Betsch, P. and Steinmann, P. (2002) Frame-indifferent beam finite elements based upon the geometrically exact beam theory. International Journal for Numerical Methods in Engineering, 54(12), pp. 1775-1788. (doi: 10.1002/nme.487)
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Abstract
This paper describes a new beam finite element formulation based upon the geometrically exact beam theory. In contrast to many previously proposed beam finite element formulations the present discretization approach retains the frame-indifference (or objectivity) of the underlying beam theory. The space interpolation of rotational degrees-of-freedom is circumvented by the introduction of a reparameterization of the weak form corresponding to the equations of motion of the geometrically exact beam theory.
| Item Type: | Articles |
|---|---|
| Additional Information: | Funding information: Publishing Arts Research Council. Grant Number: 98‐1846389. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Steinmann, Professor Paul |
| Authors: | Betsch, P., and Steinmann, P. |
| College/School: | College of Science and Engineering > School of Engineering > Infrastructure and Environment |
| Journal Name: | International Journal for Numerical Methods in Engineering |
| Publisher: | Wiley |
| ISSN: | 0029-5981 |
| ISSN (Online): | 1097-0207 |
| Published Online: | 05 June 2002 |
| Related URLs: |
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