Analysis of thin plate structures using the absolute nodal coordinate formulation

Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics

Volumn 219, Issue 4, 2005, Pages 345-355

  Dufva, K ^a   Shabana, A A ^b  

^a LAPPEENRANTA UNIVERSITY OF TECHNOLOGY   (Finland)

^b 1120 Science and Engineering Offices   (United States)

Author keywords

Absolute nodal coordinate formulation; Large deformation; Multibody applications; Thin plate elements

Indexed keywords

COMPUTATIONAL METHODS; CONTROL NONLINEARITIES; DEFORMATION; FINITE ELEMENT METHOD; KINEMATICS; MATHEMATICAL MODELS; ROTATION; ROTORS;

ABSOLUTE NODAL COORDINATE FORMULATIONS; LARGE DEFORMATION; MULTIBODY APPLICATIONS; THIN PLATE ELEMENTS;

PLATES (STRUCTURAL COMPONENTS);

EID: 28444489639     PISSN: 14644193     EISSN: 14644193     Source Type: Journal    
DOI: 10.1243/146441905X50678     Document Type: Conference Paper

References (11)

1. Shabana, A. A. and Mikkola, A. M. On the use of the degenerate plate and the absolute nodal coordinate formulations in multibody system applications. J. Sound Vib., 2003, 259(2), 481-489.
2. Mikkola, A. M. and Shabana, A. A. A non-incremental finite element procedure for the analysis of large deformation of plates and shells in mechanical system applications. Multibody Syst. Dyn., 2003, 9(3), 283-309.
3. Yoo, W. S., Lee, J. H., Park, S. J., Sohb, J. H., Dmitrochenko, O. N., and Pogorelov, D. Y. Large oscillations of a thin cantilever beam: physical experiments and simulation using the absolute nodal coordinate formulation. Nonlinear Dyn., 2003, 34(1-2), 3-29.
4. Von Dombrowski, S. Analysis of large flexible body deformation in multibody systems using absolute coordinates. Multibody Syst. Dyn., 2002, 8(4), 409-432.
5. Garcia-Vallejo, D., Mayo, J., Escalona, J. L., and Dominguez, J. Efficient evaluation of the elastic forces and the Jacobian in the absolute nodal coordinate formulation. Nonlinear Dyn., 2004, 35(4), 313-329.
6. Shabana, A. A. and Christensen, A. P. Three dimensional absolute nodal coordinate formulation: plate problem. Int. J. Numer. Meth. Eng., 1997, 40, 2775-2790.
7. Dmitrochenko, O. N. and Pogorelov, D. Y. Generalization of plate finite elements for absolute nodal coordinate formulation. Multibody Syst. Dyn., 2003, 10, 17-43.
8. Yoo, W. S., Lee, J. H., Park, S. J., Sohn, J. H., Pogorelov, D. Y., and Dmitrochenko, O. N. Large deflection analysis of a thin plate: computer simulations and experiments. Multibody Syst. Dyn., 2004, 11, 185-208.
9. Chia, C. Y. Nonlinear analysis of plates, 1980 (McGraw-Hill, Inc., USA).
10. Bathe, K. J. Finite element procedures, 1996 (Prentice-Hall Inc., New Jersey).
11. Yakoub, R. Y. and Shabana, A. A. Use of Cholesky coordinates and the absolute nodal coordinate formulation in the computer simulation of flexible multibody systems. Nonlinear Dyn., 1999, 20, 267-282.