Torsion of the Truncated Hollow Orthotropic Elastic Body of Rotation

Author:

Ecsedi István1,Baksa Attila1,Habbachi Marwen1

Affiliation:

1. Institute of Applied Mechanics, University of Miskolc, H-3515 Miskolc-Egyetemváros, Miskolc, HUNGARY

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.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

Mechanical Engineering,Mechanics of Materials,General Materials Science

Reference10 articles.

1. Saada, A.S.: Elasticity. Theory and its Application. London, Pergamon Press. (1974).

2. Sokolnikoff, I.S.: Mathematical Theory of Elasticity. McGraw-Hill, New York, (1956).

3. Timoshenko, S.P. Goodier J.N.: Theory of Elasticity. New York, McGraw Hill, 3rd Edition, (1970).

4. Arutynyan, N.H. Abramyan, B.L.: Torsion of Elastic Bodies. in Russian, Moscow, 1963.

5. Lekhniskii, S.G.: Torsion of Anisotropic and Non-Homogenous Beams. in Russian, Moscow (1971).

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