Skip to main content
SpringerLink
Log in

Experimental verification of dynamic behavior for multi-link press mechanism with 2D revolute joint considering dry friction clearances and lubricated clearances

  • Original Paper
  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

The existence of clearance joints seriously affect the kinematic accuracy and service life of precision mechanisms. So as to ensure the kinematic accuracy reliability of mechanism, it is imperative to accurately predict the dynamic behavior of precision mechanism considering clearances. At present, the studies often focus on theoretical analysis and simulation verification of mechanism with clearances, while the studies verified by experiment are relatively few and often focus on simple mechanism. Moreover, most of studies centered on simple mechanism with dry friction clearance, while the studies on complex mechanism with multiple lubricated clearances are less. In this paper, the impact of multiple clearances on dynamic behavior of 2-DOF 9-bar precision press mechanism is analyzed. Firstly, the mathematical models of dry friction clearance and lubricated clearance are established and embedded into the Lagrange dynamic equation, respectively. Then, the impact of clearance values, the material of clearance-shaft and crank driving speeds on dynamic behavior of mechanism are researched. Finally, the simplified experimental platform of 2-DOF 9-bar press mechanism considering 2D revolute joint clearances is established, and the correctness of the theoretical model is proved by experimental verification. This study not only offers theoretical guidance for the layout and life prediction of multi-link press mechanism, but also provides reference for the dynamic behavior analysis and prediction of other mechanisms.

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
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22
Fig. 23
Fig. 24
Fig. 25
Fig. 26
Fig. 27
Fig. 28
Fig. 29
Fig. 30
Fig. 31
Fig. 32
Fig. 33
Fig. 34
Fig. 35

Similar content being viewed by others

References

  1. Li, X., Ding, X., Chirikjian, G.S.: Analysis of angular-error uncertainty in planar multiple-loop structures with joint clearances[J]. Mech. Mach. Theory 91, 69–85 (2015)

    Article  Google Scholar 

  2. Erkaya, S.: Effects of joint clearance on the motion accuracy of robotic manipulators[J]. J. Mech. Eng. 64(2), 82–94 (2018)

    Google Scholar 

  3. Erkaya, S., Doğan, S., Şefkatlıoğlu, E.: Analysis of the joint clearance effects on a compliant spatial mechanism[J]. Mech. Mach. Theory 104, 255–273 (2016)

    Article  Google Scholar 

  4. Pei, J., Han, X., Tao, Y., et al.: Lubrication reliability analysis of spur gear systems based on random dynamics[J]. Tribol. Int. 153, 106606 (2020)

    Article  Google Scholar 

  5. Raymand, G.A., Amalraj, I.J.: Inertia effects in rheodynamic lubrication of an externally pressurized converging thrust bearing using Herschel-Bulkley fluids[J]. J. Appl. Fluid Mech. 13(4), 1245–1252 (2020)

    Google Scholar 

  6. Fang, C., Meng, X., Lu, Z., et al.: Modeling a lubricated full-floating pin bearing in planar multibody systems[J]. Tribol. Int. 131, 222–237 (2019)

    Article  Google Scholar 

  7. Reis, V.L., Daniel, G.B., Cavalca, K.L.: Dynamic analysis of a lubricated planar slider-crank mechanism considering friction and Hertz contact effects[J]. Mech. Mach. Theory 74, 257–273 (2014)

    Article  Google Scholar 

  8. Abdallah, M.B., Khemili, I., Aifaoui, N.: Numerical investigation of a flexible slider-crank mechanism with multijoints with clearance[J]. Multibody Sys.Dyn. 38(2), 173–199 (2016)

    Article  Google Scholar 

  9. Miao, H., Li, B., Liu, J., et al.: Effects of revolute clearance joint on the dynamic behavior of a planar space arm system[J]. Proc. Inst. Mech. Eng. 233(5), 1629–1644 (2019)

    Article  Google Scholar 

  10. Marques, F., Isaac, F., Dourado, N., et al.: A Study on the dynamics of spatial mechanisms with frictional spherical clearance joints[J]. J. Comput. Nonlinear Dyn. 12(5), 051013 (2017)

