Torsion of the Truncated Hollow Orthotropic Elastic Body of Rotation

Q3 Engineering

WSEAS Transactions on Applied and Theoretical Mechanics Pub Date : 2023-10-13 DOI:10.37394/232011.2023.18.18

István Ecsedi, Attila Baksa, Marwen Habbachi

引用次数: 0

Abstract

This paper deals with the torsion of the body of rotation. The meridian section of the body is bounded by two ellipses and two straight lines which are perpendicular to the axis of rotation of the body. The material of the body is elastic and cylindrical orthotropic. To solve the torsion problem, the theory of the torsion of shafts of varying circular cross-sections is used, which was developed by Mitchell and Töppl. An analytical solution is given for the shearing stresses and circumferential displacement. A numerical example illustrates the application of the presented analytical solution. The results of this paper can be used as a benchmark solution to verify the accuracy of the results computed by finite element simulations and finite different methods.

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截断空心正交各向异性旋转弹性体的扭转

本文讨论了旋转体的扭转问题。物体的子午线由两条椭圆和两条垂直于物体旋转轴的直线所包围。身体的材料是弹性和圆柱形正交各向异性。为了解决扭转问题，采用了米切尔和Töppl提出的变圆截面轴的扭转理论。给出了剪切应力和周向位移的解析解。数值算例说明了该解析解的应用。本文的计算结果可作为基准解，验证有限元模拟和有限不同方法计算结果的准确性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

WSEAS Transactions on Applied and Theoretical Mechanics Engineering-Computational Mechanics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Applied and Theoretical Mechanics publishes original research papers relating to computational and experimental mechanics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with fluid-structure interaction, impact and multibody dynamics, nonlinear dynamics, structural dynamics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.