Dynamic Analysis of Functionally Graded Nanobeams Using Various Shear Deformation Theories Based on Doublet Mechanics

Document Type : Research Article

Authors

Department of Mechanical Engineering, Tarbiat Modares University, Tehran, 1464753111, Iran

Abstract

This study investigates the vibrational behavior of a functionally graded beam using the doublet mechanics theory. This theory accounts for interactions between constituent atoms within a structure, enabling consideration of atomic-scale structure and orientation relative to the beam axis. While classical Euler–Bernoulli and Timoshenko beam theories are commonly used within the framework of doublet mechanics, they typically neglect key terms associated with shear deformation effects. To overcome this limitation, the present research introduces the novel application of higher-order shear deformation theories (HSDTs) within the doublet mechanics framework. This approach, not previously explored in the literature, provides more accurate predictions of vibrational characteristics. The results reveal that employing doublet mechanics can significantly influence natural frequencies, with deviations of up to 5%.

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References

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