    Article  Google Scholar 

  11. Chen, X., Wang, T., Jiang, S.: Study on dynamic behavior of planar multibody system with multiple lubrication clearance joints[J]. Eur. J. Mech. A/Solids (2022). https://doi.org/10.1016/j.euromechsol.2021.104404

    Article  MathSciNet  MATH  Google Scholar 

  12. Geng, X., Wang, X., Wang, L., et al.: Non-probabilistic time-dependent kinematic reliability assessment for function generation mechanisms with joint clearances[J]. Mech. Mach. Theory 104, 202–221 (2016)

    Article  Google Scholar 

  13. Jiang, S., Chen, X.: Reducing undesirable effects of clearances on dynamic and wear of planar multi-link mechanism[J]. Nonlinear Dyn. 100(2), 1173–1201 (2020)

    Article  Google Scholar 

  14. Brogliato, B.: Feedback control of multibody systems with joint clearance and dynamic backlash: a tutorial[J]. Multibody Sys.Dyn. 42(3), 283–315 (2017)

    Article  MathSciNet  MATH  Google Scholar 

  15. Pandey, M.D., Zhang, X.: System reliability analysis of the robotic manipulator with random joint clearances[J]. Mech. Mach. Theory 58, 137–152 (2012)

    Article  Google Scholar 

  16. Xiang, W., Yan, S., Wu, J.: Dynamic analysis of planar mechanical systems considering stick-slip and Stribeck effect in revolute clearance joints[J]. Nonlinear Dyn. 95(1), 321–341 (2019)

    Article  Google Scholar 

  17. Singh, A., Sharma, S.C.: Analysis of a double layer porous hybrid journal bearing considering the combined influence of wear and non-Newtonian behaviour of lubricant[J]. Meccanica 56(1), 73–98 (2021)

    Article  MathSciNet  Google Scholar 

  18. Bai, Z., Zhao, J.: A study on dynamic characteristics of satellite antenna system considering 3D revolute clearance joint[J]. Int. J. Aerosp. Eng. 2020, 8846177 (2020)

    Google Scholar 

  19. Erkaya, S., Uzmay, I.: Experimental investigation of joint clearance effects on the dynamics of a slider-crank mechanism[J]. Multibody Sys.Dyn. 24(1), 81–102 (2010)

    Article  MATH  Google Scholar 

  20. Flores, P., Koshy, C.S., Lankarani, H.M., et al.: Numerical and experimental investigation on multibody systems with revolute clearance joints[J]. Nonlinear Dyn. 65(4), 383–398 (2011)

    Article  Google Scholar 

  21. Erkaya, S., Dogan, S., Ulus, S.: Effects of joint clearance on the dynamics of a partly compliant mechanism: numerical and experimental studies[J]. Mech. Mach. Theory 88, 125–140 (2015)

    Article  Google Scholar 

  22. Akhadkar, N., Acary, V., Brogliato, B.: Multibody systems with 3D revolute joints with clearances: an industrial case study with an experimental validation[J]. Multibody Sys.Dyn. 42(3), 249–282 (2018)

    Article  MATH  Google Scholar 

  23. Qian, M., Qin, Z., Yan, S., et al.: A comprehensive method for the contact detection of a translational clearance joint and dynamic response after its application in a crank-slider mechanism[J]. Mech. Mach. Theory 145, 103717 (2020)

    Article  Google Scholar 

  24. Cavalieri, F.J., Cardona, A.: Non-smooth model of a frictionless and dry three-dimensional revolute joint with clearance for multibody system dynamics[J]. Mech. Mach. Theory 121, 335–354 (2018)

    Article  Google Scholar 

  25. Wu, X., Sun, Y., Wang, Y., et al.: Dynamic analysis of the double crank mechanism with a 3D translational clearance joint employing a variable stiffness contact force model[J]. Nonlinear Dyn. 99(3), 1937–1958 (2020)

    Article  Google Scholar 

  26. Tan, X., Chen, G., Shao, H.: Modeling and analysis of spatial flexible mechanical systems with a spherical clearance joint based on the luGre friction model[J]. J. Comput. Nonlinear Dyn. 15(1), 011005 (2019)

