Skip to main content
SpringerLink
Log in

Dynamic analysis of the double crank mechanism with a 3D translational clearance joint employing a variable stiffness contact force model

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

Abstract

Oblique collisions are more likely to happen in the realistic translational joint with clearance, compared to the full front impacts. It can be a quite demanding task to evaluate how oblique contact influences the system responses. In this connection, a modified model to assess the contact forces generated in the 3D translational clearance joint is presented, together with its application in a double crank mechanism. The influence of the oblique impact, as well as the geometrical changes of the contact region, is introduced to this model. The effects of impact velocity and initial inclination angles were numerically analyzed in a two-body oblique contact system as a demonstrated example. Referring to the simulation results obtained from software ANSYS/LS-DYNA, the accuracy of the proposed model was proved. Numerical investigations were carried out for a double crank mechanism with rigid bodies to study the effects of crank speed and clearance size on the dynamic behaviors. Poincaré portraits and acceleration of the output element were utilized to assess the system behaviors. The results demonstrate that the translational clearance and oblique contact can have a remarkable influence on the system responses. Furthermore, an experimental rig was established based on a mechanical press to achieve some experimental validations.

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

Similar content being viewed by others

References

  1. Bing, S., Ye, J.: Dynamic analysis of the reheat-stop-valve mechanism with revolute clearance joint in consideration of thermal effect. Mech. Mach. Theory 43(12), 1625–1638 (2008)

    Google Scholar 

  2. Mukras, S., Kim, N.H., Mauntler, N.A., Schmitz, T.L., Sawyer, W.G.: Analysis of planar multibody systems with revolute joint wear. Wear 268(5–6), 643–652 (2010)

    Google Scholar 

  3. Bai, Z.F., Sun, Y.: A study on dynamics of planar multibody mechanical systems with multiple revolute clearance joints. Eur. J. Mech. A. Solids 60, 95–111 (2016)

    Google Scholar 

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

    Google Scholar 

  5. Farahanchi, F., Shaw, S.W.: Chaotic and periodic dynamics of a slider-crank mechanism with slider clearance. J. Sound Vib. 177(3), 307–324 (1994)

    Google Scholar 

  6. Zhao, B., Zhou, K., Xie, Y.: A new numerical method for planar multibody system with mixed lubricated revolute joint. Int. J. Mech. Sci. 113, 105–119 (2016)

    Google Scholar 

  7. Tian, Q., Flores, P., Lankarani, H.M.: A comprehensive survey of the analytical, numerical and experimental methodologies for dynamics of multibody mechanical systems with clearance or imperfect joints. Mech. Mach. Theory 122, 1–57 (2018)

    Google Scholar 

  8. Tian, Q., Liu, C., Machado, M., Flores, P.: A new model for dry and lubricated cylindrical joints with clearance in spatial flexible multibody systems. Nonlinear Dyn. 64(1–2), 25–47 (2011)

    Google Scholar 

  9. Tian, Q., Zhang, Y., Chen, L., Flores, P.: Dynamics of spatial flexible multibody systems with clearance and lubricated spherical joints. Comput. Struct. 87(13–14), 913–929 (2009)

    Google Scholar 

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

    Google Scholar 

  11. Li, Y., Wang, Z., Wang, C., Huang, W.: Effects of torque spring, CCL and latch mechanism on dynamic response of planar solar arrays with multiple clearance joints. Acta Astronaut. 132, 243–255 (2017)

    Google Scholar 

  12. Zheng, X., Zhang, F., Wang, Q.: Modeling and simulation of planar multibody systems with revolute clearance joints considering stiction based on an LCP method. Mech. Mach. Theory 130, 184–202 (2018)

    Google Scholar 

  13. Salahshoor, E., Ebrahimi, S., Zhang, Y.: Frequency analysis of a typical planar flexible multibody system with joint clearances. Mech. Mach. Theory 126, 429–456 (2018)

    Google Scholar 

  14. Flores, P., Leine, R., Glocker, C.: Modeling and analysis of planar rigid multibody systems with translational clearance joints based on the non-smooth dynamics approach. Multibody Syst. Dyn. 23(2), 165–190 (2010)

    Google Scholar 

  15. Skrinjar, L., Slavič, J., Boltežar, M.: A validated model for a pin-slot clearance joint. Nonlinear Dyn. 88(1), 131–143 (2017)

    Google Scholar 

  16. Ma, J., Qian, L.: Modeling and simulation of planar multibody systems considering multiple revolute clearance joints. Nonlinear Dyn. 90(3), 1907–1940 (2017)

    Google Scholar 

  17. Zhu, A., He, S., Zhao, J., Luo, W.: A nonlinear contact pressure distribution model for wear calculation of planar revolute joint with clearance. Nonlinear Dyn. 88(1), 315–328 (2017)

    Google Scholar 

  18. Flores, P., Ambrósio, J., Claro, J.C.P., Lankarani, H.M.: Translational joints with clearance in rigid multibody systems. J. Comput. Nonlinear Dyn. 3(1), 11007 (2008)

    Google Scholar 

  19. Flores, P., Ambrósio, J., Claro, J.C.P., Lankarani, H.M.: Kinematics and Dynamics of Multibody Systems with Imperfect Joints: Models and Case Studies. Lecture Notes in Applied and Computational Mechanics, vol. 34. Springer, Berlin (2008)

