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Dynamic and motion consistency analysis for a planar parallel mechanism with revolute dry clearance joints

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Abstract

The aim of the research was to introduce a methodology for dynamic response and motion consistency research on multibody system with multiple revolute clearance joints. An improved impact force model and a modified friction force model were introduced to evaluate the effects of impact and friction in clearance joints. A planar parallel mechanism which has two clearance joints in the left wing and the right wing was also used as an example. From the results based on different conditions, clearance has slight influence on the angular displacement and angular velocity, but obvious effect on angular acceleration. And with same clearance values of left wing and right wing, the motion consistency of the parallel mechanism is very good, which means the dynamic response of two wings is almost symmetrical. When the two clearance joints have different clearance values, the motion consistency and relative error between two wings are much obvious, especially the angular acceleration.

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References

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

    Article  Google Scholar 

  2. Z. F. Bai and Y. Zhao, Dynamic behavior analysis of planar mechanical systems with clearance in revolute joints using a new hybrid, International J. of Mechanical Science, 54 (2011) 190–205.

    Article  Google Scholar 

  3. Z. F. Bai, Y. Q. Liu and Y. Sun, Investigation on dynamic responses of dual-axis positioning mechanism for satellite antenna considering joint clearance, J. of Mechanical Science and Technology, 29 (2) (2015) 453–460.

    Article  Google Scholar 

  4. M. Machado, P. Moreira, P. Flores and H. M. Lankarani, Compliant contact force models in multibody dynamics: Evolution of the Hertz contact theory, Mechanism and Machine Theory, 53 (2012) 99–121.

    Article  Google Scholar 

  5. S. Yaqubi, M. Dardel, H. M. Daniali and M. H. Ghasemi, Modeling and control of crank-slider mechanism with multiple clearance joints, Multibody System Dynamics, 36 (2) (2016) 143–167.

    Article  MathSciNet  MATH  Google Scholar 

  6. 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 

  7. S. Erkaya, Prediction of vibration characteristics of a planar mechanism having imperfect joints using neural network, J. of Mechanical Science and Technology, 26 (2012) 1419–1430.

    Article  Google Scholar 

  8. X. P. Wang and G. Liu, Modeling and simulation of revolute joint with clearance in planar multi-body systems, J. of Mechanical Science and Technology, 29 (10) (2015) 4113–4120.

    Article  Google Scholar 

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

    Article  Google Scholar 

  10. E. Salahshoor, S. Ebrahimi and M. Maasoomi, Nonlinear vibration analysis of mechanical systems with multiple joint clearances using the method of multiple scales, Mechanism and Machine Theory, 105 (2016) 495–509.

    Article  Google Scholar 

  11. Y. Li, G. Chen, D. Sun, Y. Gao and K. Wang, Dynamic analysis and optimization design of a planar slider-crank mechanism with flexible components and two clearance joints, Mechanism and Machine Theory, 99 (2016) 37–57.

    Article  Google Scholar 

  12. P. Flores and H. M. Lankarani, Dynamic response of multibody systems with multiple clearance joints, J. of Computational and Nonlinear Dynamics, 7 (3) (2012) 636–647.

    Article  Google Scholar 

  13. J. Ma, L. Qian, G. Chen and M. Li, Dynamic analysis of mechanical systems with planar revolute joints with clearance, Mechanism and Machine Theory, 94 (2015) 148–164.

    Article  Google Scholar 

  14. J. Alves, N. Peixinho, M. Tavares da Silva, P. Flores and H. M. Lankarani, A comparative study of the viscoelastic constitutive models for frictionless contact interfaces in solids, Mechanism and Machine Theory, 85 (2015) 172–188.

    Article  Google Scholar 

  15. 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 (1–2) (2013) 325–338.

    Article  Google Scholar 

  16. O. Muvengei, J. Kihiu and B. Ikua, Numerical study of parametric effects on the dynamic response of planar multibody systems with differently located frictionless revolute clearance joints, Mechanism and Machine Theory, 53 (7) (2012) 30–49.

    Article  Google Scholar 

  17. S. Erkaya and I. Uzmay, Modeling and simulation of joint clearance effects on mechanisms having rigid and flexible links, J. of Mechanical Science and Technology, 28 (8) (2014) 2979–2986.

    Article  Google Scholar 

  18. X. P. Wang, G. Liu and S. J. Ma, Dynamic analysis of planar mechanical systems with clearance joints using a new nonlinear contact force model, J. of Mechanical Science and Technology, 30 (4) (2016) 1537–1545.

    Article  Google Scholar 

  19. H. Hertz, Uber die Berührung fester elasticher Körper, J. Reine und Angewandte Mathematik, 92 (1881) 156–171.

    Google Scholar 

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

    Article  Google Scholar 

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

    Article  Google Scholar 

  22. C. S. Liu, K. Zhang and L. 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. G. T. Rooney and K. Deravi, Coulomb friction in mechanism sliding joints, Mechanism and Machine Theory, 17 (1982) 207–211.

    Article  Google Scholar 

  24. X. P. Wang, G. Liu and S. J. Ma, Study on dynamic characteristics of mechanisms with clearance joint, J. Vibration and Shock, 35 (7) (2016) 110–115.

    Google Scholar 

  25. X. P. Wang, G. Liu, S. J. Ma and R. T. Tong, Effects of restitution coefficient and material characteristics on dynamic response of planar multi-body systems with revolute clearance joint, J. of Mechanical Science and Technology, 31 (2) (2017) 587–597.

    Article  Google Scholar 

  26. MDI, Building models in ADAMS/view, Software Handbook (2012).

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Correspondence to Xupeng Wang.

Additional information

Recommended by Associate Editor Sungsoo Na

Bicai Xu is currently an Associate Professor and a Ph.D. candidate at Chengdu University of Technology (CUT), China. He received his M.S. also from CUT. His research interests include algebraic group theory, data mining, analysis and processing.

Xupeng Wang is a Senior Engineer at **’an University of Technology. He received his M.S. at **’an University of technology and Ph.D. at Northwestern Polytechnical University in **’an, China. His research interests include CAD/ CAE, multibody dynamics, contact mechanics, and motion capture.

**aoming Ji is a Professor and Supervisor of Ph.D. students at **’an University of Technology (XUT). He received his M.S. and Ph.D. at XUT. As a founding member, he established the Faculty of Industrial Design in XUT in 1999. His research interests include mechanical CAD/CAM, produce modeling and simulation, innovation design of electromechanical products, computer aided design.

Ruiting Tong is an Associate Professor at Northwestern Polytechnical University, China. He received his M.S. and Ph.D. at Northwestern Polytechnical University in **’an, China. His research interests include multiscale method, contact mechanics, nanoscale friction.

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Xu, B., Wang, X., Ji, X. et al. Dynamic and motion consistency analysis for a planar parallel mechanism with revolute dry clearance joints. J Mech Sci Technol 31, 3199–3209 (2017). https://doi.org/10.1007/s12206-017-0609-z

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  • DOI: https://doi.org/10.1007/s12206-017-0609-z

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