| 摘要 |
For determining the behaviour of a flexible system submitted to predetermined displacement boundary conditions, a process uses geometrically non-linear finite element analysis. The process has a plurality of incremental steps within a total Lagrangian formalism with co-rotational update. In each incremental step, one computes for a finite element of the flexible system a displacement vector, having translational and rotational components, at the nodes of the finite element. This computation of the displacement vector is carried out by minimising the energy of the flexible system when the system is submitted to a fraction of the predetermined displacement. For a given finite element, the co-rotational update is carried out by computing an updated elementary frame of reference, without considering the bending rotational components of the displacement vectors computed at the nodes of the finite element. This co-rotational update has the following advantage: in the updated elementary frame of reference, one of the axes is parallel to the line joining the nodes of the finite element. This property is maintained in each incremental step and makes all computations similar, hence simpler and easier.
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