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Corresponding Author

Fanni, Mohamed

Subject Area

Production Engineering and Mechanical Design

Article Type

Original Study

Abstract

The shoulder of a packaging machine is the part which guides the packing material plastic sheer for example, and folds it into the shape of a tube. It is manufactured through bending a piece of sheet metal along certain curve called bending curve. All geometry features of the shoulder are determined through the bending curve. The methods found in the literature to design the bending curve have some drawbacks. For many practical specifications at the shoulder geometry. these methods give no solution or give a solution for some specifications and let the other specifications uncontrolled. They are not flexible for new geometrical or mechanical specifications. The present work discusses these methods and introduces a new method, which is flexible for arbitrary number of specifications and gets the closest solution to the specified one. The method uses B-splines los model the bending curve and optimization techniques to get the optimal solution for certain specifications. The application of the proposed method to real shoulders gives satisfactory results in comparison with the other methods.

Keywords

Computer Aided Design; B-Splines; optimization methods; Differential geometry; Isometric mapping

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