Skip to main content
SpringerLink
Log in

Analysis of nonlinear dynamics characteristics of a kind of hinged connection structures

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

Abstract

The hinged connections are widely used in agricultural machinery, such as the three-point hitch device at the rear of the tractor and the header position adjustment device of the corn harvester. The hinged connections in agricultural machinery allow relative rotations between the connected parts so that the positions of the agricultural equipment can be adjusted according to the operation requirements. Thus, the hinged connections are always subject to large and complex forces during operation, leading to complicated nonlinear vibrations, which significantly impact the operational performance and fatigue life of the agricultural machinery. Therefore, the nonlinear dynamics characteristics of the hinged connections in agricultural machinery are studied in this paper. Firstly, the parts connected by the hinge are simplified to the hinged beam structures according to the mechanical structure characteristics and loading features of the hinged connection structures in agricultural machinery. Then, the equivalent dynamics model of the hinged beam structure is established based on the nonlinear contact force model at the hinged connection and the finite element method. Finally, the effects of parameters such as hinge clearances, excitation frequencies, excitation amplitudes and hinge contact stiffness on the nonlinear dynamics characteristics of the hinged beam structures are analyzed by solving the dynamics responses of the system using numerical simulations. The research results can provide a reference for the optimal design of the hinged connection structures.

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

Similar content being viewed by others

References

  1. Yang, Y., Luo, G.W., Zhao, Y.B.: Effects of differently located clearance on the dynamics responses of a two-degree-of-freedom vibration system. Shock Vib 1795675, 1–18 (2021)

    Google Scholar 

  2. Guo, J., Randall, R.B., Borghesani, P., Smith, W.A., Haneef, M.D., Peng, Z.: A study on the effects of piston secondary motion in conjunction with clearance joints. Mech Mach Theory 149, 103824 (2019)

    Google Scholar 

  3. Chen, Y., Feng, J., Peng, X., Sun, Y., He, Q., Yu, C.T.: An approach for dynamics analysis of planar multibody systems with revolute clearance joints. Eng Comput 37, 1–14 (2020)

    Google Scholar 

  4. Xu, Y., Wang, P.D., Sun, L.J., Zhu, D.F., Fang, Q.: Nonlinear dynamics modeling and numerical analysis of hinges with clearances. Aerosp Shanghai (Chin Engl) 37(01), 51–62 (2020)

    Google Scholar 

  5. Wang, X.P., Liu, Q., Ma, S.J., Tong, R.T.: Study on dynamics characteristics of spatially symmetric unfolding mechanism with clearance hinge. Mech Transm 43(08), 12–17 (2019)

    Google Scholar 

  6. Li, H.J., Zhang, H., Li, K.X., Xie, K.F.: Analysis of the dynamics of parallel stabilized platform on water surface considering hinge clearances. J Mil Eng 38(01), 129–134 (2017)

    Google Scholar 

  7. Bai, Z.F., Zhao, Y., Tian, H.: Simulation of solar sail unfolding dynamics with inter-hinged clearances. J Harbin Inst Technol 41(03), 11–14 (2009)

    Google Scholar 

  8. Deng, Y., Liu, F.Y., Yang, M.J., Wu, J.W., Gan, L.: Study on the effect of clearances on dynamics performance of hinged mechanism. Mech Transm 39(10), 27–30 (2015)

    Google Scholar 

  9. Wang, W., Sun, J., Yu, D.Y., Ma, X.R.: Analytical model study of a kind of clearance hinge with locking mechanism based on contact theory. J Astronaut 01, 1–4+12 (2004)

    Google Scholar 

  10. Ma, Z.S., Ding, Q., Zhai, Y.J.: Hybrid modeling of nonlinear-jointed structures via finite-element model reduction and deep learning techniques. J Vib Eng Technol 9, 575–585 (2021)

    Google Scholar 

  11. Chen, X.L., Jiang, S.Y.: Dynamic response and chaos in planar multi-link mechanism considering revolute clearances. Arch. Appl. Mech. 90, 1919–1941 (2020)

    Google Scholar 

  12. Yan, S.Z., Shen, Y.S., Chen, H.B.: Numerical simulation of dynamics of expandable structures considering rod flexibility and hinge clearances. J Tsinghua Univ (Nat Sci Ed) 02, 145–148 (2003)

    Google Scholar 

  13. Xu, Y., Wang, H.W., Sun, L.J., Zhu, D.F., Wang, P.D.: Dynamic response analysis of oversized unfolded truss antenna with three-dimensional nonlinear hinge. Space Struct 25(02), 46–54 (2019)

