Two simple triangular plate elements based on the absolute nodal coordinate formulation

Journal of Computational and Nonlinear Dynamics

Volumn 3, Issue 4, 2008, Pages

  Dmitrochenko, Oleg ^a   Mikkola, Aki ^a  

^a LAPPEENRANTA UNIVERSITY OF TECHNOLOGY   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTION EVALUATION; PLATES (STRUCTURAL COMPONENTS);

ABSOLUTE NODAL COORDINATE FORMULATIONS; ANALYTICAL RESULTS; FINITE ELEMENT FORMULATIONS; KIRCHHOFF PLATE THEORIES; NUMERICAL SOLUTIONS; RECTANGULAR FINITE ELEMENTS; RIGID BODIES; SHAPE FUNCTIONS; THIN PLATES; TRIANGULAR ELEMENTS; TRIANGULAR PLATE ELEMENTS;

ONTOLOGY;

EID: 55049141787     PISSN: 15551423     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2960479     Document Type: Article

References (24)

1. Shabana, A. A., 1997, "Definition of the Slopes and the Finite Element Absolute Nodal Coordinate Formulation," Multibody Syst. Dyn., 1(3), pp. 339-348.
2. Escalona, J. L., Hussien, H., and Shabana, A. A., 1998, "Application of the Absolute Nodal Coordinate Formulation to Multibody System Dynamics," J. Sound Vib., 214, pp. 833-851.
3. Shabana, A. A., 1998, "Computer Implementation of the Absolute Nodal Coordinate Formulation for Flexible Multibody Dynamics," Nonlinear Dyn., 16, pp. 293-306.
4. Shabana, A. A., and Mikkola, A. A., 2002, "Modeling of Slope Discontinuities in Flexible Body Dynamics Using the Finite Element Method," Proceedings of the DETC'02 ASME 2002 Design Engineering Technical Conference, Montreal, Canada, Sept. 29-Oct. 2, Vol. 2, Paper No. DETC2002/DAC-34094.
5. Omar, M. A., and Shabana, A. A., 2001, "A Two-Dimensional Shear Deformation Beam for Large Rotation and Deformation," J. Sound Vib., 243(3), pp. 565-576.
6. Kerkkänen, K., Garcia-Vallejo, D., and Mikkola, A., 2006, "Modeling of Belt-Drives Using a Large Deformation Finite Element Formulation," Nonlinear Dyn., 43(3), pp. 239-256.
7. Sopanen, J. T., and Mikkola, A. M., 2003, "Description of Elastic Forces Coordinate Formulation," Nonlinear Dyn., 34, pp. 53-74.
8. Garcia-Vallejo, D., Mikkola, A. M., and Escalona, J. L., "A New Locking-Free Shear Deformable Finite Element Based on Absolute Nodal Coordinates," Nonlinear Dyn., in press.
9. Gerstmayr, J., and Shabana, A. A., 2005, "Analysis of Higher and Lower Order Elements for the Absolute Nodal Coordinate Formulation," Proceedings of the 5th ASME International Conference on Multibody Systems, Nonlinear Dynamics, and Control, ASME, New York, Paper No. DETC2005-84827.
10. Dufva, K., and Shabana, A. A., 2005, "Analysis of Thin Plate Structures Using the Absolute Nodal Coordinate Formulation," J. Multi-Body Dynamics, 219(4), pp. 345-355.
11. Morley, L. S. D., 1971, "The Constant-Moment Plate-Bending Element," J. Strain Anal., 6(1), pp. 20-24.
12. Specht, B., 1988, "Modified Shape Functions for the Three Node Plate Bending Element Passing the Patch Test," Int. J. Numer. Methods Eng., 26, pp. 705-715.
13. Dmitrochenko, O. N., and Pogorelov, D. Y., 2003, "Generalization of Plate Finite Elements for Absolute Nodal Coordinate Formulation," Multibody Syst. Dyn., 10(1), pp. 17-43.
14. Yoo, W.-S., Dmitrochenko, O., and Pogorelov, D., 2006, "Verification of Absolute Nodal Coordinate Formulations in Flexible Multibody Dynamics via Physical Experiments of Large Deformation Problems," ASME J. Comput. Nonlinear Dyn., 1, pp. 81-93.
15. Zienkiewicz, O. C., and Taylor, R. L., 2000, The Finite Element Method (Solid Mechanics), Butterworth, London, Vol. 2.
16. Dunavant, D. A., 1985, "High Degree Efficient Symmetrical Gaussian Quadrature Rules for the Triangle," Int. J. Numer. Methods Eng., 21, pp. 1129-1148.
17. Yoo, W.-S., Dmitrochenko, O., Park, S.-J., and Lim, O.-K., 2005, "A New Thin Spatial Beam Element Using the Absolute Nodal Coordinates: Application to a Rotating Strip," Mech. Based Des. Struct. Mach., 33(3-4), pp. 399-422.
18. Gear, C. W., Gupta, G. K., and Leimkuhler, B., 1985, "Automatic Integration of Euler-Lagrange Equations With Constraints," J. Comput. Appl. Math., 12-13, pp. 77-90.
19. W. Schielden, ed., 1990, Multibody Systems Handbook, Springer, Berlin.
20. Pogorelov, D., 1997, "Some Developments in Computational Techniques in Modeling Advanced Mechanical Systems," Proceedings of the IUTAM Symposium on Interaction Between Dynamics and Control in Advanced Mechanical Systems, D. H. van Campen, ed., Kluwer, Dordrecht, pp. 313-320.
21. Pogorelov, D., 1998, "Differential-Algebraic Equations in Multibody System Modeling," Numerical Algorithms, Baltzer Science, Vol. 19, pp. 183-194.
22. Shabana, A. A., 1998, Dynamics of Multibody Systems, 2nd ed., Cambridge University Press, Cambridge.
23. Goldstein, H., 1950, Classical Mechanics, 2nd ed., Addison-Wesley, Reading MA.
24. Bathe, K.-J., 1996, Finite Element Procedures, Prentice-Hall, Englewood Cliffs, NJ.