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.
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Communicated by Li-qun CHEN
Project supported by the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry of China
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Liu, Ds., Wang, C.HT. Variational principle for a special Cosserat rod. Appl. Math. Mech.-Engl. Ed. 30, 1169–1176 (2009). https://doi.org/10.1007/s10483-009-0911-y
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DOI: https://doi.org/10.1007/s10483-009-0911-y