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

  • Mo YangEmail author
  • Xian Zhou
  • Wen Zhang
  • Jianmin Ye
  • Yefa Hu
Original

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.

Keywords

CFRP/Steel composite transmission shafting Modified transfer matrix method Bending critical rotating speed Vibration test 

Notes

Acknowledgements

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

Compliance with ethical standards

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.

References

  1. 1.
    Mutasher, S.A.: Prediction of the torsional strength of the hybrid aluminum/composite drive shaft. Mater. Des. 30(2), 215–220 (2009)CrossRefGoogle Scholar
  2. 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)CrossRefGoogle Scholar
  3. 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)CrossRefGoogle Scholar
  4. 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)CrossRefGoogle Scholar
  5. 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)CrossRefGoogle Scholar
  6. 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)CrossRefGoogle Scholar
  7. 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) CrossRefGoogle Scholar
  8. 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. 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. 10.
    Chang, M.Y., Chen, J., Chang, C.: A simple spinning laminated composite shaft model. Int. J. Solids Struct. 41.3, 637–662 (2004)CrossRefGoogle Scholar
  11. 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)CrossRefGoogle Scholar
  12. 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)CrossRefGoogle Scholar
  13. 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)CrossRefGoogle Scholar
  14. 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. 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

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of Mechanical EngineeringHubei University of Arts and ScienceXiangyangChina
  2. 2.School of Mechanical and Electronic EngineeringWuhan University of TechnologyWuhanChina

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