Skip to main content
SpringerLink
Log in

Numerical and experimental investigation on multibody systems with revolute clearance joints

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

Abstract

A comprehensive combined numerical and experimental study on the dynamic response of a slider-crank mechanism with revolute clearance joints is presented and discussed in this paper to provide an experimental verification and validation of the predictive capabilities of the multibody clearance joint models. This study is supported in an experimental work in a test rig, which consists of a slider-crank mechanism with an adjustable radial clearance at the revolute joint between the slider and the connecting rod. The motion of the slider is measured with a linear transducer and an accelerometer. Dynamic tests at different operating crank speeds and with several clearance sizes are performed. The maximum slider acceleration, associated with the impact acceleration, is used as a measure of the impact severity. The obtained results demonstrate the dynamical behavior of a multibody mechanical system with a clearance joint. Finally, the correlation between the numerical and experimental results is presented and discussed leading to validated models of clearance revolute joints.

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

Similar content being viewed by others

References

  1. Schwab, A.L.: Dynamics of flexible multibody systems, small vibrations superimposed on a general rigid body motion. Ph.D. Dissertation, Delft University of Technology, Netherlands (2002)

  2. Flores, P.: Dynamic analysis of mechanical systems with imperfect kinematic joints. Ph.D. Dissertation, University of Minho, Guimarães, Portugal (2004)

  3. Koshy, C.S.: Characterization of mechanical systems with real joints and flexible links. Ph.D. Dissertation, Wichita State University, Wichita, KS (2006)

  4. Flores, P., Ambrósio, J., Claro, J.C.P., Lankarani, H.M.: Kinematics and dynamics of multibody systems with imperfect joints: models and case studies. In: Lecture Notes in Applied and Computational Mechanics, vol. 34. Springer, Berlin (2008)

    Google Scholar 

  5. Flores, P., Ambrósio, J., Claro, J.C.P., Lankarani, H.M., Koshy, C.S.: Lubricated revolute joints in rigid multibody systems. Nonlinear Dyn. 56(3), 277–295 (2009)

    Article  MATH  Google Scholar 

  6. Tian, Q., Zhang, Y., Chen, L., Yang, J.: Simulation of planar flexible multibody systems with clearance and lubricated revolute joints. Nonlinear Dyn. 60(4), 489–511 (2010)

    Article  MATH  Google Scholar 

  7. Erkaya S., Uzmay, I.: A neural-genetic (NN-GA) approach for optimising mechanisms having joints with clearance. Multibody Syst. Dyn. 20(1), 69–83 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  8. Erkaya, S., Uzmay, I.: Investigation on effect of joint clearance on dynamics of four-bar mechanism. Nonlinear Dyn. 58(1–2), 179–198 (2009)

    Article  MATH  Google Scholar 

  9. Ambrósio, J., Verissimo, P.: Improved bushing models for general multibody systems and vehicle dynamics. Multibody Syst. Dyn. 22, 341–365 (2009)

    Article  MATH  Google Scholar 

  10. 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 

  11. 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)

    Article  Google Scholar 

  12. Mukras, S., Kim, N.H., Mauntler, N.A., Schmitz, T.L., Sawyer, W.G.: Comparison between elastic foundation and contact force models in wear analysis of planar multibody system. J. Tribol. 132(3), 031604-1-11 (2010)

    Article  Google Scholar 

  13. Flores, P., Ambrósio, J., Claro, J.C.P., Lankarani, H.M.: Dynamics of multibody systems with spherical clearance joints. J. Comput. Nonlinear Dyn. 1(3), 240–247 (2006)

    Article  Google Scholar 

  14. 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)

    Article  Google Scholar 

  15. Dong, X., Jin-Song, Ye, J., Xiao-Feng, H.: Kinetic uncertainty analysis of the reheat-stop-valve mechanism with multiple factors. Mech. Mach. Theory 45(11), 1745–1765 (2010)

    Article  MATH  Google Scholar 

  16. Dubowsky, S., Moening, M.F.: An experimental and analytical study of impact forces in elastic mechanical systems with clearances. Mech. Mach. Theory 13, 451–465 (1978)

    Article  Google Scholar 

  17. Grant, S.J., Fawcett, J.N.: Effects of clearance at the coupler-rocker bearing of a 4-bar linkage. Mech. Mach. Theory 14, 99–110 (1979)