    Google Scholar 

  14. Yang, S.L., Liu, Z.Q., Pu, H.L., Yang, Q.L.: Dynamics analysis of space frame unfolding mechanism considering root hinge clearances. J Astronaut 39(08), 838–846 (2018)

    Google Scholar 

  15. Wang, T.S., Kong, X.R., Wang, B.L., Ma, X.R.: Analysis of spacecraft attachment unfolding process with inter-hinged clearances. J Harbin Inst Technol 03, 283–286 (2001)

    Google Scholar 

  16. Chen, L.M., Yan, S.Z., Jin, D.W., Wu, D.L.: Experimental dynamics of spatially expandable truss structures with clearance hinges. J Tsinghua Univ (Nat Sci Ed) 08, 1027–1030 (2003)

    Google Scholar 

  17. Huang, T.Q., Wu, D.L., Yan, S.Z., Zhang, Y.: Mechanical simulation study of extension mechanism with clearances. China Space Sci Technol 03, 18–24 (1999)

    Google Scholar 

  18. Xun, J., Yan, S.Z.: Experimental analysis of solar sail dynamics with clearances based on wavelet transform. J Tsinghua Univ (Nat Sci Ed) 11, 1844–1847 (2006)

    Google Scholar 

  19. Qin, Z., Qian, M.B., Gong, J.W., Li, X.B.: Analysis of nonlinear dynamics of the ejection-type transplanting mechanism with hinge clearances. Vib Shock 39(21), 186–194 (2020)

    Google Scholar 

  20. Gu, Y.X., Feng, B., Jiang, C.Y., Li, Q.Y., Wu, Y.J., Deng, K.: Study on the vibration characteristics of space robotic arm boom considering joint clearances. Mach Tools Hydraul 46(05), 1–5 (2018)

    Google Scholar 

  21. Wu, S., Zhao, S.G., Wu, D.F., Luo, M.: Identification of spacecraft nonlinear hinge parameters based on force state mapping method. J Harbin Eng Univ 36(12), 1578–1583 (2015)

    MATH  Google Scholar 

  22. Wang X, Chen P (2011) Planar four-bar mechanism including revolute joints with clearance. In: Proceedings of 2011 international conference on mechatronic science, electric engineering and computer, pp 19–22

  23. Hegazy, U.H.: Single-mode response and control of a hinged–hinged flexible beam. Arch Appl Mech 79(4), 335–345 (2009)

    MATH  Google Scholar 

  24. Flores, P.: A parametric study on the dynamic response of planar multibody systems with multiple clearance joints. Nonlinear Dyn. 61(4), 633–653 (2010)

    MATH  Google Scholar 

  25. Tzou, H.S.: Non-linear joint dynamics and controls of jointed flexible structures with active and viscoelastic joint actuators. J Sound Vib 143(3), 407–422 (1990)

    Google Scholar 

  26. Crawley, E.F., Aubert, A.C.: Identification of nonlinear structural elements by force-state mapping. AIAA J 24(1), 155–162 (2012)

    Google Scholar 

  27. Moon, F.C., Li, G.X.: Experimental study of chaotic vibrations in a pin-jointed space truss structure. AIAA J 28(5), 915–921 (2012)

    Google Scholar 

  28. Tinker, M.L.: Nonlinearities due to joint friction and clearance in a structural dynamic test fixture. Am Soc Mech Eng Des Eng Div 90, 35–46 (1996)

    Google Scholar 

  29. Yoshida, T.: Dynamic characteristic formulations for jointed space structures. J Spacecr Rocket 43(4), 771–779 (2006)

    Google Scholar 

  30. Haines, R.S.: An experimental investigation into the dynamic behaviour of revolute joints with varying degrees of clearance. Mech Mach Theory 20(3), 221–231 (1985)

    MathSciNet  Google Scholar 

  31. Bruno, F., Valda, R.: Models to predict the force to operate front foldable rollover protective structures for narrow-track tractors. Biosyst Eng 185(C), 126–134 (2019)

    Google Scholar 

  32. Sang-ik, L., Jong-hyuk, L., Young-joon, J., Won, C.: Development of a structural analysis model for pipe structures to reflect ground conditions. Biosyst. Eng. 197, 231–244 (2020)

    Google Scholar 

  33. Webster, M., Vande, W.: Modelling beam-like space trusses with nonlinear joints. Massachusetts Institute of Technology (2013)

