Torsion of uniform bars with polygon cross-section
type: Item
instance of: scholarly article
title: Torsion of uniform bars with polygon cross-section
zbMATH Open document ID: 1067.74036
DOI: 10.1016/S0898-1221(03)90033-2
author: W. C. Hassenpflug
publication date: 2004-08-06T00:00:00Z
review text: The author uses Trefftz's integral for the complex torsion function to solve the corresponding problem in the case of a polygonal cross-section. By means of Schwartz-Christoffel mapping one derives the governing equations of the problem. The solution is carried out in series form according to von Koppenfels and Stallmann method, by the separation into regular and singular corner functions; Frobenius and Taylor series are thus used. Torsion stiffness is computed, and the effect of rounding of corners, even of concave ones, by circular arcs is estimated. We notice that the convergence disks of Schwarz-Christoffel and Trefftz integrals are the same, which is very convenient. A triangle cross-section, in particular equilateral, isoscele, and rectangulare ones, is considered, as well as regular and general \(n\)-sided polygonal cross-sections. Two appendices contain numerical results.
reviewed by: Petre P. Teodorescu
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74G10
Mathematics Subject Classification ID: 30C20
zbMATH DE Number: 2082586
zbMATH Keywords: Frobenius series solutions
zbMATH Keywords: Trefftz's integral
zbMATH Keywords: Schwartz-Christoffel mapping
describes a project that uses: SCPACK
MaRDI profile type: Publication
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 2082586