Parameter Interval Uncertainty Analysis of Internal Resonance of Rotating Porous Shaft-Disk-Blade Assemblies Reinforced by Graphene Nanoplatelets.

Yi Cai,Jie Yang,Tian-Yu Zhao,Zi-Feng Liu

doi:10.3390/ma14175033

Abstract

This paper conducts a parameter interval uncertainty analysis of the internal resonance of a rotating porous shaft–disk–blade assembly reinforced by graphene nanoplatelets (GPLs). The nanocomposite rotating assembly is considered to be composed of a porous metal matrix and graphene nanoplatelet (GPL) reinforcement material. Effective material properties are obtained by using the rule of mixture and the Halpin–Tsai micromechanical model. The modeling and internal resonance analysis of a rotating shaft–disk–blade assembly are carried out based on the finite element method. Moreover, based on the Chebyshev polynomial approximation method, the parameter interval uncertainty analysis of the rotating assembly is conducted. The effects of the uncertainties of the GPL length-to-width ratio, porosity coefficient and GPL length-to-thickness ratio are investigated in detail. The present analysis procedure can give an interval estimation of the vibration behavior of porous shaft–disk–blade rotors reinforced with graphene nanoplatelets (GPLs).

Highlights

Shaft–disk–blade assemblies are commonly applied in many rotor structures, such as gas turbines, aero-engines, and so on
Many scholars have focused on the vibration behaviors of shaft–disk–blade assemblies [1,2,3]
Twinkle et al [16] studied the vibrations of porous cylindrical panels reinforced with graphene nanoplatelets (GPLs)

Summary

Introduction

Shaft–disk–blade assemblies are commonly applied in many rotor structures, such as gas turbines, aero-engines, and so on. Twinkle et al [16] studied the vibrations of porous cylindrical panels reinforced with GPLs. Considering the effect of the elastic medium, Mohammad et al [17] investigated the nonlinear performance of a GPL-reinforced functionally graded (FG) conical panel. In which en and e1 are the mass density coefficients and porosity coefficients, respectively; and υ*(z), ρ*(z) and E*(z) are the Poisson’s ratio, mass density and Young’s modulus in the case of no pores, respectively. In which EM and EGPL are the Young’s modulus of the matrix and GPLs, respectively. Where W0 and λ are the characteristic value and weight fraction index of GPLs, respectively

Finite Element Implementation

Results and Discussions

Conclusions