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Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (9): 1169-1176.doi: https://doi.org/10.1007/s10483-009-0911-y

• Articles • Previous Articles     Next Articles

Variational principle for a special Cosserat rod

 LIU Dong-Sheng1, Charles H-T WANG2   

  1. 1. Applied Mathematics Department , Nanjing University of Science and Technology,Nanjing 200094, P. R. China;
    2. School of Engineering and Physical Sciences, University of Aberdeen,Aberdeen AB24 3UE, UK
  • Received:2009-03-16 Revised:2009-07-31 Online:2009-09-01 Published:2009-09-01

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Abstract: In this paper, we describe the nonlinear models of a rod in three-dimensional space based on the Cosserat theory. Using the pseudo-rigid body method and variational principle, we obtain the motion equations of a Cosserat rod including shear deformations.

Key words: rod, variational principle, Cosserat theory

2010 MSC Number: 

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