By Daniel Priour
This ebook totally describes a finite aspect procedure for netting. That describes the relation among forces and deformation of the netting. That takes under consideration forces as a result of the wire elasticity, the hydrodynamic forces, the capture impression, the mesh starting stiffness. This booklet is split in five components. the 1st part comprises advent at the finite point strategy, 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 point. The 6th provides few validation cases.
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Extra resources for A Finite Element Method for Netting: Application to fish cages and fishing gear
Similarly, nothing prevents the triangle from being smaller than a mesh. It appears that while the triangle does not contain any piece of twine of the net, d is not null, and therefore the triangle contains twines and consequently a deformation energy. In other words, the triangular finite element is a homogenization of the mechanical properties of the net. It also appears that every point of the twines belongs to only one triangular element and still the same, regardless of the deformation of the net.
124) The vector current is Generally speaking, cz is null. U |c||U| 2 c U . U |c||U| 2 c U |U| − U|U| . U)|U| In this case Ux is the component along x of U . 5 Stiffness of the Normal and Tangential Forces on the V Twines This evaluations are identical to the previous, but with V and β used in place of U and α. 4 Twine Flexionin Netting Plane The resistance to twine bending in the plane of the net is also called the mesh opening stiffness (Fig. 13). In a first approximation, this stiffness is neglected, but the use of steeper nets makes it necessary to take this mechanical phenomenon into account in numerical models.
The couple will then generate forces on the vertices (1, 2, 3, 4 in Fig. 15) on the two adjacent triangular elements. Obviously the bending of the V twines also leads to a couple.