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Archive of Applied Mechanics

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07-01-2021 | Technical notes

A novel analytical solution for warping analysis of arbitrary annular wedge-shaped bars

Authors: Ali Mahdavi, Mahdi Yazdani

Published in: Archive of Applied Mechanics | Issue 4/2021

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Abstract

Structural components with arbitrary cross sections play a key role in several engineering fields. Many engineering structures are subjected to torsional moments, so it is important to design and analyze these type of crucial engineering issues. First, this study offers a novel analytical solution for Prandtl’s stress distribution of arbitrary annular wedge-shaped bars under uniform torsion moment based on eigenfunction expansion. Next, warping function is derived by integration of Cauchy-Riemann type relations in polar coordinate system. The solution encompasses existing solutions for standard wedge-shaped bars as subsets. Finally, accuracy of the proposed analytical method is fully demonstrated through some benchmarks which are available in the literature.

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Title: A novel analytical solution for warping analysis of arbitrary annular wedge-shaped bars
Authors: Ali Mahdavi
Mahdi Yazdani
Publication date: 07-01-2021
Publisher: Springer Berlin Heidelberg
Published in: Archive of Applied Mechanics / Issue 4/2021
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI: https://doi.org/10.1007/s00419-020-01858-1

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