary, B., Pratiher, B. (2015). Numerical Studies of a Nonlinear Flexible Rotating System Under Harmonic Ground Motion. In: Pennacchi, P. (eds) Proceedings of the 9th IFToMM International Conference on Rotor Dynamics. Mechanisms and Machine Science, vol 21. Springer, Cham. https://doi.org/10.1007/978-3-319-06590-8_138

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-06590-8_138

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-06589-2

  • Online ISBN: 978-3-319-06590-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics