Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Bending and Torsional Stresses in Hypotrochoidal H-Profiled Shafts Standardised According to DIN 3689-1

Version 1 : Received: 14 December 2022 / Approved: 16 December 2022 / Online: 16 December 2022 (02:40:22 CET)

A peer-reviewed article of this Preprint also exists.

Ziaei, M. Bending and Torsional Stress Factors in Hypotrochoidal H-Profiled Shafts Standardised According to DIN 3689-1. Eng 2023, 4, 829-842. Ziaei, M. Bending and Torsional Stress Factors in Hypotrochoidal H-Profiled Shafts Standardised According to DIN 3689-1. Eng 2023, 4, 829-842.

Abstract

Hypotrochoidal profile contours have been produced in industrial applications in recent years using twin-spindle processes, and they are considered effective high-quality solutions for positive shaft–hub connections. This study mainly concerns analytical approaches to determine the bending stresses in hypotrochoidal profile shafts. The formulation was developed according to bending principles using the mathematical theory of elasticity and conformal mappings. The loading was further used to investigate the rotating bending behaviour. The stress factors for the classical calculation of maximum bending stresses were also determined for all those profiles presented and compiled in the German standard DIN3689-1 for practical applications. The results were also compared with the corresponding numerical and experimental results, and very good agreement was observed. Additionally, based on previous work, the stress factor was determined for the case of torsional loading to calculate the maximum torsional stresses in the standardised profiles, and the results are listed in a table. This study contributes to the further refinement of the current DIN3689 standard.

Keywords

hypotrochoidal profile shafts; DIN3689 H-profiles; bending stress; rotating bending loads; flexure; torsional stress in profiled shafts; stress factor

Subject

Engineering, Mechanical Engineering

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