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Modeling and simulation of joint clearance effects on mechanisms having rigid and flexible links

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Abstract

In this study, kinematic and dynamic characteristics of a planar four-bar mechanism having joint clearance and link flexibility are investigated. Assuming that joint clearance as a virtual massless link, artificial clearances are developed at crank-coupler and coupler-follower joints. Contact model in joints with clearance is established using the nonlinear spring-damper model and the friction effect is considered using the Coulomb friction model. Then the simulation is implemented and the kinematic and dynamic characteristics of model mechanism are investigated. The computational methodology can predict the effects of clearance on planar mechanism having rigid and flexible links. The results are evaluated for the case of stationary phase, and naturally show that extreme values occur in output of the mechanism with clearances. Due primarily to the suspension effect of the flexible link, values of these peaks in the flexible mechanism decrease relative to that of the rigid mechanism. In addition, the flexibility has a significant effect on the vibration response of the mechanism with joint clearance.

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References

  1. X. Jia, D. Jin, L. Ji and J. Zhang, Investigation on the dynamic performance of the tripod-ball sliding joint with clearance in a crank-slider mechanism. Part 1. Theoretical and experimental results, J. Sound Vib., 252 (5) (2002) 919–933.

    Article  Google Scholar 

  2. 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, Mech. Mach. Theo. 37 (2002) 895–913.

    Article  MATH  Google Scholar 

  3. J. Chunmei, Q. Yang, F. Ling and Z. Ling, The non-linear dynamic behavior of an elastic linkage mechanism with clearances, J. Sound Vib., 249 (2) (2002) 213–226.

    Article  Google Scholar 

  4. P. Flores, J. Ambrosio and J. P. Claro, Dynamic analysis for planar multibody mechanical systems with lubricated joints, Multib. Sys. Dyn., 12 (2004) 47–74.

    Article  MATH  Google Scholar 

  5. P. Flores, J. Ambrosio, J. C. P. Claro, H. M. Lankarani and C. S. Koshy, A study on dynamics of mechanical systems including joints with clearance and lubrication, Mech. Mach. Theo., 41 (2006) 247–261.

    Article  MATH  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  7. P. Flores, J. Ambrosio, J. C. P. Claro and H. M. Lankarani, Influence of the contact-impact force model on the dynamic response of multi-body systems, Proc. Inst. Mech. Eng. Part K: J. Multib. Dyn., 220 (1) (2006) 21–34.

    Google Scholar 

  8. T. N. Shiau, Y. J. Tsai and M. S. Tsai, Nonlinear dynamic analysis of a parallel mechanism with consideration of joint effects, Mech. Mach. Theo., 43 (4) (2008) 491–505.

    Article  MATH  Google Scholar 

  9. S. Erkaya and I. Uzmay, Determining link parameters using genetic algorithm in mechanisms with joint clearance, Mech. Mach. Theo., 44 (2009) 222–234.

    Article  MATH  Google Scholar 

  10. S. Erkaya and I. Uzmay, Optimization of transmission angle for slider-crank mechanism with joint clearances, Struc. Multidiscip. Optim., 37 (2009) 493–508.

    Article  Google Scholar 

  11. S. Erkaya and I. Uzmay, A neural-genetic (NN-GA) approach for optimising mechanisms having joints with clearance, Multib. Sys. Dyn., 20 (2008) 69–83.

    Article  MATH  MathSciNet  Google Scholar 

  12. S. Erkaya and I. Uzmay, Investigation on effect of joint clearance on dynamics of four-bar mechanism, Nonlin. Dyn., 58 (2009) 179–198.

    Article  MATH  Google Scholar 

  13. I. Khemili and L. Romdhane, Dynamic analysis of a flexible slider-crank mechanism with clearance, Europ. J. of Mech. A/Solids, 27 (5) (2008) 882–898.

    Article  MATH  Google Scholar 

  14. O. A. Bauchau and J. Rodrigez, Modelling of joints with clearance in flexible multibody systems, Int. J. Solids Struc., 39 (2002) 41–63.

    Article  MATH  Google Scholar 

  15. C. S. Liu, K. Zhang and R. Yang, The FEM analysis and approximate model for cylindrical joints with clearances, Mech. Mach. Theo., 42 (2007) 183–197.

