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Best infeasible solution found in the sixth run – Area = 313.91 and Torsional stiffness = 15566.1.  

Best infeasible solution found in the sixth run – Area = 313.91 and Torsional stiffness = 15566.1.  

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This paper discusses shape optimization problems for elastic shafts under torsion us-ing genetic algorithms (GA) coupled to the boundary element method (BEM). A GA is proposed to evolve the shape optimization involving the objective function that minimizes the area of the cross-section where the constraint imposed is a minimum value of torsional st...

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... infeasible, all of these values are very close to the exact solution with respect to both the area (314.159) and the torsional stiffness The Figure 4 shows the final shape of the shaft for the best feasible solution found in the first run. The Figure 5 shows the final shape of the best infeasible solution found in the sixth run. The red color in both cases corresponds to the exact solution whereas the blue color indicates the solutions found by the GA. ...

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