Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Bending Stresses and Deformations in Prismatic Profiled Shafts With Noncircular Contours Based on Higher Hybrid Trochoids

Version 1 : Received: 11 July 2022 / Approved: 12 July 2022 / Online: 12 July 2022 (09:27:59 CEST)

A peer-reviewed article of this Preprint also exists.

Ziaei, M. Bending Stresses and Deformations in Prismatic Profiled Shafts with Noncircular Contours Based on Higher Hybrid Trochoids. Appl. Mech. 2022, 3, 1063-1079. Ziaei, M. Bending Stresses and Deformations in Prismatic Profiled Shafts with Noncircular Contours Based on Higher Hybrid Trochoids. Appl. Mech. 2022, 3, 1063-1079.

Abstract

This paper presents an analytical method for determining the bending stresses and deformations in prismatic noncircular profile shafts with trochoidal cross sections. The so-called higher trochoids can be used as form-fit shaft–hub connections. Hybrid (mixed) higher trochoids (M-profiles) were proposed in [1] and adapted to a practical industrial application in [2]. M-profiles combine the advantages of standardised polygon (DIN 32711 [3]) and spline (DIN 5486 [4]) contours used as shaft–hub connections for the transmission of torsional loads. In this study, the geometric and mechanical properties of the higher hybrid trochoids were investigated using complex functions to simplify the calculations. The pure bending stress and shaft deflection were determined for M-profiles using the bending theory formulated by Muskhelishvili [5]. The loading cases consisted of static and rotating bends. Analytical, numerical, and experimental results agreed well.

Keywords

higher trochoids; noncircular cross sections; profiled shafts; form-fit shaft and hub connections; bending stress; bending deflection; rotating bending stress

Subject

Engineering, Mechanical Engineering

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