Skip to main content
SpringerLink
Log in

Model Validation of Rigid Body Tilting of Deformed Spinning Discs with Spline-Guided Constraints

  • Research paper
  • Published:
Experimental Techniques Aims and scope Submit manuscript

Abstract

This paper analyzes the rigid body tilting of the spinning disc with a spline-guided boundary condition. Firstly, a comprehensive dynamic model of the flat disc is built to illustrate the general forces during rigid body tilting. On this basis, the tilting model of deformed discs is derived by introducing the shape function. Also, the model accounts for friction at the spline interface, constraints on the tilting angle, and the impact force experienced with the boundary during the tilting motion. A test rig is designed to evaluate the accuracy of the model, and the similarity between experimental and simulated signals is compared in both the time domain and frequency domain. The results show that the rotational speed increases the spectral amplitude associated with boundary impact, whereas disc deformation contributes to variations in the frequency bands of spectral peaks, resulting in the emergence of spectral peaks at higher frequencies.

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
Fig. 12
Fig. 13

Similar content being viewed by others

References

  1. Yu L, Ma B, Chen M, Li H, Zhang H, Liu J (2019) Thermodynamic Differences of Different Friction Pairs in a Multidisc Clutch Caused by Spline Friction: Numerical Simulation and Experimental Verification. Tribology Transactions 62(4):724–736. https://doi.org/10.1080/10402004.2019.1610533

    Article  CAS  Google Scholar 

  2. Cenbo X, Biao M, Heyan L, Fenglian Z, Da W (2015) Experimental study and thermal analysis on the buckling of friction components in multi-disc clutch. Journal of Thermal Stresses 38(11):1325–1345. https://doi.org/10.1080/01495739.2015.1073524

    Article  Google Scholar 

  3. Zhao EH, Ma B, Li HY (2018) The Tribological Characteristics of Cu-Based Friction Pairs in a Wet Multidisk Clutch under Nonuniform Contact. Journal of Tribology 140(1):1–9. https://doi.org/10.1115/1.4036720

    Article  CAS  Google Scholar 

  4. Xue J, Ma B, Chen M, Zhang Q, Zheng L (2021) Experimental Investigation and Fault Diagnosis for Buckled Wet Clutch Based on Multi-Speed Hilbert Spectrum Entropy. Entropy 23(12):1–17. https://doi.org/10.3390/e23121704

    Article  Google Scholar 

  5. Dibaj, A., Hassannejad, R., Ettefagh, M.M., Ehghaghi, M.B.: Incipient fault diagnosis of bearings based on parameter-optimized VMD and envelope spectrum weighted kurtosis index with a new sensitivity assessment threshold. ISA Transactions 114 (2021). DOI: https://doi.org/10.1016/j.isatra.2020.12.041

  6. Hou S, Hu J, Peng Z (2017) Experimental investigation on unstable vibration characteristics of plates and drag torque in open multiplate wet clutch at high circumferential speed. Journal of Fluids Engineering, Transactions of the ASME 139(11):1–11. https://doi.org/10.1115/1.4037055

    Article  CAS  Google Scholar 

  7. Hu, J., Hou, S., Wei, C.: Drag torque modeling at high circumferential speed in open wet clutches considering plate wobble and mechanical contact. Tribology International 124(November 2017), 102–116 (2018). https://doi.org/10.1016/j.triboint.2018.03.029

  8. Xue J, Ma B, Chen M, Yu L (2022) On the Effects of Disc Deformation on the Tilting-Induced Vibration of a Spline-Guided Spinning Disc with an Axial-Fixed Boundary. Applied Sciences (Switzerland). https://doi.org/10.3390/app12073637

    Article  Google Scholar 

  9. Bauer HF, Eidel W (2007) Transverse vibration and stability of spinning circular plates of constant thickness and different boundary conditions. Journal of Sound and Vibration 300(3–5):877–895. https://doi.org/10.1016/j.jsv.2006.09.001

    Article  Google Scholar 

  10. Zhou ZH, Wong KW, Xu XS, Leung AYT (2011) Natural vibration of circular and annular thin plates by Hamiltonian approach. Journal of Sound and Vibration 330(5):1005–1017. https://doi.org/10.1016/j.jsv.2010.09.015

    Article  Google Scholar 

  11. Miyasato HH, Segala Simionatto VG, Junior MD (2021) On the interaction between rigid discs and rotating damped contact elements. Mechanics Research Communications 111:103644. https://doi.org/10.1016/j.mechrescom.2020.103644

    Article  Google Scholar 

  12. Pei YC, Tan QC, Zheng FS, Zhang YQ (2010) Dynamic stability of rotating flexible disk perturbed by the reciprocating angular movement of suspensionslider system. Journal of Sound and Vibration 329(26):5520–5531. https://doi.org/10.1016/j.jsv.2010.07.020

    Article  Google Scholar 

  13. Chen, J. S., Bogy, D.B.: Natural Frequencies and Stability of a Flexible Spinning Disk- Stationary Load System With rigid-body tilting. Journal of Applied Mechanics 60(June 1993), 470 (1993). https://doi.org/10.1115/1.2900817