    Article  Google Scholar 

  27. Ahmedalbashir, M., Romdhane, L., Lee, J.: Dynamics of a four-bar mechanism with clearance and Springs-Modeling and experimental analysis[J]. J. Mech. Sci. Technol. 31(3), 1023–1033 (2017)

    Article  Google Scholar 

  28. Wang, G., Qi, Z., Jing, W.: A differential approach for modeling revolute clearance joints in planar rigid multibody systems[J]. Multibody Sys.Dyn. 39(4), 311–335 (2017)

    Article  MathSciNet  MATH  Google Scholar 

  29. Guo, J., Randall, R.B., Borghesani, P., et al.: A study on the effects of piston secondary motion in conjunction with clearance joints[J]. Mech. Mach. Theory 149, 103824 (2020)

    Article  Google Scholar 

  30. Amiri, A., Dardel, M., Daniali, H.M.: Effects of passive vibration absorbers on the mechanisms having clearance joints[J]. Multibody Sys.Dyn. 47(4), 363–395 (2019)

    Article  MathSciNet  MATH  Google Scholar 

  31. Ordiz, M., Cuadrado, J., Cabello, M., et al.: Prediction of fatigue life in multibody systems considering the increase of dynamic loads due to wear in clearances[J]. Mech. Mach. Theory 160(5), 104293 (2021)

    Article  Google Scholar 

  32. Farahan, S.B., Ghazavi, M.R., Rahmanian, S.: Bifurcation in a planar four-bar mechanism with revolute clearance joint[J]. Nonlinear Dyn. 87(2), 955–973 (2017)

    Article  Google Scholar 

  33. Zheng, X., Zhang, R., Wang, Q.: Comparison and analysis of two Coulomb friction models on the dynamic behavior of slider-crank mechanism with a revolute clearance joint[J]. Appl. Math. Mech. 39(9), 1239–1258 (2018)

    Article  MathSciNet  Google Scholar 

  34. Li, J., Huang, H., Yan, S., et al.: Kinematic accuracy and dynamic performance of a simple planar space deployable mechanism with joint clearance considering parameter uncertainty[J]. Acta Astronaut. 136, 34–45 (2017)

    Article  Google Scholar 

  35. Zheng, X., Fei, Z., Qi, W.: Modeling and simulation of planar multibody systems with revolute clearance joints considering stiction based on an LCP method[J]. Mech. Mach. Theory 130, 184–202 (2018)

    Article  Google Scholar 

  36. Soong, K., Thompson, B.S.: A theoretical and experimental investigation of the dynamic respose of a slide-crank machanism with radial clearance of the gudgeon-pin joint[J]. J. Mech. Des. 112(2), 183–189 (1990)

    Article  Google Scholar 

  37. Flores, P., Ambrósio, J., Claro, J., et al.: Lubricated revolute joints in rigid multibody systems[J]. Nonlinear Dyn. 56(3), 277–295 (2009)

    Article  MATH  Google Scholar 

Download references

Acknowledgments

This research is supported by Shandong key research and development public welfare program (2019GGX104011), Natural Science Foundation of Shandong Province (GrantNo.ZR2017MEE066).

Author information

Authors and Affiliations

  1. College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao, 266590, China

    Xiulong Chen, Shun Gao & Tao Wang

Authors
  1. Xiulong Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Shun Gao
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Tao Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xiulong Chen.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Ethical approval

This manuscript has not been published, simultaneously submitted or already accepted for publication elsewhere. All authors have read and approved the manuscript. There is no conflict of interest related to individual authors’ commitments and any project support. All acknowledged persons have read and given permission to be named. Xiulong CHEN has nothing to disclose.

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

Chen, X., Gao, S. & Wang, T. Experimental verification of dynamic behavior for multi-link press mechanism with 2D revolute joint considering dry friction clearances and lubricated clearances. Nonlinear Dyn 109, 707–729 (2022). https://doi.org/10.1007/s11071-022-07478-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-022-07478-4

Keywords

Search

Navigation