Free vibration analysis of functionally graded grapheme-reinforced composite thick plates with simply supported on four sides

Abstract

Abstract: The vibration characteristic of four-edge simply supported functionally graded graphene reinforced thick plates is investigated by using the quasi-3D plate theory. The main properties of FG-GRC thick plates are calculated for different distributions within the improved Halpin-Tsai model. The governing equations are proposed according to the Hamilton’s principle, and the solutions were obtained by using the Navier’s method. Some parameters are adjusted to clarify the effects of the weight fraction of graphene nanosheets (GPLs), the total number of layers of FG-GRC plate, the distribution pattern of GPLs, and the aspect ratio on the natural frequency of free vibration. The quasi-3D plate theory takes into account the effect of thickness stretching, therefore, it is more accurate than the classical plate theory, first-order plate theory, and Reddy third-order plate theory in the calculation of thick plate.

Key words: functionally graded graphene reinforced composite, thick plate, quasi-3D plate theory, Navier’s method, free vibration

CLC Number:

O343
TB34

LEI Fang-ming. Free vibration analysis of functionally graded grapheme-reinforced composite thick plates with simply supported on four sides[J]. Journal of Lanzhou University of Technology, 2023, 49(4): 166-172.

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