Abstract
This paper conducted the free vibration analysis of a sandwich annular thin plate with whirl motion. The upper and lower faces of the annular plate are made of uniform solid metal, while its core is porous foamed metal reinforced by graphene nanoplatelets (GPLs). Both uniform and non-uniform distributions of GPLs and porosity along the direction of plate thickness which leads to a functionally graded (FG) core are taken into account. The effective material properties including Young’s modulus, Poisson’s ratio and mass density are calculated by employing the Halpin–Tsai model and the rule of mixture, respectively. Based on the Kirchhoff plate theory, the differential equations of motion are derived by applying the Lagrange’s equation. Then, the assumed mode method is utilized to obtain free vibration behaviors of the sandwich annular plate. The finite element method is adopted to verify the present model and vibration analysis. The effects of porosity coefficient, porosity distribution, graphene nanoplatelet (GPL) distribution, graphene nanoplatelet (GPL) weight fraction, graphene nanoplatelet length-to-thickness ratio (GPL-LTR), graphene nanoplatelet length-to-width ratio (GPL-LWR), spinning speed, outer radius-to-thickness ratio and inner radius-to-thickness ratio of the plate, are examined in detail.
Highlights
Spinning disks are widely applied in a rotor machinery, such as aero engines, gas turbines, and so on
This paper aims to fill in this research gap by studying the free vibration of a spinning sandwich annular plate with functionally graded (FG)-graphene nanoplatelets (GPLs) reinforced porous core
The effects of material parameters on the free vibration behaviors of the spinning annular plate with porous core reinforced by GPLs are examined in detailed
Summary
Spinning disks are widely applied in a rotor machinery, such as aero engines, gas turbines, and so on. To meet the requirements of high spinning speed and light weight, thin disks are increasingly used in practical engineering applications. In such cases, the flexibility and the deformation of the disk can no longer be ignored. The thin disk can be modeled as an elastic annular thin plate, whose vibration behaviors have been extensively investigated [1,2,3,4,5]. By employing the finite element method, Pan et al [6] studied the vibration of rotor bearing-disk system subjected to three forces. Yang et al [7] developed a thermal stress stiffening method to investigate the vibration behavior of spinning flexible disks
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