Definition of the Slopes and the Finite Element Absolute Nodal Coordinate Formulation

Multibody System Dynamics

Volumn 1, Issue 3, 1997, Pages 339-348

  Shabana, A A ^a  

^a 1120 Science and Engineering Offices   (United States)

Author keywords

Finite element; Large deformation; Large rotation; Multibody dynamics

Indexed keywords

DEFORMATION; FINITE ELEMENT METHOD; KINEMATICS; LINEARIZATION; MATRIX ALGEBRA; ROTATION;

ABSOLUTE NODAL COORDINATE FORMULATION; CONSTANT MASS MATRIX; DISPLACEMENT GRADIENTS; MULTIBODY DYNAMICS;

STRUCTURAL ANALYSIS;

EID: 0031223710     PISSN: 13845640     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009740800463     Document Type: Article

References (7)

1. Shabana, A., 'Finite element incremental approach and exact rigid body inertia', ASME Journal of Mechanical Design, 118, 1996, 171-178.
2. Shabana, A., 'An absolute nodal coordinate formulation for the large rotation and deformation analysis of flexible bodies', Technical Report #MBS96-1-UIC, Department of Mechanical Engineering, University of Illinois at Chicago, 1996.
3. Simo, J.C. and Vu-Quoc, L., On the dynamics of flexible beams under large overall motions-the plane case: Parts I & II, ASME Journal of Applied Mechanics, 53, 1986, 849-863.
4. Belytschko, T. and Hughes, T.J.R., Computational Methods for Transient Analysis, Elsevier Science Publishers, Amsterdam, 1983.
5. Shabana, A.A. and Christensen, A.P., 'Three dimensional absolute nodal coordinate formulation: Plate problem', International Journal for Numerical Methods in Engineering, in press.
6. Christensen, A.P. and Shabana, A.A., 'Exact modeling of the spatial rigid body inertia using the finite element method', ASME Journal of Vibration and Acoustics, in press.
7. Shabana, A.A., Vibration of Discrete and Continuous Systems, Second Edition, Springer-Verlag, New York, 1996.