Application of the absolute nodal coordinate formulation to large rotation and large deformation problems

Journal of Mechanical Design, Transactions of the ASME

Volumn 120, Issue 2, 1998, Pages 188-195

  Shabana, A A ^a   Hussien, H A ^a   Escalona, J L ^b  

^a 1120 Science and Engineering Offices   (United States)

^b UNIVERSITY OF SEVILLE   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; PROBLEM SOLVING; STIFFNESS MATRIX;

ABSOLUTE NODAL COORDINATE FORMULATION; ELEMENT COORDINATES;

STRUCTURAL ANALYSIS;

EID: 0032098990     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2826958     Document Type: Article

References (14)

1. Belytschko, T., and Hsieh, B. J., 1973, “Nonlinear Transient Finite Element Analysis with Convected Coordinates,” International Journal for Numerical Methods in Engineering, Vol. 7, pp. 255-271.
2. Belytschko, T., and Hughes, T. J. R., 1983, Computational Methods for Transient Analysis, Elsvier Science Publishers.
3. Cardona, A., and Geradin, M., 1991, “Modeling of Superelements in Mechanism Analysis,” International Journal for Numerical Methods in Engineering, Vol. 32, No. 8, pp. 1565-1593.
4. Flanagan, D. P., and Taylor, L. M., 1987, “An Accurate Numerical Algorithm for Stress Integration with finite Rotations,” Computer Methods in Applied Mechanics and Engineering, Vol. 62, pp. 305-320.
5. Geradin, M., Cardona, A., Doan, D. B., and Duysens, J., 1994, “Finite Element Modeling Concepts in Multibody Dynamics,” Computer Aided Analysis of Rigid and Flexible Mechanical Systems, M. F. O. S. Pereira, and J. Ambrosio, eds., Kluwer Academic Publishers, pp. 233-284.
6. Hallquist, J. O., 1979, “NIKE 2D: An Implicit Finite Deformation, Finite Element Code for Analyzing the Static and Dynamic Response of Two-Dimensional Solids,” Report UCRL-52678, Lawrence Livermore Laboratory, University of California.
7. Hughes, T. J. R., and Winget, J., 1980, “Finite Rotation Effects in Numerical Integration of Rate Constitutive Equations Arising in Large Deformation Analysis,” International Journal for Numerical Methods in Engineering, Vol. 15, No. 12, pp. 1862-1867.
8. Likins, P. W., 1974, “Analytical Dynamics and Nonrigid Spacecraft Simu-lation,” Jet Propulsion Laboratory, Technical Report 32-1593, California Institute of Technology.
9. Shabana, A. A., 1998, Dynamics of Multibody Systems, Second Edition, Cambridge University Press.
10. Shabana, A. A., 1996a, “Finite Element Incremental Approach and Exact Rigid Body Inertia,” ASME JOURNAL OF MECHANICAL DESIGN, Vol. 118, pp. 171-178.
11. Shabana, A. A., 1996b, “An Absolute Nodal Coordinate Formulation for the Large Rotation and Deformation Analysis of Flexible Bodies,” Technical Report #MBS 96-1-UIC, Department of Mechanical Engineering, University of Illinois at Chicago, March 1996.
12. Shabana, A. A., 1997, “Flexible Multibody Dynamics: Review of Past and Recent Development,” Journal of Multibody System Dynamics, Vol. 1, No. 2, pp. 189-222.
13. Shabana, A. A., and Chritensen, A. P., 1997, “Three Dimensional Absolute Nodal Coordinate Formulation,” International Journal for Numerical Methods in Engineering, Vol. 40, No. 15, pp. 2775-2790.
14. Simo, J. C., and Vu-Quoc, L., 1986, “On the Dynamics of Flexible Beams Under Large overall Motions-The Plane Case: Parts I and II,” ASME Journal of Applied Mechanics, Vol. 53, pp. 849-863.