Skip to main content
Springer Nature Link
Log in

Finite element analysis of V-ribbed belt/pulley system with pulley misalignment using a neural-network-based material model

  • Original Article
  • Published:
Neural Computing and Applications Aims and scope Submit manuscript

Abstract

Pulley misalignment limits the performance of V-ribbed belt/pulley system as it relates to rib load-sharing and contact pressure distribution for multiple rib belts required in high torque demands of modern automotive applications. In this paper, a three-dimensional dynamic finite element model is built to evaluate the effects of pulley misalignment. The model consists of a pulley and a segment of V-ribbed belt in contact with the pulley. A material model of belt, including rubber compound and reinforcing cord is developed. Multiple rubber layers are each considered hyperelastic with distinct material characterization parameters. A novel neural-network-based hyperelastic material model is implemented to represent properties of nonlinear elastic belt-rib compound. The models are implemented in the commercial code ABAQUS/Explicit to simulate the misalignment of the belt–pulley system. The developed model is first validated by experimental measurements of pulley lateral force due to misalignment. Also, three common types of misalignment in the belt–pulley system are analyzed and results are presented.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

Abbreviations

U :

Strain energy potential

λ :

Principal extension ratio

I :

Strain invariant

J :

Volume ratio

μ :

Friction coefficient

F ξ , F η :

Friction force components

P :

Normal force

RF :

Reaction force

References

  1. Lawrence T, Wilson F (1995) Verified predictive design of poly-V[TM] belts using ABAQUS/Explicit, Presented at the 10th UK ABAQUS User Group Meeting, TWI, Arlington, Cambridge, UK, September 21

  2. Sloan CS, Chandrashekhara K, Breig WF, Oliver LR (1999) Simulation of V-ribbed belt tracking. SAE international congress and exposition, Paper No. 01-0642, Detroit, MI, March 1–4, pp 1–12

  3. Yu D, Childs T, Dalgarno K (1998) Experimental and finite element studies of the running of V-ribbed belts in pulley grooves. Proc Inst Mech Eng 212:343–354

    Google Scholar 

  4. Read BE, Dean GD (2001) Modelling non-linear stress–strain behaviour of rubber toughened plastics. Plastics Rubber Compos 30:328–336. doi:10.1179/146580101322913428

    Article  Google Scholar 

  5. Ryan KL, Kelly JM, Chopra AK (2005) Nonlinear model for lead–rubber bearings including axial-load effects. J Eng Mech 131:1270–1278. doi:10.1061/(ASCE)0733-9399(2005)131:12(1270)

    Article  Google Scholar 

  6. Connell J, Rorrer L (1992) Friction-induced vibration in V-ribbed belt applications. ASME DE Friction-Induced Vibration Chatter Squeal Chaos 49:75–85

    Google Scholar 

  7. Meckstroth R, Ahoor R (1990) Belt tracking experiments, SAE Pulley Committee Meeting

  8. Dalgarno K, Childs T, Day A, Hojjati M, Moore R, Yu D (1997) Mechanical properties of elastomer compounds in synchronous and V-ribbed Belts. Kautschuk Gummi Kunstoffe 50:299–303

    Google Scholar 

  9. Hwang S, Perkins N, Ulsoy A, Meckstroth R (1994) Rotational response and slip prediction of serpentine belt drive systems. ASME J Vibration Acoust 116:71–78. doi:10.1115/1.2930400

    Article  Google Scholar 

  10. Sheng G, Liu K, Otremba J, Pang J, Mohamad Q, Dukkipati R (2004) A model and experimental investigation of belt noise in automotive accessory belt drive system. Int J Vehicle Noise Vibration 1:68–82. doi:10.1504/IJVNV.2004.004068

    Article  Google Scholar 

  11. Hansson H (1989) Mechanics of V-ribbed belt drives. Licentiate Thesis, Chalmers University of Technology, Gothenburg, Sweden, Report No. 1989-09-27

  12. Shen Y, Chandrashekhara K, Breig WF, Klein DL, Oliver LR (2004) Neural Network based Constitutive Model for Rubber Material. Rubber Chem Tech. 77:257–277

    Google Scholar 

  13. Shen Y, Chandrashekhara K, Breig WF, Oliver LR (2005) Finite element analysis of V-ribbed belts using neural network based hyperelastic model. Int J Non-linear Mech 40:875–890. doi:10.1016/j.ijnonlinmec.2004.10.005

    Article  MATH  Google Scholar 

  14. Song G, Chandrashekhara K, Breig WF, Klein DL, Oliver LR (2005) J-integral analysis of cord-rubber serpentine belt using neural network based material modeling. Fatigue Fract Eng Mater Struct 28:847–860. doi:10.1111/j.1460-2695.2005.00917.x

    Article  Google Scholar 

  15. Song G, Chandrashekhara K, Breig WF, Klein DL, Oliver LR (2005) Analysis of cord-reinforced poly-rib serpentine drive with thermal effect. ASME J Mech Des 127:1198–1206. doi:10.1115/1.2049088

    Article  Google Scholar 

  16. Ogden RW (1982) Non-linear elastic deformations, John Wiley & Sons, New York

  17. Theory Manual ABAQUS Hibbitt (2005) Karlsson & Sorensen, Inc

  18. Xu M, Castle JB, Shen Y, Chandrashekhara K, Breig WF, Oliver LR (2001) Finite element simulation and experimental validation of V-ribbed belt tracking. SAE 2001 World Congress, Paper No. 2001-01-0661

Download references

Acknowledgment

The funding of this project is provided by Mark IV Automotive.

Author information

Authors and Affiliations

  1. Department of Mechanical and Aerospace Engineering, Missouri University of Science and Technology, Rolla, MO, 65409, USA

    J. Hu, J. Chen, S. Sundararaman & K. Chandrashekhara

Authors
  1. J. Hu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. Sundararaman
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. K. Chandrashekhara
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to K. Chandrashekhara.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hu, J., Chen, J., Sundararaman, S. et al. Finite element analysis of V-ribbed belt/pulley system with pulley misalignment using a neural-network-based material model. Neural Comput & Applic 18, 927–938 (2009). https://doi.org/10.1007/s00521-009-0257-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-009-0257-z

Keywords