Skip to main content
SpringerLink
Log in

A modified transfer matrix method for bending vibration of CFRP/Steel composite transmission shafting

  • Original
  • Published:
Archive of Applied Mechanics Aims and scope Submit manuscript

Abstract

The bending vibration of transmission shafting directly influences dynamic performance of mechanical systems. The adoption of carbon fiber-reinforced plastics (CFRP) hollow shaft in the long-span transmission shafting can effectively reduce bending vibration. This paper aims to modify the transfer matrix method (TMM) for the CFRP/Steel composite transmission shafting system based on lamination theory and layer-wise beam theory. The dynamic kinetic equations of the steel and CFRP segments of the composite transmission shafting were modeled; then the bending vibration was solved by combining the boundary conditions of the CFRP/Steel composite transmission shafting. The experimental tests have been carried out in the CFRP/Steel composite transmission shafting to obtain the critical speed of rotation. Moreover, the results of modified TMM were compared with experimental tests, finite element method, and simply supported beam model. The comparison results show that the modified TMM proposed in this paper can effectively calculate the bending vibration characteristics of the CFRP/Steel composite transmission shafting system.

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

Access this article

Log in via an institution

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

Similar content being viewed by others

References

  1. Mutasher, S.A.: Prediction of the torsional strength of the hybrid aluminum/composite drive shaft. Mater. Des. 30(2), 215–220 (2009)

    Article  Google Scholar 

  2. Karthikeyan, P., Gobinath, R., Ajith Kumar, L., Xavier Jenish, D.: Design and analysis of drive shaft using kevlar/epoxy and glass/epoxy as a composite material. IOP Conf. Ser. Mater. Sci. Eng. 197, 012048 (2017)

    Article  Google Scholar 

  3. Quaresimin, M., Carraro, P.A.: Damage initiation and evolution in glass/epoxy tubes subjected to combined tension–torsion fatigue loading. Int. J. Fatigue 63, 25–35 (2014)

    Article  Google Scholar 

  4. Badie, M.A., Mahdi, E., Hamouda, A.M.S.: An investigation into hybrid carbon/glass fiber reinforced epoxy composite automotive drive shaft. Mater. Des. 32(3), 1485–1500 (2011)

    Article  Google Scholar 

  5. Talib, A.R.A., et al.: Developing a hybrid, carbon/glass fiber-reinforced, epoxy composite automotive drive shaft. Mater. Des. 31(1), 514–521 (2010)

    Article  Google Scholar 

  6. Arab, S.B., Rodrigues, J.D., Bouaziz, S., Haddar, M.: Stability analysis of internally damped rotating composite shafts using a finite element formulation. Comptes Rendus Mec. 346, 291–307 (2018)

    Article  Google Scholar 

  7. Arab, S.B., Rodrigues, J.D., Bouaziz, S., Haddar, M.: Dynamic analysis of laminated rotors using a layerwise theory. Compos. Struct. 182, 335–345 (2017)

    Article  Google Scholar 

  8. Ren, Y., Yuyan, S., Yuhuan, Z.: Effects of internal damping on dynamic stability of a rotating composite shaft. J. Vib. Shock 36.23, 181–220 (2017)

    Google Scholar 

  9. Christoph, R., Bakis, C.E.: Multi-physics design and optimization of flexible matrix composite driveshafts. Compos. Struct. 93.9, 2231–2240 (2011)

    Google Scholar 

  10. Chang, M.Y., Chen, J., Chang, C.: A simple spinning laminated composite shaft model. Int. J. Solids Struct. 41.3, 637–662 (2004)

    Article  Google Scholar 

  11. Qatu, M.S., Iqbal, J.: Transverse vibration of a two-segment cross-ply composite shafts with a lumped mass. Compos. Struct. 92.5, 1126–1131 (2010)

    Article  Google Scholar 

  12. Wu, J.S., Yang, I.H.: Computer method for torsion-and-flexure-coupled forced vibration of shafting system with damping. J. Sound Vib. 180(3), 417–435 (1995)

    Article  Google Scholar 

  13. Mo, Y., et al.: Dynamic analysis and vibration testing of CFRP drive-line system used in heavy-duty machine tool. Results Phys. 8, 1110–1118 (2018)

    Article  Google Scholar 

  14. Moorthy, R.S.: Design of automobile driveshaft using carbon/epoxy and, kevlar/epoxy composites. Am. J. Eng. Res. 2.10, 173–179 (2013)

    Google Scholar 

  15. Ding, G., Xie, C., Zhang, J., Zhang, G., Song, C., Zhou, Z.: Modal analysis based on finite element method and experimental validation on carbon fibre composite drive shaft considering steel joints. Mater. Res. Innov. 19(5), 748–753 (2015)

    Google Scholar 

Download references

Acknowledgements

This research was supported by the Ph.D. Research Fund of Hubei University of Arts and Science (No. 2059065).

Author information

Authors and Affiliations

  1. School of Mechanical Engineering, Hubei University of Arts and Science, Xiangyang, 441053, China

    Mo Yang, Xian Zhou, Wen Zhang & Jianmin Ye

  2. School of Mechanical and Electronic Engineering, Wuhan University of Technology, Wuhan, 430070, China

    Yefa Hu

Authors
  1. Mo Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xian Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Wen Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Jianmin Ye
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Yefa Hu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Mo Yang.

Ethics declarations

Conflict of interest

The authors declare that the funding did not lead to any conflict of interests regarding the publication of this manuscript. And there is no conflict of interest regarding the publication of this paper.

Data availability

The data used to support the findings of this study are included within the article.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yang, M., Zhou, X., Zhang, W. et al. A modified transfer matrix method for bending vibration of CFRP/Steel composite transmission shafting. Arch Appl Mech 90, 603–614 (2020). https://doi.org/10.1007/s00419-019-01628-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00419-019-01628-8

Keywords

Search

Navigation