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Proceedings of the 2010 International Conference on Mechanical, Industrial, and Manufacturing Technologies (MIMT 2010)
By
International Association of Computer Science and Information Technology (IACSIT)
International Association of Computer Science and Information Technology (IACSIT)
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ISBN:
9780791859544
No. of Pages:
590
Publisher:
ASME Press
Publication date:
2010
eBook Chapter
37 Three Dimensional Vibration Analysis of Functionally Graded Super-Elliptical Plates
By
Amini Mohamad
,
Amini Mohamad
Mechanical Engineering Department,
University College of Engineering
, Iran
University of Science and Technology
, Iran
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Azadeh Mohamad
Azadeh Mohamad
Mechanical Engineering Department,
University College of Engineering, University of Tehran
, Iran
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Page Count:
5
-
Published:2010
Citation
Mohamad, A, & Mohamad, A. "Three Dimensional Vibration Analysis of Functionally Graded Super-Elliptical Plates." Proceedings of the 2010 International Conference on Mechanical, Industrial, and Manufacturing Technologies (MIMT 2010). Ed. International Association of Computer Science and Information Technology (IACSIT). ASME Press, 2010.
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This paper describes a study of three-dimensional vibration characteristics of functionally graded super-elliptical plates with different boundary conditions. The analysis is based on the three-dimensional small-strain, linear and elasticity theory. The Ritz method is applied to derive the frequency equation. The triplicate Chebyshev polynomial series form the backbones of the admissible functions, as modified by a characteristic boundary function to ensure the satisfaction of geometric boundary conditions of the plate. The accuracy of these results is verified by appropriate convergence studies and checked with the available literature as well as the 3-D theory.
Abstract
Key Words
1. Introduction
2. Mathematical Formulation
3. Numerical Results and Discussion
4.Conclusion
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