free vibration analysis Pfgm nanoplate using nonlocal four variables shear deformation plate theory

What is it about?

Abstract: This paper shows an analysis of the free vibration of functionally graded simply supported nanoplate. The nonlocal four variables shear deformation plate theory is used to predict the free vibration frequencies of functionally graded nanoplate simply supported using non-local elasticity theory with the introduction of small-scale effects. The effect of the material properties, thickness-length ratio, aspect ratio, the exponent of the power law, the vibration mode is presented, the current solutions are compared to those obtained by other researchers. Equilibrium equations are obtained using the virtual displacements principle. P-FGM Power law is used to have a distribution of material properties that vary across the thickness. The results are in good agreement with those of the literature.

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Photo by Nizzah Khusnunnisa on Unsplash

Photo by Nizzah Khusnunnisa on Unsplash

Why is it important?

This work presents a study of the free vibration of functionally graded nanoplates simply supported using a four-variable shear strain plate theory. Current solutions of the dimensionless frequency are compared with those of the finite element method presented by Zargaripoor et al [53] and the solutions obtained by other researchers. small effects are introduced using non-local elasticity theory. In this paper the effect of the material property, aspect ratio, and other parameters is presented

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