Skip to main content
Log in

Non-linear flexible body analysis for mechanical systems

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

Component mode synthesis method considers only small deformation problems and cannot handle large deformation problems. This paper presents an improved mode synthesis method. Mild geometric nonlinear problems have been solved by considering nonlinear effects in the stiffness matrix.

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.

Similar content being viewed by others

References

  1. A. A. Shabana, Substructure synthesis methods for dynamic analysis of multibody systems, Computer & Structures 20(4) (1985).

  2. J. Garcia de Jalon, J. Unda and A. Avello, Natural coordinates for the computer analysis of three dimensional multi-body systems, Computer Methods in applied mechanics and Engineering 56 (1985) 309–327.

    Article  Google Scholar 

  3. N. Vukasovic, J. T. Celigueta, J. Garcia de Jalon and E. Bayo, Flexible multibody dynamics based on a fully Cartesian system of support coordinates, Journal of Mechanical Design 115 (1993) 294–229.

    Article  Google Scholar 

  4. S. S. Kim and E. J. Haug, A recursive formulation for flexible multibody dynamics: part I. Open loop systems, Computer Methods in Applied Mechanics and Engineering 71 (1998) 293–341.

    Article  MathSciNet  Google Scholar 

  5. W. C. Hurty, Dynamic analysis of structural systems using component modes, AIAA Journal 3(4) (1965) 678–685.

    Article  Google Scholar 

  6. R. R. Craig and M. C. C. Bampton, Coupling of substructures for dynamics analyses, AIAA Journal, 6(7) (1968) 1313–1319.

    Article  MATH  Google Scholar 

  7. W. S. Yoo and E. J. Haug, Dynamics of flexible mechanical systems using variation and static correction modes, Journal of Mechanisms and Transmissions and Automation in Design 108 (1985) 315–322.

    Article  Google Scholar 

  8. H. T. Wu and N. K. Mani, Modeling of flexible bodies for multibody dynamic systems using Ritz vectors, Journal of Mechanical Design 116 (1994) 437–444.

    Article  MATH  Google Scholar 

  9. D. S. Bae and J. M. Han, An implementation method for constrained flexible multibody dynamics using a virtual body and joint. Multibody System Dynamics 4 (2000) 297–315.

    Article  MATH  Google Scholar 

  10. J. Wittenburg, Dynamics of systems of rigid bodies, Teubner, Stuttgart (1977).

    Book  MATH  Google Scholar 

  11. E. J. Haug, Computer aided Kinematics and dynamics of mechanical systems, Vol1: Basic Methods, Allyn and Bacon, Newton, MA. (1989).

    Google Scholar 

  12. I. H. Shames and C. L. Dym, Energy and finite element methods in structural mechanics, McGraw-Hill, New York (1985).

    MATH  Google Scholar 

  13. E. J. Haug and M. K. McCullough, A variational-vector calculation approach to machine dynamics, J. Mech. Trans. Auto. Des. 108 (1986) 25–30.

    Article  Google Scholar 

  14. O. C. Zinekiewicz, The finite element method, 3rd ed., McGraw-Hill, New York (1977).

    Google Scholar 

  15. S. -C. Wu, E. J. Haug and S. -S. Kim, A variational approach to dynamics of flexible multibody systems, Mech. Struct. & Mach., 17(1) (1989) 3–32.

    Article  MathSciNet  Google Scholar 

  16. T. R. Chandrupatla and A. D. Belegundu, Introduction to finite elements in engineering, 3rd ed., Prentice Hall (2002).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to D. H. Bae.

Additional information

Recommended by Guest Editor Dong-Ho Bae

Dong Hee Bae received his B.S. degree and his M.S. degree in Department of Mechanical Engineering, Hanyang University, in 2010 and 2012, respectively. He has been working as a researcher in Solver Team, R&D Center, Virtual Motion, Korea, since 2012. His research interests include multibody dynamics and F.E.M.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bae, D.H., Lee, C.H. & Bae, D.S. Non-linear flexible body analysis for mechanical systems. J Mech Sci Technol 26, 2159–2162 (2012). https://doi.org/10.1007/s12206-012-0536-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-012-0536-y

Keywords

Navigation