Cross-section deformation in the absolute nodal coordinate formulation

Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005

Volumn 6 B, Issue , 2005, Pages 1269-1275

  Sugiyarna, Hiroyuki ^a   Gerstmayr, Johannes ^b   Shabana, Ahmed A ^a  

^a 1120 Science and Engineering Offices   (United States)

^b JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

COORDINATE SYSTEM; CROSS-SECTION DEFORMATION MODES; STRAIN COMPONENTS;

DYNAMICS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; PROBLEM SOLVING;

STRAIN;

EID: 33244475129     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (19)

1. Shabana, A. A. and Yakoub, R. Y., 2001, "Three Dimensional Absolute Nodal Coordinate Formulation for Beam Elements", ASME Journal of Mechanical Design, vol. 123, pp. 606-621.
2. Bonet, J. and Wood, R.D., 1997, Nonlinear Continuum Mechanics for Finite Element Analysis, University Press, Cambridge.
3. Sugiyama, H., and Shabana, A. A., 2004, "On the Use of Implicit Integration Methods and the Absolute Nodal Coordinate Formulation in the Analysis of Elasto-Plastic Deformation Problems", Nonlinear Dynamics, vol. 37, pp. 245-270.
4. Garcia-Vallejo, D., Mayo, J., Escalona, J. L. and Dominguez, J., 2004, "Efficient Evaluation of the Elastic Forces and the Jacobian in the Absolute Nodal Coordinate Formulation", Nonlinear Dynamics, vol. 35, pp. 313-329.
5. Christensen, A.P. and Shabana, A. A., 1998, "Exact Modeling of the Spatial Rigid Body Inertia Using the Finite Element Method", ASME Journal of Vibration and Acoustics, vol. 120, pp. 650-657.
6. Von Dombrowski, S., 2002, "Analysis of Large Flexible Body Deformation in Multibody Systems Using Absolute Coordinates", Multibody System Dynamics, vol. 8, pp. 409-432.
7. Dmitrochenko, O. N. and Pogorelov, D. Y., 2003, "Generalization of Plate Finite Elements for Absolute Nodal Coordinate Formulation", Multibody System Dynamics, vol. 10, pp. 17-43.
8. Sugiyama, H., Gerstmayr, J. and Shabana, A. A., 2005, "Deformation Modes of the Finite Element CrossSection", Technical Report # MBSOS-2-UIC, Department of Mechanical Engineering, University of Illinois at Chicago.
9. Simo, J. C. and Vu-Quoc, L., 1986, "Three-Dimensional Finite-Strain Rod Model. Part II: Computational Aspects." Computer Methods in Applied Mechanics and Engineering, vol. 58, pp. 79-116.
10. Cardona, A. and Geradin, M., 1988, "A Beam Finite-Element Non-Linear Theory with Finite Rotations", International Journal for Numerical Methods in Engineering, vol. 26, pp. 2403-2438.
11. Ibrahimbegovic, A., 1995, "On Finite Element Implementation of Geometrically Nonlinear Reissner's Beam Theory: Three-Dimensional Curved Beam Elements", Computer Methods in Applied Mechanics and Engineering, vol. 122, pp. 11-26.
12. Sugiyama, H., Escalona, J. L. and Shabana, A. A., 2003, "Formulation of Three-Dimensional Joint Constraints Using the Absolute Nodal Coordinates", Nonlinear Dynamics, vol. 31, pp. 167-195.
13. Sopanen, J. T. and Mikkola, A. M., 2003, "Description of Elastic Forces in Absolute Nodal Coordinate Formulation", Nonlinear Dynamics, vol. 34, pp. 53-74.
14. Greenberg, M. D., 1998, Advanced Engineering Mathematics, 2nd, Prentice Hall, Upper Saddle River, N.J.
15. Reissner, E., 1981, "On finite Deformations of Space-Curved Beams", Journal of Applied Mathematics and Physics (ZAMP), vol. 32, pp. 734-744.
16. García de Jalon, J. and Bayo, E., 1994, Kinematic and Dynamic Simulation of Multibody Systems, Springer-Verlag, New York.
17. Iwai, R. and Kobayashi, N., 2003, "A New Flexible Multibody Beam Element Based on the Absolute Nodal Coordinate Formulation Using the Global Shape Function and the Analytical Mode Shape Function", Nonlinear Dynamics, vol. 34, pp. 207-232.
18. Shabana, A. A., Hussien, H. A. an Escalona, J. L., 1998, "Application of the Absolute Nodal Coordinate Formulation to Large Rotation and Large Deformation Problems", ASME Journal of Mechanical Design, vol. 120, pp. 188-195.
19. Sugiyama, H., and Shabana, A. A., 2004, "Application of Plasticity Theory and Absolute Nodal Coordinate Formulation to Flexible Multibody System Dynamics", ASME Journal of Mechanical Design, vol. 126, pp. 478-487.