Abstract

Although in scientific literature there are studies regarding the inclusion of relief grooves in order to diminish the amount of stress concentration in stepped shafts, the incorporation of optimization algorithms capable of parametrically determining their geometry remains unexplored. In this paper, an approach to the problem of size optimization of shoulder filleted shafts with relief grooves and subject to axial loads is presented. The objective of the optimization is to minimize the maximum value of stress at both, the root of the shoulder fillet, and the root of the groove, thus minimizing stress concentration and improving fatigue life of such elements. Under this methodology, different percentages of reduction of stress are achieved for the shafts with relief grooves, in comparison with the shafts without relief grooves. The novelty of this approach lies in the incorporation of an algorithm for the determination of the optimum geometry of the grooves.

Highlights

  • Most machine parts have varying cross sections, and shafts often include steps or shoulders to accommodate bearings, gears, and other mechanical elements

  • The main problem to be addressed in this paper is to present an approach to the size optimization of shoulder filleted shafts, including relief grooves as a mean to reduce the stress concentration, while the shafts under consideration are subject to axial loads

  • The objective of the optimization is to minimize the maximum stress at two points, i.e., the root of the shoulder fillet and the root of the groove on a stepped shaft subjected to an axial load, and in which, a relief groove has been introduced

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Summary

Introduction

Most machine parts have varying cross sections, and shafts often include steps or shoulders to accommodate bearings, gears, and other mechanical elements. Size Optimization of shoulder filleted shafts with relief grooves for improving their fatigue lives. SIZE OPTIMIZATION OF SHOULDER FILLETED SHAFTS WITH RELIEF GROOVES FOR IMPROVING THEIR FATIGUE LIFE

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