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

By Daniel Priour

This e-book totally describes a finite aspect technique 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 seize impact, the mesh establishing stiffness. This booklet is split in five components. the 1st part comprises advent at the finite point technique, 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 aspect. The 6th provides few validation cases.​

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Sample text

This flexibility in the creation of triangular elements overcomes the cumbersome tool for creating globalized twines. This burden results from many different cases to be processed and consequently adjustments that sometimes make it impossible to fully describe the structure to be studied with the method of numerical twines. 30 4 The Triangular Finite Element for Netting 2 1 2 1 3 4 3 4 (a) (b) Fig. 3 a Four netting panels 50 by 50 meshes except for panel 1, which has only 45 meshes horizontally.

3 The Forces on the Netting 37 The force component along X on vertex 1 of a triangular element is estimated by considering a virtual displacement (∂ x1) along the axis x of vertex 1. 33) The principle of virtual work implies that the external work equals the internal work, since the forces represent the tension in the twines. 42) | ∂|V | The derivatives ∂|U ∂ x1 ... ∂z3 can be calculated, as the equations relating to U , V and X i , Yi , Z i have already been described. 45) The Newton-Raphson method, described earlier, requires the calculation of the stiffness matrix, which is calculated from the derivatives of effort with respect to the positions of the vertices of the triangular element.

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). This assumption is probably questionable, because the drag on a twine alone is surely not exactly the same as the drag on this twine among other twines as it is the case in a netting.

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