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Author:

Zhang, Y.F. (Zhang, Y.F..) | Ma, L. (Ma, L..) | Zhang, W. (Zhang, W..) | Gu, X.J. (Gu, X.J..)

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EI Scopus SCIE

Abstract:

In this study, the nonlinear dynamic behaviors are investigated for the functionally graded graphene platelet (FGGP) reinforced composite rotating warping blade under combined the aerodynamic force and centrifugal force. The blade is simplified to a FGGP reinforced composite rotating warping cantilever plate with a rectangular cross-section. Four distribution patterns of the graphene platelets (GPLs) along the thickness of the plate are considered when establishing the dynamic model. The effective material parameters, Poisson's ratio, mass density and Young's modulus of the FGGP reinforced composite rotating warping cantilever plate are calculated based on the modified Halpin-Tsai model and mixture rule. Considering the warping effect, the dynamic governing equations of motion for the rotating FGGP reinforced composite cantilever plate subjected to the aerodynamic force and centrifugal force are established by using the first-order shear deformation theory and Hamilton's principle. Galerkin approach is exploited to transform the partial differential equations of motion to the ordinary differential equations of motion the FGGP reinforced composite rotating warping cantilever plate. Four-dimensional autonomous averaging equations of the system are obtained by using the asymptotic perturbation method. The parameter analyzes on the amplitude-frequency and force-amplitude responses of the FGGP reinforced composite rotating warping cantilever plate are carried out by considering the 1:2 internal resonance and principal parametric resonance. The stability of the steady solution of the autonomous system is discussed. The influences of the GPL distribution patterns, rotating speed, aerodynamic force and damping on the chaotic dynamics are investigated for the FGGP reinforced composite rotating warping cantilever plate. © 2022 Elsevier Inc.

Keyword:

Nanocantilevers Graphene Perturbation techniques Equations of motion Elastic moduli Plates (structural components) Shear flow Ordinary differential equations Shear deformation Frequency response Reinforcement Platelets

Author Community:

  • [ 1 ] [Zhang, Y.F.]Department of Mechanics, GuangXi University, GuangXi; 530004, China
  • [ 2 ] [Zhang, Y.F.]School of Aerospace Engineering, Shenyang Aerospace University, Liaoning; 110136, China
  • [ 3 ] [Ma, L.]Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China
  • [ 4 ] [Zhang, W.]Department of Mechanics, GuangXi University, GuangXi; 530004, China
  • [ 5 ] [Zhang, W.]Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China
  • [ 6 ] [Gu, X.J.]Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China

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Source :

Applied Mathematical Modelling

ISSN: 0307-904X

Year: 2023

Volume: 113

Page: 44-70

5 . 0 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:19

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 29

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 4

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