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Research on Dynamics of Planar Multi-body Systems with Clearance Joint Based on an Improved Nonlinear Contact Force Model

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Proceedings of the 2nd International Conference on Mechanical System Dynamics (ICMSD 2023)

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

Found on the elastic contact force model, an improved nonlinear model for cylindrical rotating joints is proposed, considering the impact of geometric dimensions of the rotating joint on nonlinear stiffness coefficient. The validity of the improved nonlinear model is verified by comparing it with the common L-N model. To research the influence of clearance on the dynamic response of multi-body systems, dynamic model of a planar four-bar mechanism with clearance was established by using the improved nonlinear contact force model and Lagrange equations. The influence of clearance value on the dynamic characteristics of the multi-body mechanical system is studied, and the Poincaré diagram is used to verify that the existence of clearance is an important factor leading to the aperiodic or chaotic dynamics of multi-body systems. Results shows that as the clearance value increase, vibration amplitude, single impact and wear of the multi-body system increase, and the system presents quasi-periodic or chaotic response, indicating that the existence of clearance is one of the factors causing the nonlinear response of systems.

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References

  1. Bai ZF, Sun Y (2016) A study on dynamics of planar multibody mechanical systems with multiple revolute clearance joints. Euro J Mech/A Sol 60:95–111

    Article  Google Scholar 

  2. Flores P, Machado M, Silva MT et al (2011) On the continuous contact force models for soft materials in multibody dynamics. Multibody SysDyn 25(3):357–375

    Article  Google Scholar 

  3. Bai ZF, Zhao Y, Chen J (2013) Dynamics analysis of planar mechanical system considering revolute clearance joint wear. Tribol Int 64(Complete):85–95

    Google Scholar 

  4. Akhadkar N, Acary V, Brogliato B (2016) Analysis of collocated feedback controllers for four-bar planar mechanisms with joint clearances. Multibody SysDyn 38(2):101–136

    Article  MathSciNet  Google Scholar 

  5. Zhang J, Du X (2015) Time-dependent reliability analysis for function generation mechanisms with random joint clearances. Mech Mach Theory 92:184–199

    Article  Google Scholar 

  6. Tian Q, Liu C, Machado M et al (2011) A new model for dry and lubricated cylindrical joints withclearance in spatial flexible multibody systems. Nonlinear Dyn 64(1–2):25–47

    Article  Google Scholar 

  7. Liu C, Zhang K, Yang L (2005) The compliance contact model of cylindrical joints with clearances. Acta Mech Sin 21(5):451–458

    Article  Google Scholar 

  8. Wang G, Liu C (2020) Further investigation on improved viscoelastic contact force model extended based on hertz’s law in multibody system. Mech Mach Theory 153:103986

    Article  Google Scholar 

  9. Zhang J, Li W, Zhao L et al (2020) A continuous contact force model for impact analysis in multibody dynamics. Mech Mach Theory 153:1–24

    Article  Google Scholar 

  10. Shen Y, **ang D, Wang X et al (2018) A contact force model considering constant external forces for impact analysis in multibody dynamics. Multibody SysDyn 44(4):397–419

    Article  MathSciNet  Google Scholar 

  11. Wang X, Liu G, Ma S et al (2017) Effects of restitution coefficient and material characteristics on dynamic response of planar multi-body systems with revolute clearance joint. J Mech Sci Technol 31(2):587–597

    Article  Google Scholar 

  12. Bai ZF, Xu FS, Zhao JJ (2021) Numerical and experimental study on dynamics of the planar mechanical system considering two revolute clearance joints. Int J Mech Syst Dyn 2(1):256–266

    Article  Google Scholar 

  13. Liu J, Zhao FT, **ao ZM et al (2022) The establishment of the normal contact force model for a one-dimensional sphere chain subjected to impact load. Int J Mech Syst Dyn 1(2):131–142

    Article  Google Scholar 

  14. Flores P, Koshy CS, Lankarani HM et al (2011) Numerical and experimental investigation on multibody systems with revolute clearance joints. Nonlinear Dyn 65(4):383–398

    Article  Google Scholar 

  15. Flores P (2009) Modeling and simulation of wear in revolute clearance joints in multibody systems. Mech Mach Theory 44(6):1211–1222

    Article  Google Scholar 

  16. Ebrahimi S, Salahshoor E, Moradi S (2017) Vibration performance evaluation of planar flexible multibody systems with joint clearance. J Braz Soc Mech Sci Eng 39(2):1–15

    Google Scholar 

  17. Yu H, Zhang J, Wang H (2017) Dynamic performance of over-constrained planar mechanisms with multiple revolute clearance joints. In: Archive proceedings of the institution of mechanical engineers part C journal of mechanical engineering science 1989–1996, vol 203–210, 095440621773803

    Google Scholar 

  18. Bai ZF, Zhao Y (2012) Dynamics modeling and quantitative analysis of multibody systems including revolute clearance joint. Precis Eng 36(4):554–567

    Article  Google Scholar 

  19. Ahmedalbashir M, Romdhane L, Lee J (2017) Dynamics of a four-bar mechanism with clearance and springs-Modeling and experimental analysis[J]. Journal of Mechanical Science and Technology 31(3), 1023–1033 (20107).

