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TECHNICAL PAPERS

Three Dimensional Absolute Nodal Coordinate Formulation for Beam Elements: Theory

[+] Author and Article Information
Ahmed A. Shabana, Refaat Y. Yakoub

Department of Mechanical Engineering, University of Illinois at Chicago, 842 West Taylor St., Chicago, IL 60607-7022

J. Mech. Des 123(4), 606-613 (May 01, 2000) (8 pages) doi:10.1115/1.1410100 History: Received May 01, 2000
Copyright © 2001 by ASME
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References

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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.
Shabana, A. A., 1998, Dynamics of Multibody Systems, 2nd edition, Cambridge University Press, Cambridge.
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Shabana,  A. A., 1998, “Computer Implementation of the Absolute Nodal Coordinate Formulation for Flexible Multibody Dynamics,” Nonlinear Dynamics, 16, pp. 293–306.
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Mikkola, A. M., and Shabana, A. A., 2001, “A New Plate Element Based on the Absolute Nodal Coordinate Fomulation,” Proceedings of the ASME 2001 Design Engineering Technical Conferences, Pittsburgh, PA, September 2001.

Figures

Grahic Jump Location
Beam represented by its centerline
Grahic Jump Location
Rotation of the beam cross section
Grahic Jump Location
Definition of the torsion and shear (a) Rotation of beam cross section about its normal (b) Rotation of beam cross section due to shear βy (c) Rotation of beam cross section due to shear βz
Grahic Jump Location
Different beam shapes using cubic polynomials
Grahic Jump Location
Discontinuity of the slopes

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