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

By Daniel Priour

This booklet totally describes a finite point process for netting. That describes the relation among forces and deformation of the netting. That takes under consideration forces a result of wire elasticity, the hydrodynamic forces, the capture impact, the mesh beginning stiffness. This e-book is split in five elements. the 1st part includes creation at the finite aspect procedure, the second one half is set equilibrium calculation, the 3rd provides a triangular point 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 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. 5, the number of U twines is 18, the number of V twines is 18, and the number of knots is 18.

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. 5, the number of U twines is 18, the number of V twines is 18, and the number of knots is 18. 1 Twine Tension in Diamond Mesh The tensions in the twines are required to estimate the forces on the vertices due to these tensions. In the hypothesis of linear elasticity, these tensions are deduced from U and V, which have been previously calculated.

The coordinates in twine number are noted. 7) xi , yi , z i : Cartesian coordinates of vertex i, Ui , Vi : coordinates of vertex i in number of twines (twine coordinates). The twine vectors (U, V) are calculated from the Cartesian coordinates (xi , yi , z i ) of the vertices of the triangular element. It appears that nothing implies that the number of twine coordinates of the vertices of the triangle consists of integers. Therefore, these coordinates can be real. This implies that the vertices of the triangle are not necessarily located on knots of the net (Fig.

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