Elastic Rods with Moderate Roration |
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| Authors: | Oliver M. O'Reilly Jeffrey S. Turcotte |
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| Affiliation: | (1) Department of Mechanical Engineering, University of California, Berkeley, California, 94720-1740, U.S.A;(2) Department of Aeronautics and Astronautics, Air Force Institute of Technology, Wright-Patterson Air Force Base, Ohio, 45433-7765, U.S.A |
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| Abstract: | ![]()
Based on the theory of a directed or Cosserat curve of Green, Naghdi and several of their co-workers, several properly invariant approximate theories of an elastic rod are developed. The approximate theories are applicable when a rotation tensor associated with the motion of the rod is moderate. In one of these theories, some of the strains are moderate while others are small. A second theory where all of the strains are small is also developed. This revised version was published online in August 2006 with corrections to the Cover Date. |
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| Keywords: | Cosserat rod theory elastic rods moderate rotation theories constrained rod theories |
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