Variational principle for a special Cosserat rod

LIU Dong-Sheng;Charles H-T WANG

doi:10.1007/s10483-009-0911-y

Applied Mathematics and Mechanics >

2009 , Vol. 30 >Issue 9: 1169 - 1176

DOI: https://doi.org/10.1007/s10483-009-0911-y

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Variational principle for a special Cosserat rod

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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 date: 2009-03-16

Revised date: 2009-07-31

Online 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

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LIU Dong-Sheng;Charles H-T WANG . Variational principle for a special Cosserat rod[J]. Applied Mathematics and Mechanics, 2009 , 30(9) : 1169 -1176 . DOI: 10.1007/s10483-009-0911-y

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