A special finite element for static and dynamic study of mechanical systems under large motion, part 1

Revue Europeenne des Elements

Volumn 11, Issue 6, 2002, Pages 773-790

  Barraco, André ^a   Munteanu, Mircea Gh ^b  

^a CNRS   (France)

^b TRANSILVANIA UNIVERSITY OF BRASOV   (Romania)

Author keywords

Finite element method; Large motion; Mechanical systems

Indexed keywords

EULER EQUATIONS; FINITE ELEMENT METHOD; MECHANICAL ENGINEERING; ROTATION;

DYNAMIC STUDIES; EULER-RODRIGUES PARAMETERS; LARGE MOTION; LARGE ROTATION; MECHANICAL SYSTEMS; MOVEMENT EQUATIONS; SPECIAL FINITE ELEMENTS; VARIATIONAL FORMULATION;

MECHANICS;

EID: 84900870231     PISSN: 12506559     EISSN: None     Source Type: Journal    
DOI: 10.3166/reef.11.773-790     Document Type: Article

References (27)

1. [BAR 96] BARRACO A., .Dynamique des systèmes mécaniques complexes., ENSAM, Centre d.enseignement et de recherche de Paris, 1996.
2. [BAR 99] BARRACO A., GILBERT M., .Quasi exact solutions for some elastodynamics problems., Proceedings of the 1999 ASME Design Engineering Technical Conferences September 12-15, Las Vegas, Nevada, 4 pp., 1999.
3. [BAR 00] BARRACO A., .Mécanique des structures., ENSAM, Centre d.enseignement et de recherche de Paris, 2000.
4. [BER 99] BERZERI M., CAMPANELLI M., SHABANA A. A., .Elastic Forces and Coordinate Systems in the Finite Element Formulations., Proceedings of the 1999 ASME Design Engineering Technical Conferences September 12-15, Las Vegas, Nevada, 8 pp., 1999.
5. [CAR 88] CARDONA A., GERADIN M., .A beam Finite Element Non-Linear Theory with Finite Rotations., International Journal for Numerical Methods in Engineering, Vol. 26, pp. 2403-2438, 1988.
6. [DVO 88] DVORKIN E. N., ONATE E., OLIVIER J., .On A Non-linear Formulation for Curved Timoshenko Beam Elements Considering Large Displacement/Rotation Increments., Int. Journal for Numerical Methods in Engineering, Vol. 26, pp. 1597-1613, 1988.
7. [GIL 97] GILBERT M., Problèmes liés à l.intégration numérique des équations de la dynamique des systèmes déformables, Thèse de doctorat ENSAM, No 1997-32, 1997.
8. [GRI 84] GRINER G. M., .A Parametric Solution to the Elastic Pole-Vaulting Pole Problem., Journal of Applied Mechanics, Vol. 51, June, pp. 409-414, 1984.
9. [HOG 90] HODGES D. H., .A mixed variational formulation based on exact intrinsic equations for dynamics of moving beams., Int. J. Solids Structures, Vol. 26, No 11, pp. 1253-1273, 1990.
10. [IUR 95] IURA M., ALTURI N., .Dynamic Analysis of Planar Flexible Beams with Finite Rotations by using Inertial and Rotational Frames., Computers & Structures, Vol. 55, No. 3, pp. 453-462, 1995.
11. [MIK 97] MIKHAD M. AL., IBRAHIMBEGOVIC A., .Dynamique et schémas d.intégration pour modèles de poutres géomé triquement exacts., Revue européenne des éléments finis, Vol. 6, No. 4, pp. 471-502, 1997.
12. [MIT 59] MITCHELL T.P., .The Nonlinear Bending of Thin Rods., J. Appl. Mech.,Vol. 26, ASME, E, Vo1. 81, pp. 40-43, 1959.
13. [MUN 96] MUNTEANU M. GH., DE BONA F., ZELENIKA S., .An accurate non-linear analysis of very large displacements of beam systems., Proceedings of the XXV AIAS National Conference, International Conference on Material Engineering, Gallipoli-Lecce, pp. 59- 66, 1996.
14. [MUN 00] MUNTEANU M. GH., BARRACO A., CURTU I., DE BONA F., .Experimental Validation of a Special Finite Element Type., Proceedings of the Danubia-Adria Symposium, Prague, pp. 229-232, 2000.
15. [NAV 92] NAVAEE S., ELLING R. E., .Equilibrium Configurations of Cantilever Beams Subjected to Inclined End Loads., Journal of Applied Mechanics, Sept, pp. 572-579, 1992.
16. [PAN 86] PANAYOTOUNAKOS D. E., THEOCARIS P. S., .Exact Solution for an Approximate Differential Equation of a Straight Bar under Conditions of a Non-linear Equilibrium., Int. Journal of Nonlinear Mechanics Vol. 21, pp. 421-429, 1986.
17. [PAN 96] PAN H. H., .On The Nonlinear Bending of Curved Thin Rods., Journal of Applied Mechanics, March, pp. 209-212, 1996.
18. [RED 81] REDDY J. N., SINGH I. R., .Large Deflections and Large Amplitude Free Vibrations of Straight and Curved Beams., Int. Journal for Numerical Methods in Engineering, Vol. 17, pp. 829-852, 1981.
19. [REI 73] REISSNER E, .On one dimensional large displacement finite strain beam theory., Studies Appl. Math. 52, pp. 87-95, 1973.
20. [SAJ 91] SAJE M., .Finite Element Formulation of Finite Planar Deformation of Curved Elastic Beams., Computers & Structures, Vol. 39, No 3/4, pp. 327-337, 1991.
21. [SHA 98] SHABANA A. A., HUSSIEN H. A., ESCALONA J. L., .Application of the Absolute Nodal Coordinate Formulation to Large Rotation and Large Deformation Problems., ASME, Journal of Mechanical Design, Vol. 120, pp. 188-195, 1998.
22. [SIM 86] SIMO J.C., VU-QUOC L., .On the dynamics of Flexible Beams Under Large Overall Motions. The Plane Case., Journal of Applied Mechanics, Vol 53, pp. 855-863, 1986.
23. [SIM 88] SIMO J.C., VU-QUOC L., .On the dynamics in space of rods undergoing large motions. a geometric exact approach., Comput. Meth. Appl. Mech. Eng. 66, pp. 125-161, 1988.
24. [TAK 99] TAKAHASHI Y., SHIMIZU N., .Study on Elastic Forces of the Absolute Nodal Coordinate Formulation for Deformable Beams., Proceedings of the 1999 ASME Design Engineering Technical Conferences September 12-15, Las Vegas, Nevada, 9 pp., 1999.
25. [TAN 93] TAN Z., WITZ J. A., .On the Flexural-Torsional Behavior of a Straight Elastic Beam Subject of Terminal Moments., Journal of Applied Mechanics, Vol. 60, June, pp. 498- 505, 1993.
26. [THE 82] THEOCARIS P. S., PANYOTOUNAKOS D. E., .Exact Solution of the Nonlinear Differential Equation Concerning the Elastic Line of a Straight Rod due to Terminal Loading., Int. Journal of Nonlinear Mechanics Vol. 17, pp. 395-402, 1982.
27. [TIM 61] TIMOSHENKO S. P., .Theory of Elastic Stability., McGraw-Hill Book Company, New York, 1961.