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Steel and Composite Structures Volume 49, Number 6, December 25 2023 , pages 667-684 DOI: https://doi.org/10.12989/scs.2023.49.6.667 |
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Vibrations and stress analysis of perforated functionally graded rotating beams |
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Alaa A. Abdelrahman, Hanaa E. Abd-El-Mottaleb, Mohamed G. Elblassy and Eman A. Elshamy
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| Abstract | ||
| In the context of finite element method, a computational simulation is presented to study and analyze the dynamic behavior of regularly perforated functionally graded rotating beam for the first time. To investigate the effect of perforation configurations, both regular circular and squared perforation patterns are studied. To explore impacts of graded material distributions, both axial and transverse gradation profiles are considered. The material characteristics of graded materials are assumed to be smoothly and continuously varied through the axial or the thickness direction according the nonlinear power gradation law. A computational finite elements procedure is presented. The accuracy of the numerical procedure is verified and compared. Resonant frequencies, axial displacements as well as internal stress distributions throughout the perforated graded rotating cantilever beam are studied. Effects of material distributions, perforation patterns, as well as the rotating beam speed are investigated. Obtained results proved that the graded material distribution has remarkable effects on the dynamic performance. Additionally, circular perforation pattern produces more softening effect compared with squared perforation configuration thus larger values of axial displacements and maximum principal stresses are detected. Moreover, squared perforation provides smaller values of nondimensional frequency parameters at most of vibration modes compared with circular pattern. | ||
| Key Words | ||
| axial and transverse gradation profiles; computational finite elements procedure; dynamic behavior; functionally graded; perforation patterns; regularly perforated functionally graded beams; stress distribution | ||
| Address | ||
| Alaa A. Abdelrahman:Mechanical Design & Production Department, Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt Hanaa E. Abd-El-Mottaleb, Mohamed G. Elblassy and Eman A. Elshamy:Department of structural Engineering, Faculty of Engineering, Zagazig university, P.O. Box 44519, Zagazig, Egypt | ||