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

By Daniel Priour

This e-book totally describes a finite point process for netting. That describes the relation among forces and deformation of the netting. That takes into consideration forces as a result of the cord elasticity, the hydrodynamic forces, the trap impact, the mesh starting stiffness. This booklet is split in five components. the 1st part includes creation at the finite aspect procedure, the second one half is set equilibrium calculation, the 3rd provides 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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Extra info for A Finite Element Method for Netting: Application to fish cages and fishing gear

Example text

The coordinates of the vertices in number of twine vectors are then constant, whatever the deformation of the triangle. 6 shows an example. 5 along the V twine. It is clear that if the origin of coordinates in twine number changes, the twine coordinates of nodes will change but will not affect the equilibrium position of the net. These twines are parallel inside the triangular element, which means that the sides of the triangle (12, 23, 31) are linear combinations of twine vectors (U and V, cf.

46 4 The Triangular Finite Element for Netting This number of twines through each side can be calculated based on the number of base mesh of each vertex. The effort on the side along U of the base mesh (Fig. 110) Here, Ti j is the effort on the side i j of the triangular element. 113) F1 , F2 , and F3 are the forces on the three vertices of the triangular element due to the tension in the twines. The contribution of the stiffness matrix is not described here. 1 Introduction The drag force on the netting is calculated in this model as the sum of the drag force on each twine (U and V).

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. Therefore, the following approximation has been made to simplify the equations. This approximation is acceptable because the stretched lengths of the twines are close to the unstretched length. 92) 44 4 The Triangular Finite Element for Netting Fig. 10 The three twines are in the triangle defined by U+V 2 and V (cf. Fig. 3 Newton-Raphson Method The previous approximation has not been sufficient to reach the analytical solution.

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