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

By Daniel Priour

This publication totally describes a finite point procedure for netting. That describes the relation among forces and deformation of the netting. That takes into consideration forces because of the wire elasticity, the hydrodynamic forces, the seize influence, the mesh starting stiffness. This booklet is split in five elements. the 1st part includes creation at the finite aspect technique, the second one half is set equilibrium calculation, the 3rd offers a triangular aspect for netting, the fourth and 5th are for cable and node aspect. The 6th provides few validation cases.​

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Example text

Under these conditions the twines of the same direction have the same deformation. The second assumption is that the twines are modelled as elastic rods. One difficulty with the method of numerical globalized twines (or numerical twines) was described earlier: nodes on the edges of the panels do not always coincide perfectly (Fig. 3b). This difficulty disappears with triangular elements, since the discretization of a netting panel is independent of the discretization of adjacent panels, except on the border.

90) m x , m y : components of m twine (m), lo , m o , n o : unstretched length of twines l, m, and n (m), Ux , U y , Vx , Vy : components of the sides of the mesh base (m; see Fig. 9), El , E m , E n : Young modulus of twines l, m, and n (Pa), Al , Am , An : section of twines l, m, and n (m2 ). These two equations describe the equilibrium of the joint knot of three twines in a triangle, the sides of which are U+V 2 and V (Fig. 10). These equations are in newtons. 2 Approximation of the Equilibrium of the Joint The analytical solution of the two previous equations has not been found.

3 The Forces on the Netting 47 Fig. 11 Normal (F) and tangential (T) forces on a twine due to the relative velocity of water (c) The drag amplitudes on the U twines used in the model (Fig. 117) F: normal drag (N ) on the U twines, following the assumptions of Landweber, T: tangential drag (N ) on the U twines, Richtmeyer hypothesis, ρ: density of water (kg/m3 ), Cd : normal drag coefficient, f : tangential drag coefficient, D: diameter of twine (m), l0 : length of twine vector (m), c: water velocity relative to the twine (m/s), α: angle between the U twine and the water velocity (radians), d/2 : number of U twine vectors in the triangular element.

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