A Finite Element Method for Netting: Application to fish by Daniel Priour

By Daniel Priour

This ebook totally describes a finite point process for netting. That describes the relation among forces and deformation of the netting. That takes into consideration forces end result of the wire elasticity, the hydrodynamic forces, the seize impact, the mesh beginning stiffness. This booklet is split in five components. the 1st part comprises creation at the finite point approach, the second one half is ready equilibrium calculation, the 3rd provides a triangular aspect for netting, the fourth and 5th are for cable and node point. The 6th provides few validation cases.​

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The twines coordinates of vertices remain constant. The twines coordinates of three vertices are noted. The dot is the origin of twines numbering. Only 1 twine on 5 is drawn (a) (b) (c) Fig. 8 Triangular element: Cartesian coordinates (a), twines coordinates (b), and mesh coordinates (c). 2 The Finite Element for Netting 35 Here, U P and V P are the twine coordinates, and u P and v P are the mesh coordinates of the same node P. 20) By the same way, the number of meshes, as defined in Fig. 29) Ms = nbm In the case of Figs.

Indeed, a structure is very often the assembly of several panels of nets. Therefore, the creation of numerical twines in a panel will generate nodes on its contour. These nodes are the basis for the creation of numerical twines of the adjacent panel (Figs. 3). 2a shows four panels (50 by 50 meshes) whose numerical twines connect perfectly (Fig. 2b): the nodes on the edges are perfectly aligned with the nodes of the adjacent panels. 3a shows the same example, except that panel 1 is only 45 meshes horizontally.

Generally speaking, a twine elongation is associated with a diameter D reduction by the Poisson coefficient. Because this Poisson coefficient is not taken into account in the present modelling, the twine surface is approximated by Dl0 , where D is the diameter of the twines and l0 is the unstretched length of the twine vectors. All parameters, including the angles α and β, are constant and known for each triangular element. Therefore, the drag can be calculated for each triangular element. The drag force for a triangular element is spread over the three vertices of the element at 1/3 per vertex.

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