  14. Fidlin A, Drozdetskaya O, Waltersberger B (2011) On the minimal model for the low frequency wobbling instability of friction discs. European Journal of Mechanics / A Solids 30(5):665–672. https://doi.org/10.1016/j.euromechsol.2011.03.009

    Article  Google Scholar 

  15. Carpino M (1991) The effect of initial curvature in a flexible disk rotating near a flat plate. Journal of Tribology 113(2):355–360. https://doi.org/10.1115/1.2920629

    Article  Google Scholar 

  16. Khorasany RMH, Hutton SG (2011) On the effects of a general form of the initial runout on the oscillation frequencies and critical speeds of a spinning disk. Journal of Sound and Vibration 330(26):6435–6455. https://doi.org/10.1016/j.jsv.2011.08.009

  17. Olver AV (2002) Regimes of Contact in Spline Couplings. Journal of Tribology 124(April):1–7. https://doi.org/10.1115/1.1403456

    Article  Google Scholar 

  18. Khorasany RMH, Hutton SG (2012) Large displacement analysis of elastically constrained rotating disks with rigid body degrees of freedom. International Journal of Mechanical Sciences 54:1–11. https://doi.org/10.1016/j.ijmecsci.2011.04.004

    Article  Google Scholar 

  19. Mohammadpanah, A., Hutton, S.G.: Theoretical and Experimental Verification of Dynamic Behaviour of a Guided Spline Arbor Circular Saw. Shock & Vibration 2017 (2017). DOI: https://doi.org/10.1155/2018/9689316

  20. Zhang, L., Wei, C., Hu, J., Hu, Q.: Influences of lubrication flow rates on critical speed of rub-impact at high circumferential velocities in No-Load multi-plate wet clutch. Tribology International 140(March) (2019). https://doi.org/10.1016/j.triboint.2019.105847

  21. Safaeifar H, Farshidianfar A (2020) A new model of the contact force for the collision between two solid bodies. Multibody System Dynamics 50(3):233–257. https://doi.org/10.1007/s11044-020-09732-2

    Article  Google Scholar 

  22. Zhang, J., Li, W., Zhao, L., He, G.: A continuous contact force model for impact analysis in multibody dynamics. Mechanism and Machine Theory 153 (2020). DOI: https://doi.org/10.1016/j.mechmachtheory.2020.103946

  23. Schaub H, Junkins JL, S.J.A.: Analytical Mechanics of Space Systems, 2nd editio edn. (2009)

  24. Yang, L.: Disks At Supercritical Speeds Vibrations and Stability of Constrained Rotating Strings and. PhD thesis, University of British Columbia (1995)

  25. Ventsel E, Krauthammer T, Eduard Ventsel TK (2002) Thin Plates and Shells. Applied Mechanics Reviews. https://doi.org/10.1201/9780203908723

    Article  Google Scholar 

  26. Lamacchia E, Pirrera A, Chenchiah IV, Weaver PM (2014) Non-axisymmetric bending of thin annular plates due to circumferentially distributed moments. International Journal of Solids and Structures 51(3–4):622–632

    Article  Google Scholar 

  27. Zheng, L., Ma, B., Chen, M., Yu, L., Wang, Q.: Influence of the lubrication oil temperature on the disengaging dynamic characteristics of a cu-based wet multi-disc clutch. Applied Sciences (Switzerland) 11(23) (2021). https://doi.org/10.3390/app112311299

  28. Bai, L., Han, Z., Ren, J., Qin, X.: Research on feature selection for rotating machinery based on Supervision Kernel Entropy Component Analysis with Whale Optimization Algorithm. Applied Soft Computing Journal 92 (2020). DOI: https://doi.org/10.1016/j.asoc.2020.106245

  29. Padma S, Sanjeevi S (2014) Jeffries Matusita based mixed-measure for improved spectralmatching in hyperspectral image analysis. International Journal of Applied Earth Observation and Geoinformation 32(1):138–151. https://doi.org/10.1016/j.jag.2014.04.001

    Article  Google Scholar 

Download references

Acknowledgements

This research was funded by the National Natural Science Foundation of China (Grant No. 52205047, No. 52175037, and No. 51805289) and China Postdoctoral Science Foundations (Grant No. BX20220379 and No. 2021M700422).

Author information

Authors and Affiliations

  1. School of Mechanical Engineering, Beijing Institute of Technology, Beijing, 10010, Beijing, China

    J. Xue, B. Ma, M. Chen & L. Yu

  2. Key Laboratory of Science and Technology for National Defense, Beijing Institute of Technology, Beijing, 10010, Beijing, China

    B. Ma & M. Chen

  3. Automotive Research Institute, China National Heavy-Duty Truck Group, Jinan, 250010, Shandong, China

    L. Zheng

Authors
  1. J. Xue
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. Ma
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. L. Yu
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. L. Zheng
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Chen.

Ethics declarations

Conflicts of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

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

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Xue, J., Ma, B., Chen, M. et al. Model Validation of Rigid Body Tilting of Deformed Spinning Discs with Spline-Guided Constraints. Exp Tech (2023). https://doi.org/10.1007/s40799-023-00657-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40799-023-00657-x

Keywords

Search

Navigation