Grapho-Analytical Optimization of Key-Joints

Ferenc János Szabó

doi:10.15866/ireme.v17i8.23765

Grapho-Analytical Optimization of Key-Joints

Ferenc János Szabó^(1*)

^(*) Corresponding author

Authors' affiliations

DOI: https://doi.org/10.15866/ireme.v17i8.23765

Abstract

Key-joints and splined shafts are used in many drives and rotating elements in engineering practice. Nowadays it is increasingly important to decrease the dead-weight of structures (in the vehicle industry, aircraft industry, etc). This paper shows an optimization process for the minimum weight design of key-joints. For the solution of the optimization problem a 3D grapho-analytical optimization process is used, based on the Kuhn-Tucker optimality criterion. During the graphic part of the process, three-dimensional diagrams show the behavior of the objective function and of the design constraints, which makes easy to read the optimum solution from the diagram. The final optimum solution is also given numerically in a table. For better demonstration, the finite element analysis of the three-dimensional CAD model of the optimal joint is also shown. As a further application, the grapho-analytical optimization of parallel key splined shafts is shown, too.
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Keywords

Grapho-Analytical Optimization; Key-Joints; Kuhn-Tucker Optimality Criterion; Optimization for Minimum Weight

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