    Google Scholar 

  20. Wang X, Liu G, Ma S (2016) Dynamic analysis of planar mechanical systems with clearance joints using a new nonlinear contact force model. J Mech Sci Technol

    Google Scholar 

  21. Muvengei O, Kihiu J, Ikua B (2012) Dynamic analysis of planar multi-body systems with LuGre friction at differently located revolute clearance joints. Multibody SysDyn 28(4):369–393

    Article  MathSciNet  Google Scholar 

  22. Li Y, Wang C, Huang W (2019) Dynamics analysis of planar rigid-flexible coupling deployable solar array system with multiple revolute clearance joints. Mech Syst Signal Process 117:188–209

    Google Scholar 

  23. Zhao B, Cui Y, **e Y et al (2017) Dynamics and lubrication analyses of a planar multibody system with multiple lubricated joints. In: Archive proceedings of the institution of mechanical engineers part J journal of engineering tribology 1994–1996, vol 208–210, 135065011771389

    Google Scholar 

  24. Nikravesh PE (2015) An overview of several formulations for multibody dynamics. In: Product engineering: eco-design, technologies and green energy, 189–226

    Google Scholar 

  25. Daniali HM, Varedi SM, Dardel M et al (2015) A novel algorithm for kinematic and dynamic optimal synthesis of planar four-bar mechanisms with joint clearance. J Mech Sci Technol 29(5):2059–2065

    Article  Google Scholar 

  26. Zheng E, Zhu R, Zhu S et al (2016) A study on dynamics of flexible multi-link mechanism including joints with clearance and lubrication for ultra-precision presses. Nonlinear Dyn 83(1–2):137–159

    Article  MathSciNet  Google Scholar 

  27. Rahmanian S, Ghazavi MR (2015) Bifurcation in planar slider-crank mechanism with revolute clearance joint. Mech Mach Theory 91:86–101

    Article  Google Scholar 

  28. Tang Y, Chang Z, Dong X et al (2013) Nonlinear dynamics and analysis of a four-bar linkage with clearance. Front Mech Eng 8(2):160–168

    Article  Google Scholar 

  29. Farahan SB, Ghazavi MR, Rahmanian S (2016) Bifurcation in a planar four-bar mechanism with revolute clearance joint. Nonlinear Dyn 87(2):1–19

    Google Scholar 

  30. Stoenescu ED, Marghitu DB (2003) Dynamic analysis of a planar rigid-link mechanism with rotating slider joint and clearance. J Sound Vib 266(2):394–404

    Article  Google Scholar 

  31. Rui XT, Zhang JS, Wang X et al (2022) Multibody system transfer matrix method: the past, the present, and the future. Int J Mech Syst Dyn 1(2):3–26

    Article  Google Scholar 

  32. Rui X, Bestle D (2021) Reduced multibody system transfer matrix method using decoupled hinge equations. Int J Mech Syst Dyn 2(1):182–193

    Article  Google Scholar 

  33. Liu CS, Zhang K, Yang R (2007) The FEM analysis and approximate model for cylindrical joints with clearances. Mech Mach Theory 42(2):183–197

    Article  Google Scholar 

  34. Flores P, Ambrosio J, Claro JCP et al (2007) Dynamic behaviour of planar rigid multi-body systems including revolute joints with clearance. J Multi-Body Dyn 221(K2):161–174

    Google Scholar 

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Acknowledgements

Authors would like to acknowledge foundation item: Natural Science Foundation of China (No. 51475330, No. 52175243 and No. 52005368) for supporting the research.

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Authors and Affiliations

  1. School of Mechanical Engineering, Tiangong University, Tian**, 300387, China

    Zhimin Wang, Guoguang **, Boyan Chang, Dong liang, Zhan Wei, Bo Li & Yang Zhou

  2. Tian** Key Laboratory of Advanced Mechatronics Equipment Technology, Tiangong University, Tian**, 300387, China

    Guoguang **, Boyan Chang, Dong liang, Zhan Wei & Bo Li

Authors
  1. Zhimin Wang
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  2. Guoguang **
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  3. Boyan Chang
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  4. Dong liang
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  5. Zhan Wei
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  6. Bo Li
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  7. Yang Zhou
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Corresponding author

Correspondence to Guoguang ** .

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Editors and Affiliations

  1. Institute of Launch Dynamics, Nan**g University of Science and Technology, Nan**g, China

    **aoting Rui

  2. College of Engineering, Peking University, Bei**g, China

    Caishan Liu

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© 2024 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Wang, Z. et al. (2024). Research on Dynamics of Planar Multi-body Systems with Clearance Joint Based on an Improved Nonlinear Contact Force Model. In: Rui, X., Liu, C. (eds) Proceedings of the 2nd International Conference on Mechanical System Dynamics. ICMSD 2023. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-99-8048-2_4

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  • DOI: https://doi.org/10.1007/978-981-99-8048-2_4

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-99-8047-5

  • Online ISBN: 978-981-99-8048-2

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