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- W2155403715 abstract "Abstract The article introduces a new finite element formulation of the three-dimensional ‘geometrically exact finite-strain beam theory’. The formulation employs the generalized virtual work principle with the pseudo-curvature vector as the only unknown function. The solution of the governing equations is obtained by using a combined Galerkin-collocation algorithm. The collocation ensures that the equilibrium and the constitutive internal force and moment vectors are equal at a set of chosen discrete points. In Newton’s iteration special update procedures for the pseudo-curvature and rotational vectors have to be employed because of the non-linearity of the configuration space. The accuracy and the efficiency of the derived numerical algorithm are demonstrated by several examples." @default.
- W2155403715 created "2016-06-24" @default.
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- W2155403715 date "2003-08-01" @default.
- W2155403715 modified "2023-10-16" @default.
- W2155403715 title "The three-dimensional beam theory: Finite element formulation based on curvature" @default.
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- W2155403715 doi "https://doi.org/10.1016/s0045-7949(03)00208-6" @default.
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