Skip to main content
SpringerLink
Log in

Numerical and experimental studies on impact dynamics of a planar flexible multibody system

  • Research Paper
  • Published:
Acta Mechanica Sinica Aims and scope Submit manuscript

Abstract

In this paper a computational methodology on impact dynamics of the flexible multibody system is presented. First, the floating frame of reference approach and nodal coordinates on the basis of finite element formulation are used to describe the kinematics of planar deformable bodies. According to the kinematic description of contact conditions, the contact constraint equations of planar flexible bodies are derived. Based on the varying topology technique the impact dynamic equations for a planar multibody system are established. Then the initial conditions of the equations in each contact stage are determined according to the discontinuity theory in continuum mechanics. The experiments between the aluminum rods are performed to check the correctness of the proposed method. Through the comparison between the numerical and experimental results the proposed method is validated. Experimental results also show that the impulse momentum method cannot accurately predict the complex impact dynamic phenomena and the continuous model may lead to a serious error when used to simulate the impact problems with significant wave propagation effects.

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. Chen M., Chen L.P., Zhang X.F. et al.: Research and dynamic simulation of docking locks with contact-impact. Aerosp. Sci. Technol. 7, 364–372 (2003)

    Article  Google Scholar 

  2. Liu J.Y., Hong J.Z.: Impact with multiple contact points of the flexible multibody system and closed loops. China Mech. Eng. 11(6), 618–624 (2000) (in Chinese)

    Google Scholar 

  3. Pfeiffer F., Glocker C.: Contacts in multibody systems. J. Appl. Math. Mech. 64(5), 773–782 (2000)

    Article  Google Scholar 

  4. Flores P., Ambrosio J.: Revolute joints with clearance in multibody system. Comput. Struct. 82, 1359–1369 (2004)

    Article  Google Scholar 

  5. Huag E., Wu S.C., Yang S.M.: Dynamics of mechanical systems with Coulomb, friction, stiction, impact and constraint addition-deletion-I. Mech. Mach. Theory 21(5), 401–406 (1986)

    Article  Google Scholar 

  6. Liu Y.Z.: Three-dimensional impact of a rigid ellipsoid on fixed surface with friction. Acta Mech. Sin. 29(6), 726–732 (1997) (in Chinese)

    Google Scholar 

  7. Zhang D.G.: A standard solution for the dynamics of multi-point collision. Acta Mech. Sin. 30(2), 252–256 (1998) (in Chinese)

    Google Scholar 

  8. Wang D., Conti C., Beale D.: Interface impact analysis of multibody system. ASME J. Mech. Des. 121, 128–135 (1999)

    Article  Google Scholar 

  9. Chang C.C., Houston R.: Collisions of multibody systems. Comput. Mech. 27, 436–444 (2001)

    Article  MATH  Google Scholar 

  10. Stoianovici D., Hurmuzlu Y.: A critical study of the applicability of rigid body collision theory. ASME J. Appl. Mech. 63(2), 307–316 (1996)

    Article  Google Scholar 

  11. Khulief Y.A., Shabana A.A.: A continuous force model for the impact analysis of flexible multibody system. Mech. Mach. Theory 22(3), 213–224 (1987)

    Article  Google Scholar 

  12. Lankarani H.M., Nikravesh P.E.: Continuous contact force models for impact analysis in multibody system. Nonlinear Dyn. 5, 193–207 (1994)

    Google Scholar 

  13. Liu C.S., Chen B.: The oblique impact dynamic study for a flexible beam undergoing large overall motion. Acta Mech. Sin. 32(4), 457–465 (2000) (in Chinese)

    Google Scholar 

  14. Yigit A.S.: On the use of an elastic–plastic contact law for the impact of a single flexible link. J. Dyn. Syst. Meas. Control 117(4), 527–533 (1995)

    Article  MATH  Google Scholar 

  15. Diolaiti N., Melchioorri C., Stramigioli S.: Contact impedance estimation for robotic system. IEEE Trans. Robotics 21(5), 925–935 (2005)

    Article  Google Scholar 

  16. Hong J.Z., Ni C.S.: Global dynamics simulation of multibody system with variable topology. Acta Mech. Sin. 28(5), 633–637 (1996) (in Chinese)

    Google Scholar 

  17. Hong J.Z.: Computational Dynamics of Multibody System, pp. 348–357. Higher Education Press, Beijing (1999) (in Chinese)

    Google Scholar 

  18. Shabana A.A.: Dynamics of Multibody Systems, pp. 191–269. Cambridge University Press, Cambridge (1998)

    MATH  Google Scholar 

  19. Klisch T.: Contact mechanics in multibody system. Multibody Syst. Dyn. 2, 335–354 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  20. Oden J.T., Reddy J.N.: Variational Methods in Theoretical Mechanics, pp. 73–83. Springer, Berlin (1983)

    MATH  Google Scholar 

  21. Hughes T.J.R., Taylor R.L., Sackman J.L. et al.: A finite method for a class of contact-impact problems. Comput. Methods Appl. Eng. 8, 249–276 (1976)

    Article  MATH  Google Scholar 

  22. Hu B., Eberhard P.: Simulation of longitudinal impact waves using time delay. ASME J. Dyn. Syst. Meas. Control 126, 644–649 (2004)

    Article  Google Scholar 

  23. Seifried R., Schiehlen W., Eberhard P.: Numerical and experimental evaluation of the coefficient of restitution for repeated impacts. Int. J. Impact Eng. 32, 508–524 (2005)

    Article  Google Scholar 

  24. Shen L.J., Guo Q.W., Liu J.Y.: Dynamic modeling and experimental technique for a flexible beam with cylindrical contact. J. Dyn. Control 5(2), 148–152 (2007) (in Chinese)

    Google Scholar 

  25. Sheng L.W., Liu J.Y., Yu Z.Y.: Dynamic modeling of flexible multibody system with elastic impact. J. Shanghai Jiaotong Univ. 40(10), 1790–1797 (2006) (in Chinese)

    Google Scholar 

  26. Hunt K.H., Crossley F.R.E.: Coefficient of restitution interpreted as damping in vibroimpact. ASME J. Appl. Mech. 42, 440–445 (1975)

    Article  Google Scholar 

  27. Johnson K.L.: Contact Mechanics, pp. 96–122. Cambridge University Press, Cambridge (1985)

    MATH  Google Scholar 

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

    Article  Google Scholar 

  29. Goldsmith W.: Impact-Theory and Physical Behavior of the Colliding Solids, pp. 22–50. Arnold and Publishers, London (1960)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Engineering Mechanics, Shanghai Jiaotong University, 200240, Shanghai, China

    Fu-Xiang Dong, Jia-Zhen Hong, Kun Zhu & Zheng-Yue Yu

Authors
  1. Fu-Xiang Dong
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jia-Zhen Hong
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Kun Zhu
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Zheng-Yue Yu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Fu-Xiang Dong.

Additional information

The project was supported by the National Natural Science Foundation of China (10772113).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dong, FX., Hong, JZ., Zhu, K. et al. Numerical and experimental studies on impact dynamics of a planar flexible multibody system. Acta Mech Sin 26, 635–642 (2010). https://doi.org/10.1007/s10409-010-0359-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10409-010-0359-y

Keywords

Search

Navigation