Skip to main content
Log in

Modeling and control of crank–slider mechanism with multiple clearance joints

  • Published:
Multibody System Dynamics Aims and scope Submit manuscript

Abstract

In the current study, the behavior of a crank–slider mechanism with single and multiple clearance joints is analyzed. For this purpose nonlinear dynamics of the system are discussed, using Poincare maps and bifurcation diagrams. Subsequently, the effects of joint friction on dynamical behavior and nonlinear response of the mechanism are investigated. Afterward, a control scheme providing continuous contact in joints, with the aim of maintaining a more stable behavior, is proposed. The control scheme is easy to apply and, since continuous contact between bodies in joints is established, several undesired effects normally caused because of clearance joints are prevented or reduced. Also the limitation of the proposed control method is investigated.

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.

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

Similar content being viewed by others

References

  1. Earles, S.W.E., Wu, C.L.S.: Motion analysis of a rigid link mechanism with clearance at a bearing using Lagrangian mechanics and digital computation. J. Mech. 83–89 (1973)

  2. Erkayaa, S., Uzmay, İ.: Experimental investigation of joint clearance effects. Multibody Syst. Dyn. 24, 81–102 (2010)

    Article  Google Scholar 

  3. Dupac, M., Beale, D.G.: Dynamic analysis of a flexible linkage mechanism with cracks and clearance. Mech. Mach. Theory 45, 1909–1923 (2010)

    Article  MATH  Google Scholar 

  4. Earles, S.W.E., Wu, C.L.S.: Predicting the occurrence of contact loss and impact at a bearing from a zero-clearance analysis. In: Proc. 4th World Cong. IFToMM, Newcastle Upon Tyne, England, pp. 1013–1018 (1975)

    Google Scholar 

  5. Dubowsky, S.: On predicting the dynamic effects of clearances in planar mechanisms. ASME, J. Eng. Ind. 93, 317–323 (1974)

    Article  Google Scholar 

  6. Dubowsky, S., Freudenstein, F.: Dynamic analysis of mechanical systems with clearances, Part 1, Formulation of dynamic model. J. Eng. Ind. 93, 305–309 (1971)

    Article  Google Scholar 

  7. Hertz, H.: Über die Berührung fester elastischer Körper. J. Reine Angew. Math. 92, 156–171 (1881)

    MathSciNet  Google Scholar 

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

    Article  Google Scholar 

  9. Orden, J.C.G.: Analysis of joint clearances in multibody systems. Multibody Syst. Dyn. 13, 401–420 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  10. Ambrósio, J.A.C.: Impact of rigid and flexible multibody systems: deformation description and contact models. In: Virtual Nonlinear Multibody Systems. Nato Advanced Study Institute, Prague, Czech Republic, vol. 2, pp. 15–33 (2002)

    Google Scholar 

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

    Article  Google Scholar 

  12. Ravn, P.: A continuous analysis method for planar multibody systems with joint clearance. Multibody Syst. Dyn. 2, 1–24 (1998)

    Article  MATH  Google Scholar 

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

    Article  Google Scholar 

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

    Article  Google Scholar 

  15. Machado, M., Moreira, P., Flores, P., Lankarani, H.M.: Compliant contact force models in multibody dynamics: evolution of the hertz contact theory. Mech. Mach. Theory 53, 99–121 (2012)

    Article  Google Scholar 

  16. Gummer, A., Sauer, B.: Modeling planar slider–crank mechanisms with clearance joints in RecurDyn. Multibody Syst. Dyn. 31(2), 127–145 (2014)

    Article  Google Scholar 

  17. Flores, P., Machado, M., Silva, M.T., Martins, J.M.: On the continuous contact force models for soft materials in multibody dynamics. Multibody Syst. Dyn. 25(3), 357–375 (2011)

    Article  MATH  Google Scholar 

  18. Zhaohu, Q., Xiaoming, L., Zhihao, H.: Frictional contact analysis of spatial prismatic joints in multibody systems. Multibody Syst. Dyn. 26(4), 441–468 (2011)

    Article  MathSciNet  Google Scholar 

  19. Flores, P., Ambrósio, J., Claro, J.C.P., Lankarani, H.M.: Dynamic behaviour of planar rigid multibody systems including revolute joints with clearance. Proc. Inst. Mech. Eng., Proc., Part K, J. Multi-Body Dyn. 221(2), 161–174 (2007)

