Book ChapterDOI
A Study on the Structural Behaviour of AFG Non-uniform Plates on Elastic Foundation: Static and Free Vibration Analysis
Hareram Lohar,Anirban Mitra,Sarmila Sahoo +2 more
- pp 337-356
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TLDR
In this article, the effect of the stiffness value of the elastic foundation on large deflection and free vibration of AFG non-uniform plate is studied and the governing set of equation of the system is obtained by energy principle through variational method.Abstract:
Plate on elastic foundation is an important realization of actual boundary condition of structures. The present paper studies the effect of the stiffness value of the elastic foundation on large deflection and free vibration of AFG non-uniform plate. Governing set of equation of the system is obtained by energy principle through variational method. Derived nonlinear equations are handled through utilizing an iterative method, which is direct substitution method. The effects of the elastic foundations are represented through load versus maximum deflection plot, deflected shape plot and backbone curves. The effects of the edged boundary conditions and non-uniformity of the plate shape are also highlighted.read more
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Theory of plates and shells
TL;DR: In this article, the authors describe the bending of long RECTANGULAR PLATES to a cycloidal surface, and the resulting deformation of shels without bending the plates.
Journal ArticleDOI
The free vibration of rectangular plates
TL;DR: In this article, the free vibration of rectangular plates is analyzed using the Ritz method with 36 terms containing the products of beam functions, including clamped, simply-supported, and free edge conditions.
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TL;DR: Diverse areas relevant to various aspects of theory and applications of FGM include homogenization of particulate FGM, heat transfer issues, stress, stability and dynamic analyses, testing, manufacturing and design, applications, and fracture.
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