By Daniel Priour
This e-book absolutely describes a finite point strategy for netting. That describes the relation among forces and deformation of the netting. That takes under consideration forces as a result of cord elasticity, the hydrodynamic forces, the capture impression, the mesh establishing stiffness. This booklet is split in five elements. the 1st part comprises advent at the finite point procedure, 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 aspect. The 6th offers few validation cases.
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Additional resources for A Finite Element Method for Netting: Application to fish cages and fishing gear
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.
In the present model, the half angle (α) between the twine vectors (U and V) could lead to a couple between twine vectors (U and V). 211) The couple on a knot due to the U twine is equilibrated by the couple of the V twine; otherwise the knot would not be in equilibrium. 212) Fig. 13 Demonstration of mesh opening stiffness. m/Rad). This couple varies linearly with the angle. [12, 15] suggest another formulation, since the twines are modelled as beams. 213) We = F x 1 ∂ x 1 where F x1 is the effort along the x axis at vertex 1 of a triangular element.
217) where w = x, y, and z, and i = 1, 2, and 3. 218) where w = x, y, and z, and i = 1, 2, and 3. 219) where as above, w = x, y, and z, and i = 1, 2, and 3, and t = x, y, and z, and j = 1, 2, and 3. 3 The Forces on the Netting 59 Fig. 5 Twine Flexion Outside the Netting Plane To our knowledge, no numerical model, except the present one, takes into account this mechanical property of the nets (Fig. 14). The angle between the U twine of a triangle (Ua in Fig. 15) and its neighbour (Ub ) is constant along the side common to the two triangular elements.