    Google Scholar 

  20. Zhuang, F., Wang, Q.: Modeling and analysis of rigid multibody systems with driving constraints and frictional translation joints. Acta Mech. Sin.-PRC 30(3), 437–446 (2014)

    Google Scholar 

  21. Erkaya, S., Uzmay, İ.: Experimental investigation of joint clearance effects on the dynamics of a slider-crank mechanism. Multibody Syst. Dyn. 24(1), 81–102 (2010)

    Google Scholar 

  22. Erkaya, S., Doğan, S., Ulus, S.: Effects of joint clearance on the dynamics of a partly compliant mechanism: Numerical and experimental studies. Mech. Mach. Theory 88, 125–140 (2015)

    Google Scholar 

  23. Wilson, R., Fawcett, J.N.: Dynamics of the slider-crank mechanism with clearance in the sliding bearing. Mech. Mach. Theory 9(1), 61–80 (1974)

    Google Scholar 

  24. Ting, K., Hsu, K., Yu, Z., Wang, J.: Clearance-induced output position uncertainty of planar linkages with revolute and prismatic joints. Mech. Mach. Theory 111, 66–75 (2017)

    Google Scholar 

  25. Ambrósio, J., Pombo, J.: A unified formulation for mechanical joints with and without clearances/bushings and/or stops in the framework of multibody systems. Multibody Syst. Dyn. 42(3), 317–345 (2018)

    Google Scholar 

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

    Google Scholar 

  27. Azimi Olyaei, A., Ghazavi, M.R.: Stabilizing slider-crank mechanism with clearance joints. Mech. Mach. Theory 53, 17–29 (2012)

    Google Scholar 

  28. Wang, Z., Tian, Q., Hu, H., Flores, P.: Nonlinear dynamics and chaotic control of a flexible multibody system with uncertain joint clearance. Nonlinear Dyn. 86(3), 1571–1597 (2016)

    Google Scholar 

  29. Xiao, M., Geng, G., Li, G., Li, H., Ma, R.: Analysis on dynamic precision reliability of high-speed precision press based on Monte Carlo method. Nonlinear Dyn. 90(4), 2979–2988 (2017)

    Google Scholar 

  30. Zheng, E., Zhou, X.: Modeling and simulation of flexible slider-crank mechanism with clearance for a closed high speed press system. Mech. Mach. Theory 74, 10–30 (2014)

    Google Scholar 

  31. Zheng, E., Zhu, R., Zhu, S., Lu, X.: 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 (2016)

    Google Scholar 

  32. Chen, Y., Sun, Y., Chen, C.: Dynamic analysis of a planar slider-crank mechanism with clearance for a high speed and heavy load press system. Mech. Mach. Theory 98, 81–100 (2016)

    Google Scholar 

  33. Chen, Y., Sun, Y., Peng, B., Cao, C.: A comparative study of joint clearance effects on dynamic behavior of planar multibody mechanical systems. Lat. Am. J. Solids Struct. 13(15), 2815–2833 (2016)

    Google Scholar 

  34. Keller, J.B.: Impact with friction. Trans. ASME J. Appl. Mech. 53, 1–4 (1986)

    Google Scholar 

  35. Bhatt, V.: Three-dimensional frictional rigid-body impact. Trans. ASME J. Appl. Mech. 62, 893–898 (1995)

    Google Scholar 

  36. Zhen, Z., Liu, C.: The analysis and simulation for three-dimensional impact with friction. Multibody Syst. Dyn. 18(4), 511–530 (2007)

    Google Scholar 

  37. Tan, H., Hu, Y., Li, L.: A continuous analysis method of planar rigid-body mechanical systems with two revolute clearance joints. Multibody Syst. Dyn. 40(4), 347–373 (2017)

    Google Scholar 

  38. Lankarani, H.M.: Canonical equations of motion and estimation of parameters in the analysis of impact problems. Ph.D. thesis, University of Arizona (1988)

  39. Timoshenko, S., Goodier, J.N.: Theory of Elasticity, 2nd edn. McGraw-Hill, New York (1951). (Sec. 41)

    Google Scholar 

  40. Ambrósio, J.A.C.: Impact of rigid and flexible multibody systems: deformation description and contact models. In: Schiehlen, W., Valášek, M. (eds.) Virtual Nonlinear Multibody Systems, pp. 57–81. Springer, Dordrecht (2003)

    Google Scholar 

  41. Baumgarte, J.: Stabilization of constraints and integrals of motion in dynamical systems. Comput. Methods Appl. Mech. Eng. 1(1), 1–16 (1972)

    Google Scholar 

  42. Khemili, I., Romdhane, L.: Dynamic analysis of a flexible slider-crank mechanism with clearance. Eur. J. Mech. 27(5), 882–898 (2008)

    Google Scholar 

Download references

Acknowledgements

The authors would like to express appreciation to the anonymous reviewers for their insightful comments and suggestions on this paper. The work is supported by the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (No. 19KJB460001).

Author information

Authors and Affiliations

  1. School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, 210094, China

    Xuze Wu, Yu Sun & Yu Wang

  2. School of Mechanical Engineering, Jiangsu University of Technology, Changzhou, 213001, China

    Yu Chen

Authors
  1. Xuze Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yu Sun
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yu Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Yu Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yu Sun.

Ethics declarations

Conflict 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

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

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. Nonlinear Dyn 99, 1937–1958 (2020). https://doi.org/10.1007/s11071-019-05419-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-019-05419-2

Keywords

Search

Navigation