    Article  MATH  Google Scholar 

  16. S. Erkaya and I. Uzmay, Experimental investigation of joint clearance effects on the dynamics of a slider-crank mechanism, Multib. Sys. Dyn., 24 (1) (2010) 81–102.

    Article  MATH  MathSciNet  Google Scholar 

  17. P. Flores, C. S. Koshy, N. M. Lankarani, J. Ambrosio and J. C. P. Claro, Numerical and experimental investigation on multibody systems with revolute clearance joints, Nonlin. Dyn., 65 (2011) 383–398.

    Article  Google Scholar 

  18. Y. Zhao and Z. F. Bai, Dynamics analysis of space robot manipulator with joint clearance, Acta Astron., 68 (2011) 1147–1155.

    Article  Google Scholar 

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

    Article  MATH  Google Scholar 

  20. S. Erkaya, Robust Design approaches for mechanism with joint clearance, Ph.D. Thesis, Erciyes University, Graduate School of Natural and Applied Sciences, March (2009).

    Google Scholar 

  21. P. Ravn, A continuous analysis method for planar multibody systems with joint clearance, Multib. Sys. Dyn., 2 (1998) 1–24.

    Article  MATH  Google Scholar 

  22. P. Flores, M. Machado, M. T. Silva and J. M. Martins, On the continuous contact force models for soft materials in multibody dynamics, Multib. Sys. Dyn., 25 (3) (2011) 357–375.

    Article  MATH  Google Scholar 

  23. M. Machado, P. Moreira, P. Flores and H. M. Lankarani, Compliant contact force models in multibody dynamics: Evolution of the Hertz contact theory, Mech. Mach. Theo., 53 (2012) 99–121.

    Article  Google Scholar 

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

    Article  Google Scholar 

  25. H. M. Lankarani and P. E. Nikravesh, Continuous contact force models for impact analysis in multibody systems, Nonlin. Dyn., 5 (1994) 193–207.

    Google Scholar 

  26. P. Flores J. Ambrósio, J. C. P. Claro and H. M. Lankarani, Kinematics and dynamics of multibody systems with imperfect joints, Springer-Verlag, Berlin Heidelberg (2008).

    MATH  Google Scholar 

  27. P. E. Nikravesh, Computer-aided analysis of mechanical systems, Prentice-Hall, Englewood Cliffs, New Jersey (1988).

    Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  29. P. Flores, M. Machado, E. Seabra and M. T. Silva, A parametric study on the Baumgarte stabilization method for forward dynamics of constrained multibody systems, ASME J Comp. Nonlin. Dyn., 6 (1) (2011) 011019–9.

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Mechatronics Engineering, Engineering Faculty, Erciyes University, Kayseri, 38039, Turkey

    Selçuk Erkaya

  2. Department of Mechanical Engineering, Engineering Faculty, Erciyes University, Kayseri, 38039, Turkey

    İbrahim Uzmay

Authors
  1. Selçuk Erkaya
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  2. İbrahim Uzmay
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Correspondence to Selçuk Erkaya.

Additional information

Recommended by Editor Yeon June Kang

Selçuk Erkaya graduated from Mechanical Engineering Department at Erciyes University in 2001. He received M.Sc. and Ph.D. degrees from the same university. He currently works at Mechatronics Engineering Department at Erciyes University. His research areas are mechanism and machine theory, noise and mechanical vibrations, neural networks and optimization, robust design of mechanical systems.

İbrahim Uzmay graduated from Mechanical Engineering Department at Yildiz Technical University in 1978. He received M.Sc. and Ph.D. degrees from Yildiz and Istanbul Technical Universities, respectively. He currently works at Mechanical Engineering Department at Erciyes University. His research areas are mechanism and machine theory, noise and mechanical vibrations, Robots and control.

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Erkaya, S., Uzmay, İ. Modeling and simulation of joint clearance effects on mechanisms having rigid and flexible links. J Mech Sci Technol 28, 2979–2986 (2014). https://doi.org/10.1007/s12206-014-0705-2

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  • DOI: https://doi.org/10.1007/s12206-014-0705-2

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