Exact modeling of the spatial rigid body inertia using the finite element method

Journal of Vibration and Acoustics, Transactions of the ASME

Volumn 120, Issue 3, 1998, Pages 650-657

  Christensen, A P ^a   Shabana, A A ^a  

^a 1120 Science and Engineering Offices   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DEFORMATION; EQUATIONS OF MOTION; INTEGRATION;

INTERMEDIATE ELEMENT COORDINATE SYSTEM; REFERENCE COORDINATES; SPATIAL RIGID BODY INERTIA;

FINITE ELEMENT METHOD;

EID: 0032121206     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.2893879     Document Type: Article

References (15)

1. Agrawal, O. P., and Shabana, A. A., 1985, “Dynamic Analysis of Multibody System Using Component Modes,” Computers and Structures, Vol. 21, No. 6, pp. 1303-1310.
2. Bayliss, A., and Isaacson, E., 1975, “How to Make Your Algorithm Conservative,” Not. Amer. Math. Soc., A.594-A.595.
3. Belytshchko, T., and Hsieh, B. J., 1973, “Non-linear Transient Finite Element Analysis with Convected Co-ordinates,” International Journal for Numerical Methods in Engineering, Vol. 7, pp. 255-271.
4. Belytshchko, T., and Schoerberle, D. F., 1975, “On the Unconditional Stability of an Implicit algorithm for Nonlinear Structural Dynamics,” ASME Journal of Applied Mechanics, Vol. 42, No. 4, pp. 865-869.
5. 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.
6. 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.
7. Hughes, T. J., 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. LaBudde, R. A., and Greenspan, D., 1976, “Energy and Momentum Conserving Methods of Arbitrary Order for the Numerical Integration of Equations of Motion, Part I,” Numer. Math, Vol. 25, pp. 323-346.
9. LaBudde, R. A., and Greenspan, D., 1976, “Energy and Momentum Conserving Methods of Arbitrary Order for the Numerical Integration of Equations of Motion, Part II,” Numer. Math, Vol. 26, pp. 1-16.
10. Pereira, M., and Ambrosia, J., ed., 1994, Computer-Aided Analysis of Rigid and Flexible Mechanical Systems, Kluwer Academic Publishers.
11. Shabana, A. A., 1996, “Finite Element Incremental Approach and Exact Rigid Body Inertia,” ASME JOURNAL OF MECHANICAL DESIGN, Vol. 118, No. 2, pp. 171-178.
12. Shabana, A. A., 1997, “Flexible Multibody Dynamics: Review of Past and Recent Developments,” Journal of Multibody System Dynamics, Vol. 1, No. 2, pp. 189-222.
13. Shabana, A. A., 1998, Dynamics of Multibody Systems, Second Edition, Cambridge University Press.
14. Shabana, A. A., and Christensen, A. P., 1997, “Three Dimensional Absolute Nodal Coordinate Formulation: Plate Problem,” International Journal for Numerical Methods in Engineering, Vol. 40, No. 15, pp. 2775-2790.
15. Simo, J. C., and Wong, K. K., 1991, “Unconditionally Stable Algorithms for Rigid Body Dynamics that Exactly Preserve Energy and Momentum,” International Journal for Numerical Methods in Engineering, Vol. 31, pp. 19-52.