Use of the finite element absolute nodal coordinate formulation in modeling slope discontinuity

Journal of Mechanical Design

Volumn 125, Issue 2, 2003, Pages 342-350

  Shabana, Ahmed A ^a   Mikkola, Aki M ^b  

^a 1120 Science and Engineering Offices   (United States)

^b LAPPEENRANTA UNIVERSITY OF TECHNOLOGY   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; PARAMETER ESTIMATION; ROTATION; VECTORS;

CORIOLIS FORCES; GLOBAL COORDINATE SYSTEM; NONLINEAR MASS MATRIX; SLOPE DISCONTINUITY;

KINEMATICS;

EID: 0038205727     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1564569     Document Type: Article

References (15)

1. Hughes, T. J. R., and Winget, J., 1980, "Finite Rotation Effects in Numerical Integration of Rate Constitutive Equation Arising in Large Deformation Analysis," Int. J. Numer. Methods Eng., 15(12), pp. 1862-1867.
2. Garćia de Jalón, J., and Bayo, E., 1994, Kinematic and Dynamic Simulation of Multibody Systems: The Real Time Challenge, Springer-Verlag.
3. Rankin, C. C., and Brogan, F. A. 1986, "An Element Independent Corotational Procedure for the Treatment of Large Rotations," ASME J. Pressure Vessel Technol., 108, pp. 165-174.
4. Simo, J. C., and Vu-Quoc, L., 1986, "On the Dynamics of Flexible Beams Under Large Overall Motion-the Plane Case: Part I," ASME J. Appl. Mech., 53, pp. 849-854.
5. Shabana, A. A., 1996, "An Absolute Nodal Coordinate Formulation for the Large Rotation and Deformation Analysis of Flexible Bodies," Technical Report MBS96-1-UIC, University of Illinois at Chicago, Chicago, IL.
6. Mikkola, A. M., and Shabana, A. A., 2001. "A New Plate Element Based on the Absolute Nodal Coordinate Formulation," Proceedings of the 2001 ASME International Design Engineering Technical Conferences, September 9-12, 2001, Pittsburgh, Pennsylvania.
7. Omar, M. A., and Shabana, A. A., 2001, "A Two-Dimensional Shear Deformable Beam for Large Rotation and Deformation," J. Sound Vib., 243(3), pp. 565-576.
8. Shabana, A. A., and Yakoub, R. Y., 2001, "Three Dimensional Absolute Nodal Coordinate Formulation for Beam Elements: Theory," ASME J. Mech. Des., 123(4), December 2001, pp. 606-613.
9. Yakoub, R. Y., and Shabana, A. A., 2001, "Three Dimensional Absolute Nodal Coordinate Formulation for Beam Elements: Implementation and Applications," ASME J. Mech. Des., 123(4), December, pp. 614-621.
10. Shabana, A. A., 1998, Dynamics of Multibody Systems, 2nd edition, Cambridge University Press.
11. Bathe, K-J., 1995, Finite Element Procedures, Prentice-Hall, Inc.
12. Cook, R. D., Malkus, D. S., and Plesha, M. E., 1999, Concepts and Applications of Finite Element Analysis, 3rd edition, John Wiley & Sons.
13. Berzeri, M., Campanelli, M., and Shabana, A. A., 2001, "Definition of the Elastic Forces in the Finite-Element Absolute Nodal Coordinate Formulation and the Floating Frame of Reference Formulation," Multibody System Dynamics, 5, pp. 21-54.
14. Bonet, J., and Wood, R. D., 1997, Nonlinear Continuum Mechanics for Finite Element Analysis, Cambridge University Press, Cambridge.
15. Shabana, A. A., 1998, "Computer Implementation of the Absolute Nodal Coordinate Formulation for Flexible Multibody Dynamics," Nonlinear Dyn., 16, pp. 293-306.