Skip to main content

Crossing and Veering Phenomena in Crank Mechanism Dynamics

  • Conference paper
  • First Online:
Topics in Model Validation and Uncertainty Quantification, Volume 5

Abstract

Modal analysis is widely used both on single components and mechanical complex assemblies and it is recognized to be a fundamental step on the functional design process. From experimental point of view, a change in a system parameter due to the need of describing a different assembly configuration, can require iterative measurements, and can be quite time consuming. On the other hand, by evaluating the dynamic behaviour of the single component instead of the whole system, it is not straightforward to forecast the general dynamics of the entire assembly: inertia and stiffness couplings give rise to curious dynamic phenomena, namely crossing and veering of eigenvalue loci. Many theoretical studies on eigenvalue curve crossing and curve veering, i.e. the coincidence of two eigenfrequencies or the abrupt divergence of natural frequencies trends, have been carried out in recent years, but only few references on detailed test sessions and practical applications are available. The present paper wants to give a better overview on the change of the dynamic properties of a system by comparing global mode shapes to single component mode shapes. The examined structure is a crank mechanism, made of a crankshaft joined to four connecting rods and four pistons. The chosen control parameter that is responsible of a change in the dynamic properties of the system is the crank angle. Numerical models have been used to compute eigenvalues and eigenvectors of the analysed structure, considering both FEM models and multibody approach. Finally, an original graphical interpretation of the transition from component to system dynamics is presented by means of the MAC index.

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. Leissa W (1974) On a curve veering aberration. J Appl Math Physics 25:99–111

    Article  MATH  Google Scholar 

  2. Chen X, Kareem A, Matsumoto M (2001) multimode coupled flutter and buffeting analysis of long span bridges. J Wind Eng 89:649–664

    Google Scholar 

  3. Bae JS, Inman DJ, Lee I (2004) Effects of structural nonlinearity on subsonic aeroelastic characteristics of an aircraft wing with control surface. J Fluids Struct 19:747–763

    Article  Google Scholar 

  4. Khodaparast H, Mottershead JE, Badcock K (2010) Propagation of structural uncertainty to lineat aeroelastic stability. J Fluids Struct 88:223–236

    Google Scholar 

  5. Chan Y, Inman DJ (2010) Management of the variability of vibration response levels in mistuned bladed discs using robust design concepts. Part 1 parameter design. Mech Syst Signal Process 24:2777–2791

    Article  Google Scholar 

  6. Tang D, Dowell E (2010) Aeroelastic response of aircraft with freeplay structural nonlinearity. In: Proceedings of 2nd aircraft structural design conference, London

    Google Scholar 

  7. Maeda T, Baburaj V, Ito Y, Koga T (1998) Flexural-torsional coupling effect on vibrational characteristics of angle-ply laminates. J Sound Vib 210(3):351–365

    Article  Google Scholar 

  8. Chen X, Kareem A (2003) Curve veering of eigenvalues loci of bridges with aeroelastic effects. J Eng Mech 129(2):146–159

    Article  Google Scholar 

  9. Benedettini F, Zulli D, Alaggio R (2009) Frequency-veering and mode hybridization in arch bridges. In: Proceedings of the IMAC-XXVII, Orlando

    Google Scholar 

  10. du Bois JL, Adhikari S, Lieven NA (2007) Experimental and numerical investigation of mode veering in a stressed structure. In: Proceedings of 25th IMAC, Detroit

    Google Scholar 

  11. Allemang RJ, Brown DL (1982) A correlation coefficient for modal vector analysis. In: Proceedings of first IMAC, Orlando, pp 110–116

    Google Scholar 

  12. Bonisoli E, Delprete C, Esposito M, Mottershead JE (2011) Structural dynamics with coincident eigenvalues: modelling and testing. In: Proceedings of 29th IMAC, Detroit, vol 3(6), pp 325–337

    Google Scholar 

  13. Wilson K (1963) Torsional vibration problems. Chapman & Hall, London

    Google Scholar 

  14. Mourelatos Z. (2001) A crankshaft system model for structural dynamic analysis of internal combustion engines. Comput Struct 79(20–21):2009–2027

    Article  Google Scholar 

  15. Mendes AS, Meirelles PS, Zampieri DE (2008) Analysis of torsional vibration in internal combustion engines: modelling and experimental validation. J Multi-body Dyn 222(2):155–178

    Google Scholar 

  16. Brusa E, Delprete C, Genta G (1997) Torsional vibration of crankshafts: effects of non-constant moments of inertia. J Sound Vib 205(2):135–150

    Article  Google Scholar 

  17. Song XG, Song TX, Xue DX, Li BZ (1991) Progressive torsional-axial continued vibrations in crankshaft systems: a phenomenon of coupled vibration. Trans ASME Rotat Mach Veh Dyn 319–323

    Google Scholar 

  18. Paz M, Leigh W (2003) Structural dynamics. Springer, New York

    Google Scholar 

  19. Asghar Bhatti M (2005) Fundamental finite element analysis and applications. Wiley, Hoboken

    Google Scholar 

  20. Reymond MA (1991) MSC/NASTRAN: user’s manual. The McNeal-Schwendler Corp, Los Angeles

    Google Scholar 

  21. Mourelatos Z (2000) An efficient crankshaft dynamic analysis using substructuring with Ritz vectors. J Sound Vib 238(3):495–527

    Article  Google Scholar 

  22. Balmes E (1993) High modal density, curve veering, localization: a different perspective on the structural response. J Sound Vib 161(2):358–363

    Article  Google Scholar 

  23. du Bois J, Lieven EJ, Adhikari S (2009) Localisation and curve veering: a different perspective on modal interactions. In: Proceedings of 27th IMAC, Orlando

    Google Scholar 

  24. Pierre C (1988) Mode localization and eigenvalue loci veering phenomena in disordered structures. J Sound Vib 126(3):485–502

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Elvio Bonisoli .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 The Society for Experimental Mechanics, Inc.

About this paper

Cite this paper

Bonisoli, E., Marcuccio, G., Rosso, C. (2013). Crossing and Veering Phenomena in Crank Mechanism Dynamics. In: Simmermacher, T., Cogan, S., Moaveni, B., Papadimitriou, C. (eds) Topics in Model Validation and Uncertainty Quantification, Volume 5. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6564-5_18

Download citation

  • DOI: https://doi.org/10.1007/978-1-4614-6564-5_18

  • Published:

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-6563-8

  • Online ISBN: 978-1-4614-6564-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics