Skip to main content
Log in

Modeling and simulation of revolute joint with clearance in planar multi-body systems

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

An improved nonlinear elastic-damping contact force model, based on accounting for the axial dimension of bearing and journal, energy dissipation during contact process and the nonlinear power exponent from material, is established to evaluate the contact force of revolute joint with clearance. The friction effect was also determined using the modified Coulomb friction model. Numerical simulation was carried out to discuss the influence of clearance size on the kinematic and dynamic characteristics of the planar slider-crank mechanism, which has a clearance joint between the connecting rod and slider. The numerical results point out that the existence of joint clearance causes high peaks on the kinematic and dynamic system’s characteristics. Even if the clearance size is small, it also causes obvious high frequency shaking of the slider acceleration, joint reaction force and the crank moment.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S. Erkaya, Prediction of vibration characteristics of a planar mechanism having imperfect joints using neural network, JMST, 26 (5) (2012) 1419–1430.

    Google Scholar 

  2. P. Flores and J. Ambrósio, Revolute joints with clearance in multibody systems, Computers and Structures, 82 (2004) 1359–1369.

    Article  Google Scholar 

  3. A. L. Schwab, J. P. Meijaard and P. Meijers, A comparison of revolute joint clearance models in the dynamic analysis of rigid and elastic mechanical systems, Mechanism and Machine Theory, 37 (2002) 895–913.

    Article  MATH  Google Scholar 

  4. P. Flores et al., A study on dynamics of mechanical systems including joints with clearance and lubrication, Mechanism and Machine Theory, 41 (2006) 247–261.

    Article  MATH  Google Scholar 

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

    Article  MATH  Google Scholar 

  6. P. Flores et al., Numerical and experimental investigation on multibody systems with revolute clearance joints, Nonlinear Dynamics, 65 (4) (2011) 383–398.

    Article  Google Scholar 

  7. S. Erkaya and I. Uzmay, Effects of balancing and link flexibility on dynamics of a planar mechanism having joint clearance, Scientia Iranica, 19 (3) (2012) 483–490.

    Article  Google Scholar 

  8. A. Zia and L. H. Qiao, The influence of assembly clearance on the deformation and stress of an assembly structure through FEA simulation, JMST, 26 (6) (2012) 1823–1827.

    Google Scholar 

  9. Y. Zhao and Z. F. Bai, Dynamics analysis of space robot manipulator with joint clearance, Acta Astronautica, 68 (2010) 1147–1155.

    Article  Google Scholar 

  10. S. Erkaya, Investigation of joint clearance effects on welding robot manipulators, Robotics and Computer-Integrated Manufacturing, 28 (2012) 449–457.

    Article  Google Scholar 

  11. P. Flores, Modeling and simulation of wear in revolute clearance joints in multibody systems, Mechanism and Machine Theory, 44 (2009) 1211–1222.

    Article  MATH  Google Scholar 

  12. Z. F. Bai, Y. Zhao and X. G. Wang, Wear analysis of revolute joints with clearance in multi-body systems, Science China (Physics, Mechanic & Astronomy), 56 (8) (2013) 1581–1590.

    Google Scholar 

  13. C. S. Koshy, P. Flores and H. M. Lankarani, Study of the effect of contact force model on the dynamic response of mechanical systems with dry clearance joints: computational and experimental approaches, Nonlinear Dynamics, 73 (2013) 325–338.

    Article  Google Scholar 

  14. C. Brutti, G. Coglitore and P. P. Valentini, Modeling 3D revolute joint with clearance and contact stiffness, Nonlinear Dynamics, 66 (4) (2011) 531–548.

    Article  Google Scholar 

  15. A. Gummer and B. Sauer, Modeling planer slider-crank mechanisms with clearance joints in RecurDyn, Multibody System Dynamics, 31 (2) (2014) 127–145.

    Article  Google Scholar 

  16. S. Erkaya and I. Uzmay, Modeling and simulation of joint clearance effects on mechanisms having rigid and flexible links, JMST, 28 (8) (2014) 2979–2986.

    Google Scholar 

  17. S. Dubowsky and F. Freudenstein, Dynamic analysis of mechanical systems with clearances, Part 1: formulation of dynamic model, J. of Engineering for Industry, 93 (1971) 305–309.

    Article  Google Scholar 

  18. W. Goldsmith, Impact-the theory and physical behaviors of colliding solids, Edward Arnold Ltd., London, England (1960).

    MATH  Google Scholar 

  19. K. H. Hunt and F. R. E. Crossley, Coefficient of restitution interpreted as damping in vibroimpact, J. of Applied Mechanics, 7 (1975) 440–445.

    Article  Google Scholar 

  20. Z. Y. Qi and Q. S. Liu, Analysis of impact process based on restitution coefficient, J. of Dynamics and Control, 4 (2006) 294–298.

    Google Scholar 

  21. H. M. Lankarani and P. E. Nikravesh, A contact force model with hysteresis damping for impact analysis of multibody systems, J. of Mechanical Design, 112 (1990) 368–376.

    Article  Google Scholar 

  22. C. S. Liu, K. Zhang and R. Yang, The FEM analysis and approximate model for cylindrical joints with clearances, Mechanism and Machine Theory, 42 (2007) 183–197.

    Article  MATH  Google Scholar 

  23. M. Machado et al., Compliant contact force models in multibody dynamics: Evolution of the Hertz contact theory, Mechanism and Machine Theory, 53 (2012) 99–121.

    Article  Google Scholar 

  24. C. Pereira, A. Ramalho and J. Ambrósio, Applicability domain of internal cylindrical contact force models, Mechanism and Machine Theory, 78 (2014) 141–157.

    Article  Google Scholar 

  25. Z. F. Bai and Y. Zhao, A hybrid contact force model of revolute joint with clearance for planar mechanical systems, International J. of Non-Linear Mechanics, 48 (2013) 15–36.

    Article  Google Scholar 

  26. I. Khemili and L. Romdhane, Dynamic analysis of a flexible slider-crank mechanism with clearance, European J. of Mechanics A/Solid, 27 (2008) 882–898.

    Article  MATH  Google Scholar 

  27. J. S.-S. Wu et al., The effect of bending loads on the dynamic behaviors of a rolling guide, JMST, 26 (3) (2012) 671–680.

    Google Scholar 

  28. J. Ambrósio, Impact of rigid and flexible multi-body systems: deformation description and contact models, Virtual Non-linear Multi-body Systems, 103 (2003) 57–81.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Geng Liu.

Additional information

Recommended by Associate Editor Jun-Sik Kim

Xupeng Wang is a Ph.D. candidate at Northwestern Polytechnical University in Xi’an, China. His M.S. is from Xi’an University of Technology. His research interests include CAD/CAE, multibody dynamics, virtual prototype design and impact dynamics of planar mechanism with clearance joints.

Geng Liu is a professor and director of the Institute for Engineering Design and Simulation at Northwestern Polytechnical University (NWPU) in Xi’an, China. He received his M.S. in NWPU and Ph.D. in Xi’an Jiao tong University. His research interests include mechanical dynamic design, mechanical systems dynamics, simulation and virtual prototype design, tribology, contact mechanics and numerical methods.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, X., Liu, G. Modeling and simulation of revolute joint with clearance in planar multi-body systems. J Mech Sci Technol 29, 4113–4120 (2015). https://doi.org/10.1007/s12206-015-0905-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-015-0905-4

Keywords

Navigation