Application de Ia MEF a Ia modelisation dynamique des robots souples

Authors

  • Naoufel Azouz Centre d'Etudes de Mecanique d'lle-de-France, Laboratoire mixte Universite d'Evry, CEA 40 rue du Pelvoux, F-91020 Evry Courcouronnes cedex
  • Madeleine Pascal Centre d'Etudes de Mecanique d'lle-de-France, Laboratoire mixte Universite d'Evry, CEA 40 rue du Pelvoux, F-91020 Evry Courcouronnes cedex
  • Alain Combescure Ecole Normale Superieure de l'Enseignement Technique de Cachan 61, avenue du President Wilson F-94235 Cachan cedex

Keywords:

modal synthesis, incremental scheme, connexion matrix, local connexion reference frame

Abstract

This paper is devoted to the non-linear dynamic analysis of the flexible robots. After substructuration, and by mean of an incremental scheme, the motion of each substructure is defined relatively to a mobile reference configuration. A modal synthesis is thus applied on the increment of rigid motion and of the deformation. This permit to take into account the inertial coupling between the rigid motion and the deformation. An original process is built to link the different substructures. It uses the notions of local connexion reference frame and connexion matrix. The numerical results demonstrate that this formalism is in good agreement with known solutions.

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References

[AMI 88] AMIROUCHE F.M.L., JIA T. « A Pseudo-Uptriangular Decomposition Method for

constrained multibody systems using Kane's equations». Jour. of Guid.,

Control, and Dynamics. Vol.IO, N°7. (1988).

[AZO 94] Azouz N. « Modelisation des structures souples polyarticulees. Application a Ia

simulation des robots». These de Doctorat de l'Universite Paris 6 (1994).

[BAR 83] BARRACO A. « Dynamique des systemes mecaniques deformables ». These de

Doctorat d'Etat, Universite Paris 6 (1983).

[BAT 82] BATIIE K.J. «Finite element procedures in engineering analysis». Prentice-Hall

Inc., Englewood Cliffs (1982).

[CHA 90] CHARVET-QUEMIN F. « Synthese modale des systemes articules en grands

deplacements ».These de Doctorat de l'Universite Paris 6 (1990).

[CLO 80] CLOUGH R.W., PENZIEN J. « Dynamique des structures». Tome I. Editions

Pluralis (1980).

[CUN 91] CUNY B. «Simulation des chaines de transmissions mecaniques et

d'asservissement ». Cours IPSI (1991).

[DOM 88]

[GER 91]

[GIB 88]

[HUS 89]

MB 84]

[MIN 51]

[NAT 80)

[NOR 84]

[PAU 81)

[RAY 90]

[REI 72]

[SHA 85]

[SHA 88]

[SIM 85)

[SIM 87]

[SIN 85]

[SUN 81]

[TOU 84]

[YAC 95]

[WIN 71]

Modelisation dynamique des robots soup1es 791

DOMBRE E., KHALIL W. « Modelisation et commande des robots». Editions

Hermes (1988).

GERADIN M., CARDONNA A. « Modelling of superelements in mechanism

analysis.». Int. Jour. forNum. Meth. in Eng .. Vol. 32- pp. 1565-1593 (1991).

GmERT R.J. « Vibrations des structures». Editions Eyrolles (1988).

HUSTON R.L. «Methods of analysis of constrained multibody systems». Mech.

Struct. and Mach. 17(2). pp. 135-143 (1989).

IMBERT J.F. II Analyse des structures par elements finis". Editions

Cepadues (1984).

MINDLIN R.D. « Influence of rotary inertia and shear on flexural motions of

isotropic elastic plates ». ASME, Jour. of Applied Mech. 18, pp 31-38 (1951 ).

NArn P.K., GosH A. « Kineto-elasto-dynamic analysis of mechanisms by finite

element method». Mech. Mach. Theory. Vol. 15 pp. 179-197 (1980).

NORRIE H., HAYREITIN K. «Finite element Handbook». Mac Graw-Hill

(1987) USA.

PAUL R.P. «Robot manipulators : mathematics programming and control»

MIT Press (1981).

RAY P.S.H., ZHI C.Z. «Dynamics of general flexible multi body systems». Int.

Jour. for Num. Meth. in Eng. Vol. 30, pp.77-97 (1990).

REISSNER E. « On one dimensionnal finite strain beam theory. The plane

problem». Jour. of Appl. Math. Phys. 23, pp.795-804 (1972).

SHABANA A.A. « Substructure synthesis methods for dynamic analysis of

multibody systems». Comp. & Struct. Vol. 20- n°4. pp. 737-744 (1985).

SHABANA A.A. «Dynamics of multibody systems». Edition

Springer-Verlag ( 1988).

SIMO J.C. « A finite strain beam formulation. The three dimensionnal dynamic

problem». Comp. Meth. in Appl. Mech. and Eng. 49, pp. 55-70 (1985).

SIMO J.C. « The role of non-linear theories in transient dynamic analysis of

flexible structures». Jour. of Sound and Vibr. 119, pp. 487-508 (1987).

SINGH R.P., LIKINs P.W. «Singular Value Decomposition for constrained

Dynamical systems». Jour. of Appl. Mech. Vol.52 pp. 943-948. (1985).

SUNADA W.H., DUBOWSKY S. « The application of finite element methods to the

dynamic analysis of flexible spatial and coplanar linkage systems». Jour. of

Mech. design. Vol. 103 (1981).

TOUZOT G., DHAIT G. «Introduction a Ia methode des elements finis».

Editions Dunod (1984).

YACHOU B, PASCAL M., Azouz N. « Commande non lineaire de robots

souples ». 12° Congres Fran~ais de Mecanique. Strasbourg (1995).

WINFREY R.C. «Elastic link mechanism dynamics». Trans. ASME Jour. of

eng. for Indus. pp.268-272 ( 1971 ).

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Published

1998-07-15

How to Cite

Azouz, N. ., Pascal, M. ., & Combescure, A. . (1998). Application de Ia MEF a Ia modelisation dynamique des robots souples. European Journal of Computational Mechanics, 7(7), 763–791. Retrieved from https://journals.riverpublishers.com/index.php/EJCM/article/view/3049

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