This extension of the classical model of 3d link

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Unformatted text preview: d we use the iterative resolution, till the end of mechanism. 3 TAKING INTO ACCOUNT COMPONENTS’ FLEXIBILITY 3.1. Deformation in nominal conditions A Finite Element Model (FEM) of the component is used to perform the deformation analysis. At each node of the mesh, exerted force is noted F and associated displacement is noted U D . UD and F are linked by a matrix presented on equation 1. I represents the identity matrix ⎡U ⎤ F = KU D ⇔ KU D − F = 0 ⇔ [ K − I ]⎢ D ⎥ = [0] (1) ⎣F⎦ The linear relations (equation 1) that link forces and displacements are always checked and have to be completed with boundary conditions for each node of the mesh. Components’ deformations may come from seals, forces or other geometrical pairs. Figure 4 proposes a simple example, where a component is linked with another one thanks to 2 pairs and where an external force is exerted. Figure 4: Classical deformation calculation In linear deformation calculation, we can impose either forces Fext and /or displacements values for each point: ⎧ F [ i ]...
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