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Approximate Analysis of Flexible Parts in Multibody Systems Using the Finite Element Method

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Book cover Advanced Multibody System Dynamics

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 20))

Abstract

An easy applicable procedure for the approximate analysis of a flexible body in a multibody system (MBS) is presented. It is based on the major assumptions that the elastic deformations in the MBS are small and that their effect upon the large motion of the MBS is negligible. It can be carried out using a standard code for the analysis of rigid multibody systems and a nonlinear general purpose finite element program which has to be extended, so that the inertia forces and the constraint forces acting on the examined body can be applied. Deformations and stresses are calculated for some examples, also including the effects of dynamic coupling and dynamic stiffening as well as contact problems.

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References

  1. Bathe, K. J.: Finite-Elemente-Methoden. Berlin,Chwr(133), 1986.

    Google Scholar 

  2. Bathe, K. J.; Chaudhary, A. B.: A Solution Method for Planar and Axisymmetric Contact Problems. Int. J. Numer. Meth. Engng., Vol. 21, pp. 65–88, 1985.

    Article  MATH  Google Scholar 

  3. Botz, M.: Zur Dynamik von Mehrkörpersystemen mit elastischen Balken. Dissertation, Technische Hochschule Darmstadt, 1992.

    Google Scholar 

  4. Brebbia, C. A. (Ed.): Finite Element Systems. Berlin,Chwr(133), 1985.

    Google Scholar 

  5. CADSI: DADS Users Manual, Rev. 5. 0. Computer Aided Design Software, Oakdale, IA, 1988.

    Google Scholar 

  6. Chaudhary, A. B.; Bathe, K. J.: A Solution Method for Static and Dynamic Analysis of Three-Dimensional Contact Problems with Friction. Computers and Structures, Vol. 24, pp. 855–873, 1986.

    Article  MATH  Google Scholar 

  7. Hagedorn, P.: Quasi-comparison functions in the dynamics of elastic multi-body systems. Eigth VPI and SU Symposium on Dynamics and Control of Large Structures, May 6–8, 1991, Blacksburg, Virginia, USA.

    Google Scholar 

  8. Jahnke, M.: Analysis of Flexible Parts in Multibody Systems Using the Finite Element Method. Proc. 8th World Congress on the Theory of Machines and Mechanisms, 26–31 Aug. 1991, Prague, Czechoslovakia.

    Google Scholar 

  9. Jahnke, M.: Benutzeranleitung. Zur Untersuchung elastischer Teile in Mehrkörpersystemen mit Hilfe des erweiterten Finite-Elemente-Programms SOLVIA. Hannover: Universität Hannover, Institut für Mechanik, 1992.

    Google Scholar 

  10. Jahnke, M.: Theoriebericht: Erweiterungen des Finite-Elemente-Programms SOLVIA zur Berechnung elastischer Körper in Mehrkörpersystemen. Hannover: Universität Hannover, Institut für Mechanik, 1991.

    Google Scholar 

  11. Kane, T. R.; Ryan, R. R.; Banerjee, A. K.: Dynamics of a Cantilever Beam Attached to a Moving Base. J. Guidance, Vol. 10, No. 2, March-April 1987.

    Google Scholar 

  12. Koppens, W. P.: The Dynamics of Systems of Deformable Bodies. Ph. D. thesis, Technische Universiteit Eindhoven, Netherlands, 1989.

    Google Scholar 

  13. Kreuzer, E.; Schiehlen, W.: NEWEUL - Software for the Generation of Symbolical Equations of Motion. In 1171.

    Google Scholar 

  14. Leister, G.: Programmpaket NEWSIM. Stuttgart: Universität Stuttgart, Institut B für Mechanik, Anleitung AN-22, 1989.

    Google Scholar 

  15. Meirovitch, L.; Kwak, M. K.: Convergence of the Classical Rayleigh-Ritz Method and the Finite Element Method. AIAA J., Vol. 28, No. 8, 1990.

    Google Scholar 

  16. Popp, K.; Dirr, B.; Jahnke, M.: Analysis of Flexible Parts in Multi-Body Systems Using Finite Element Methods. Proc. 8th VPIandSU Symposium on Dynamics and Control of Large Structures, 6–8 May 1991, Blacksburg, Virginia, USA.

    Google Scholar 

  17. Schiehlen, W. (Ed.): Multibody Systems Handbook. Berlin,Chwr(133), 1990.

    Google Scholar 

  18. SOLVIA: Users Manual for Stress Analysis, Report SE 90–1. SOLVIA Engng. AB, S-72214 Västeras, Sweden.

    Google Scholar 

  19. Sorge, K.: Benchmark-Problem: Ebener Roboter mit zwei Freiheitsgraden. In: Benchmark-Beispiele des DFG-Schwerpunktprogrammes “Dynamik von Mehrkörpersystemen” (Eds. Leister, G.; Schiehlen, W.), Zwischenbericht ZB-64, Stuttgart: Universität Stuttgart, Institut B für Mechanik, 1991.

    Google Scholar 

  20. Wallrapp, 0.: Geometric Stiffness Influence in Linearized Flexible Multibody Systems. Proc. 8th IMAC Conf., 29 Jan. to 1 Feb. 1990, Florida.

    Google Scholar 

  21. Wallrapp, 0.; Santos, J.; Ryu, J.: Superposition Method for Stress Stiffening in Flexible Multibody Dynamics. Proc. Int. Conf. Dynamics of Flexible Structures in Space, 15–18 May 1990, Cranfield, Bedford, UK.

    Google Scholar 

  22. Yoo, W. S.; Haug, E. J.: Dynamics of Flexible Mechanical Systems Using Vibration and Static Correction Modes. J. Mech. Trans. Auto. Des., Vol. 108, pp. 315–322, 1986.

    Article  Google Scholar 

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© 1993 Springer Science+Business Media Dordrecht

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Jahnke, M., Popp, K., Dirr, B. (1993). Approximate Analysis of Flexible Parts in Multibody Systems Using the Finite Element Method. In: Schiehlen, W. (eds) Advanced Multibody System Dynamics. Solid Mechanics and Its Applications, vol 20. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0625-4_12

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  • DOI: https://doi.org/10.1007/978-94-017-0625-4_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4253-8

  • Online ISBN: 978-94-017-0625-4

  • eBook Packages: Springer Book Archive

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