    Article  Google Scholar 

  20. Zhang, Z., Xu, L., Flores, P., Lankarani, H.M.: A Kriging model for the dynamics of mechanical systems with revolute joint clearances. J. Comput. Nonlinear Dyn. 9(3), 031013 (2014)

    Article  Google Scholar 

  21. Flores, P., Lankarani, H.M.: Dynamic response of multibody systems with multiple clearance joints. J. Comput. Nonlinear Dyn. 7(3), 031003 (2012)

    Article  Google Scholar 

  22. Muvengei, O., Kihi, J., Ikua, B.: Effects of clearance size on the dynamic response of planar multi-body systems with differently located frictionless revolute clearance joints. J. Energy Technol. Policy 53, 30–49 (2012)

    Google Scholar 

  23. Seneviratne, L.D., Earles, S.W.E.: Chaotic behavior exhibited during contact loss in a clearance joint of four-bar mechanism. Mech. Theory 27(3), 307–321 (1992)

    Article  Google Scholar 

  24. 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)

    Article  MATH  Google Scholar 

  25. Yoon, Y.S., Shim, J.S., Lee, S.B., Willmert, K.D.: Reduction of the joint clearance effect for a planar flexible mechanism. J. Mech. Sci. Technol. 9, 312–322 (1995)

    Google Scholar 

  26. Park, C.B., Kwak, B.M.: Counterweight optimization for reducing dynamic effects of clearance at a revolute joint. Mech. Mach. Theory 22(6), 549–556 (1987)

    Article  Google Scholar 

  27. Li, Z., Bai, S.: Optimum balancing of linkages with clearances. Mech. Mach. Theory 27(5), 535–541 (1992)

    Article  Google Scholar 

  28. Wanghui, B., Liu, Z., Tan, J., Gao, S.: Detachment avoidance of joint elements of a robotic manipulator with clearances based on trajectory planning. Mech. Mach. Theory 45, 925–940 (2010)

    Article  MATH  Google Scholar 

  29. Cheng, L., Qiang, T., Haiyan, H.: Dynamics and control of a spatial rigid-flexible multibody system with multiple cylindrical clearance joints. Mech. Mach. Theory 52, 106–129 (2012)

    Article  Google Scholar 

  30. Flores, P., Lankarani, H.M., Ambrósio, J., Claro, J.C.P.: Modelling lubricated revolute joints in multibody mechanical systems. Proc. Inst. Mech. Eng., Proc., Part K, J. Multi-Body Dyn. 218(4), 183–190 (2004)

    Google Scholar 

  31. Flores, P., Lankarani, H.M.: Spatial rigid-multi-body systems with lubricated spherical clearance joints: modeling and simulation. Nonlinear Dyn. 60(1–2), 99–114 (2010)

    Article  MATH  Google Scholar 

  32. Tian, Q., Sun, Y., Liu, C., Hu, H., Flores, P.: Elastohydrodynamic lubricated cylindrical joints for rigid-flexible multibody dynamics. Comput. Struct. 114–115, 106–120 (2013)

    Article  Google Scholar 

  33. Flores, P., Ambrósio, J., Claro, J.C.P., Lankarani, H.M.: Kinematics and dynamics of multibody systems with imperfect joints, models and case studies. Lect. Notes Appl. Comput. Mech. 34, 1–21 (2008)

    Article  Google Scholar 

  34. Lopes, D.S., Silva, M.T., Ambrósio, J.A., Flores, P.: A mathematical framework for contact detection between quadric and superquadric surfaces. Multibody Syst. Dyn. 24(3), 255–280 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  35. Rooney, G.T., Deravi, P.: Coulomb friction in mechanism sliding joints. Mech. Mach. Theory 17, 207–211 (1982)

    Article  Google Scholar 

  36. Therelfall, D.C.: The inclusion of Coulomb friction in mechanisms programs with particular reference to DRAM. Mech. Mach. Theory 13, 475–483 (1978)

    Article  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  38. Hilborn, R.C.: Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers. Oxford University Press, New York (2000)

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Morteza Dardel.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yaqubi, S., Dardel, M., Daniali, H.M. et al. Modeling and control of crank–slider mechanism with multiple clearance joints. Multibody Syst Dyn 36, 143–167 (2016). https://doi.org/10.1007/s11044-015-9486-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11044-015-9486-3

Keywords

Navigation