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Structural Engineering and Mechanics Volume 54, Number 1, April10 2015 , pages 135-148 DOI: https://doi.org/10.12989/sem.2015.54.1.135 |
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Effect of the rotation on a non-homogeneous infinite cylinder of orthotropic material with external magnetic field |
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Nahed S. Hussein, F.S. Bayones and S.R. Mahmoud
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| Abstract | ||
| The present investigation is concerned with a study effect of magnetic field and nonhomogenous on the elastic stresses in rotating orthotropic infinite circular cylinder. A certain boundary conditions closed form stress fields solutions are obtained for rotating orthotropic cylinder under initial magnetic field with constant thickness for three cases: (1) Solid cylinder, (2) Cylinder with a circular hole at the center, (3) Cylinder mounted on a circular rigid shaft. Analytical expressions for the components of the displacement and stress fields in different cases are obtained. The effect of rotation and magnetic field and non-homogeneity on the displacement and stress fields are studied. Numerical results are illustrated graphically for each case. The effects of rotating and magnetic field and non-homogeneity are discussed. | ||
| Key Words | ||
| magnetic field; rotation; free vibrations; non-homogeneous; orthotropic cylinder | ||
| Address | ||
| Nahed S. Hussein: Department of Mathematics, Faculty of Science, Taif University, Saudi Arabia; Department of Mathematics, Faculty of Science, Cairo University, Egypt F.S. Bayones: Department of Mathematics, Faculty of Science, Taif University, Saudi Arabia S.R. Mahmoud: Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia; Mathematics Department, Faculty of Science, Sohag University, Egypt | ||