    Google Scholar 

  34. Salahshoor, E., Saeed, E.: Frequency analysis of a typical planar flexible multibody system with joint clearances. Mech Mach Theory 126, 429–456 (2018)

    Google Scholar 

  35. Wang, W., Yu, D.Y., Ma, X.R.: Fundamental frequency characteristics of spacecraft hinged structures based on nonlinear modes. China Space Sci Technol 03, 19–27 (2005)

    Google Scholar 

  36. He, G.Q., Cao, D.Q., Chen, S., Huang, W.H.: Modeling and experimental study of global modal dynamics of flexural spacecraft solar wing. J Mech 53(08), 2312–2322 (2021)

    Google Scholar 

  37. Pyeon, B.D., Kim, J.H., Bae, J.S.: A study on frequency characteristics of structural hinge stiffness. J Vib Eng Technol 9, 247–255 (2020)

    Google Scholar 

  38. Zhang, J.M., Yao, H.P., Chen, L.Z., Zheng, E.L., Zhu, Y., Xue, J.L.: Vibration characteristics analysis and suspension parameter optimization of tractor/implement system with front axle suspension under ploughing operation condition. J. Terrramech. 102, 49–64 (2022)

    Google Scholar 

  39. Gu, L.C., Guo, L., Li, H.: Analysis of vibration characteristics of three-point suspension spade wheat planter frame. Jiangsu Agric Sci 45(01), 214–216 (2017)

    Google Scholar 

  40. Yuan, J.Q.: Structural finite element analysis of tractor three-point suspension device. Inner Mong Sci Technol Econ 17, 79–82 (2017)

    Google Scholar 

  41. Wang, X.P., Liu, G., Ma, S.J.: Dynamic analysis of planar mechanical systems with clearance joints using a new nonlinear contact force model. J Mech Sci Technol 30(4), 1537-1545.42 (2016)

    Google Scholar 

  42. Lankarani, H.M., Nikravesh, P.E.: A contact force model with hysteresis damping for impact analysis of multibody systems. J Mech Des 112(3), 369–376 (1990)

    Google Scholar 

  43. Liu, C.S., Zhang, K., Yang, R.: The FEM analysis and approximate model for cylindrical joints with clearances. Mech Mach Theory 42(2), 183–197 (2006)

    MATH  Google Scholar 

  44. Lake MS, Lee D (1996) A revolute joint with linear load -displacement response for precision deployable structures. In: The 37th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference and exhibit. USA, Salt Lake City, pp 1639–1647

  45. Shampine, L.F., Reichelt, M.W.: The MATLAB ODE suite. SIAM J Sci Comput 18(1), 1–22 (1997)

    MathSciNet  MATH  Google Scholar 

  46. Shi, Q.P., Zhao, X.Y., Si, B.Q., Zhang, H.Y.: Experimental study on the nonlinear dynamic characteristics of a kind of hinged connection structure. J Phys Conf Ser 2343(1), 1–7 (2022)

    Google Scholar 

Download references

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 11702318), the Beijing Natural Science Foundation (Grant No. 3184053), Open Project Fund of Modern Agricultural Engineering Key Laboratory at Universities of Education Department of Xinjiang Uygur Autonomous Region (Grant No. TDNG2022105) and Chinese Universities Scientific Fund (Grant No. 2022TC120) for their financial support of this research.

Author information

Authors and Affiliations

  1. Beijing Key Laboratory of Optimized Design for Modern Agricultural Equipment, College of Engineering, China Agricultural University, Beijing, China

    Qingping Shi, Xueyan Zhao, Haiyu Zhang, Bingquan Si & Zhenghe Song

  2. Modern Agricultural Engineering Key Laboratory at Universities of Education Department of Xinjiang Uygur Autonomous Region, Department of Mechanical and Electrical Engineering, Tarim University, Xinjiang, China

    Youqiang Zhang

Authors
  1. Qingping Shi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xueyan Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Haiyu Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Bingquan Si
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Zhenghe Song
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Youqiang Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xueyan Zhao.

Ethics declarations

Conflict of interest

The authors declare that they have no known conflict of interest or personal relationships that could have appeared to influence the work reported in this paper.

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

Shi, Q., Zhao, X., Zhang, H. et al. Analysis of nonlinear dynamics characteristics of a kind of hinged connection structures. Arch Appl Mech 93, 1725–1746 (2023). https://doi.org/10.1007/s00419-022-02354-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00419-022-02354-4

Keywords

Search

Navigation