    Article  Google Scholar 

  18. Dubowsky, S., Norris, M., Aloni, E., Tamir, A.: An analytical and experimental study of the prediction of impacts in planar mechanical systems with clearances. J. Mech. Transm. Autom. Des. 106, 444–451 (1984)

    Article  Google Scholar 

  19. Haines, R.S.: An experimental investigation into the dynamic behaviour of revolute joints with varying degrees of clearance. Mech. Mach. Theory 20(3), 221–231 (1985)

    Article  MathSciNet  Google Scholar 

  20. Bengisu, M.T., Hidayetoglu, T., Akay, A.: A theoretical and experimental investigation of contact loss in the clearances of a four-bar mechanism. J. Mech. Transm. Autom. Des. 108, 237–244 (1986)

    Article  Google Scholar 

  21. Soong, K., Thompson, B.S.: A theoretical and experimental investigation of the dynamic response of a slider-crank mechanism with radial clearance in the gudgeon-pin joint. J. Mech. Des. 112, 183–189 (1990)

    Article  Google Scholar 

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

    Article  MATH  Google Scholar 

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

    Article  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  25. Flores, P., Ambrósio, J., Claro, J.C.P., Lankarani, H.M.: Influence of the contact-impact force model on the dynamic response of multi-body systems. Multibody Syst. Dyn. 220, 21–34 (2006)

    Google Scholar 

  26. Flores, P., Ambrósio, J., Claro, J.P.: Dynamic analysis for planar multibody mechanical systems with lubricated joints. Multibody Syst. Dyn. 12, 47–74 (2004)

    Article  MATH  Google Scholar 

  27. Flores, P., Ambrósio, J.: Revolute joints with clearance in multibody systems. Comput. Struct. 82, 1359–1369 (2004)

    Article  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  29. Nikravesh, P.E.: Computer Aided Analysis of Mechanical Systems. Prentice Hall, Englewood Cliffs (1988)

    Google Scholar 

  30. Nikravesh, P.E.: Initial condition correction in multibody dynamics. Multibody Syst. Dyn. 18, 107–115 (2007)

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  32. Flores, P., Seabra, E.: Influence of the Baumgarte parameters on the dynamics response of multibody mechanical systems. Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 16(3), 415–432 (2009)

    MathSciNet  MATH  Google Scholar 

  33. Flores, P., Machado, M., Seabra, E., Silva, M.T.: A parametric study on the Baumgarte stabilization method for forward dynamics of constrained multibody systems. J. Comput. Nonlinear Dyn. 6(1), 011019-9 (2011)

    Article  Google Scholar 

  34. Shampine, L., Gordon, M.: Computer Solution of Ordinary Differential Equations: The Initial Value Problem. Freeman, San Francisco (1972)

    Google Scholar 

  35. 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 

  36. Goldsmith, W.: Impact: The Theory and Physical Behaviour of Colliding Solids. Arnold, London (1960)

    MATH  Google Scholar 

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

    Article  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

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

    Google Scholar 

  40. 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., Part K, J. Multi-Body Dyn. 221(2), 161–174 (2007)

    Google Scholar 

  41. Machado, M., Flores, P., Claro, J.C.P., Ambrósio, J., Silva, M., Completo, A., Lankarani, H.M.: Development of a planar multi-body model of the human knee joint. Nonlinear Dyn. 60(3), 459–478 (2010)

    Article  MATH  Google Scholar 

  42. Flores, P., Ambrósio, J.: On the contact detection for contact-impact analysis in multibody systems. Multibody Syst. Dyn. 24(1), 103–122 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  43. 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 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, University of Minho, Campus de Azurém, 4800-058, Guimarães, Portugal

    P. Flores & J. C. P. Claro

  2. Department of Mechanical Engineering, Wichita State University, Wichita, KS, 67260-133, USA

    C. S. Koshy & H. M. Lankarani

  3. Departamento de Engenharia Mecânica, Instituto Superior Técnico, IST/IDMEC, Av. Rovisco Pais, 1, 1049-001, Lisbon, Portugal

    J. Ambrósio

Authors
  1. P. Flores
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. C. S. Koshy
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. H. M. Lankarani
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. J. Ambrósio
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. J. C. P. Claro
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to P. Flores.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Flores, P., Koshy, C.S., Lankarani, H.M. et al. Numerical and experimental investigation on multibody systems with revolute clearance joints. Nonlinear Dyn 65, 383–398 (2011). https://doi.org/10.1007/s11071-010-9899-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-010-9899-8

Keywords

Search

Navigation