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Research
Vibration of FG Shell Rested on Winkler Foundation
Abdellatif Selmi
Prince Sattam bin Abdulaziz University
Corresponding Author
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Love’s first a pproximation theory is employed with the combination of Winkler term for the vibration of functionally graded cylindrical shell. MATLAB software is utilized for the vibration of functionally graded cylindrical shell with elastic foundation of Winkler and t he results are verified with the open literature. For isotropic materials, the physical properties are same everywhere where the laminated and functionally graded materials, they vary from point to point. Here the shell material has been taken as functiona lly graded material. The influence of the elastic foundation, wave number, length - and height - to - radius ratios is investigated with different boundary conditions. The frequencies of length - to - radius and height - to - radius ratio are counter part of each other . The frequency first increases and gain maximum value in the midway of the shell length and then lowers down for the variations of wave number. It is found that due to inducting the elastic foundation of Winkler, the frequencies increases.
Keywords
FGM, Stainless steel, Winkler foundation, natural frequency
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This is a preprint. It has not completed peer review.
Research
Vibration of FG Shell Rested on Winkler Foundation
Abdellatif Selmi
Prince Sattam bin Abdulaziz University
Corresponding Author
Badges
Prescreen
This manuscript passed our Prescreen assessment
Complete author information
Appropriate declaration statements
Potential risks to human health
Prescreen
History
CURRENT STATUS: Posted
Version 1
Posted 28 Dec, 2020
No community comments so far
Metrics
Comments: 0
PDF Downloads: ...
HTML Views: ...
Subject Areas
Civil Engineering
License:
This work is licensed under a CC BY 4.0 License. Read Full License
Love’s first a pproximation theory is employed with the combination of Winkler term for the vibration of functionally graded cylindrical shell. MATLAB software is utilized for the vibration of functionally graded cylindrical shell with elastic foundation of Winkler and t he results are verified with the open literature. For isotropic materials, the physical properties are same everywhere where the laminated and functionally graded materials, they vary from point to point. Here the shell material has been taken as functiona lly graded material. The influence of the elastic foundation, wave number, length - and height - to - radius ratios is investigated with different boundary conditions. The frequencies of length - to - radius and height - to - radius ratio are counter part of each other . The frequency first increases and gain maximum value in the midway of the shell length and then lowers down for the variations of wave number. It is found that due to inducting the elastic foundation of Winkler, the frequencies increases.
Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
Due to technical limitations, full-text HTML conversion of this manuscript could not be completed. However, the latest manuscript can be downloaded and accessed as a PDF.