PSI - Issue 47

Anass Gouya et al. / Procedia Structural Integrity 47 (2023) 448–453 Author name / Structural Integrity Procedia 00 (2019) 000–000

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2. Materials and Geometric model of strands We have selected a geometrical model of a 19x7 wire rope that indicates the number of strands in the rope with a non-rotating structure; (1x7 + 6x7 + 12x7) number of strands per strand[7], considering that all the strands have the same length 200mm, same diameter 1.9mm, and same Poisson's ratio 0.3. 3. Method Taguchi The Taguchi method is based on numerical integration methods of the Gauss quadrature type. It allows to simply estimate the statistical moments of a function of several independent random variables whose probability densities are known[4]. The principle consists in discretizing each probability density in a finite number of suitably chosen points, then calculating the function for all possible configurations. The statistical moments of the function are obtained by performing a weighted sum of the results for each configuration. The weighting takes into account the type of probability density of each random variable[8]. A minimum of three discretization points per variable is required to take into account the non-linear variations of the function. The accuracy of the method increases rapidly with the number of points chosen. The main advantages of this technique are the low computational time required compared to Monte-Carlo simulations and the simplicity of its implementation (no analytical expression of the function).

4. Results and discussions 4.1. Finite Element analysis of failure stresses

ANSYS software Explicit Finite Element the geometric model the 3D model of the wire rope is established in CATIA and imported into Ansys Workbench. The wires of the strands are made of the same material and have a Poisson's ratio of 0.3. A solid segment with a circular outline is allocated to each wire. This program specified the material properties, generated a finite element mesh, applied loads, defined contacts, and solved and obtained the necessary output data. The finite element used for meshing all the models analyzed was a brick solid element used in 3D solid structure modeling as the default element as seen in Figure 2. This is a 3D solid element of order greater than 20 nodes that exhibits quadratic motion behavior. It is defined by 20 nodes with three degrees of freedom per node, with a mesh pitch of approximately 1.9 mm. Surface-to-surface contact with a friction coefficient of (0.2-0.3-0.4) is a temperature flow (0°-25°-50°)is used to describe the contact conditions between the wire surfaces.

Fig 2:Finite Element Mesh

4.2. Optimization of manufacturing parameters by Taguchi’s method We chose the parameters that have the biggest influence, the pitch and diameter, as well as the Young's modulus,[8] based on the orthogonal table, a combination of mixed levels with a network of L27 combinations of 27 trials (3 levels and 3 variables). The L27 orthogonal network is subjected to a Taguchi analysis in order to optimize the failure stress, with the assumption that bigger is better. The ideal combination of input parameters is found by taking into account the maximum points in the plot for different parameters, and the optimal circumstances are output from the primary