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Author:

Zhang, Y. F. (Zhang, Y. F..) | Niu, Y. (Niu, Y..) | Zhang, W. (Zhang, W..)

Indexed by:

EI Scopus SCIE

Abstract:

The nonlinear and chaotic vibrations of the rotating functionally graded graphene platelet reinforced composite (FG-GPLRC) pre-twisted blade subjected to the aerodynamic force are investigated by taking into account the cantilever boundary condition. The rotating FG-GPLRC pre-twisted blade is simplified to a rotating FG-GPLRC pre-twisted cylindrical panel. The graphene platelets (GPLs) are dispersed uniformly and oriented randomly in every layer while the GPL volume fractions vary from the layer to layer, which leads to four different GPL distribution patterns. Based on the strain-displacement relationship of the pre-twisted cylindrical panel derived by Green strain tensor, the natural frequencies of the rotating FG-GPLRC pre-twisted cylindrical panel are obtained by using the first-order shear deformation theory and Chebyshev-Ritz method. Lagrange's formulation is used to derive the nonlinear ordinary differential equations of motion. The complex chaotic vibrations of the rotating FG-GPLRC pre-twisted cylindrical panel are investigated by performing numerical simulations on the basis of Runge-Kutta algorithm. The bifurcation diagrams, Lyapunov exponents, time histories, phase portraits and Poincare maps are depicted to detect the periodic and chaotic vibrations of the rotating FG-GPLRC pre -twisted cylindrical panel with different parameters, such as Coriolis force, GPL distribution pattern, steady-state rotating speed, perturbation rotating speed and aerodynamic force. The double-parameter maximum Lyapunov exponent is regarded as an effective method to detect the chaotic regions of the rotating FG-GPLRC pre-twisted cylindrical panel.

Keyword:

Lagrange?s formulation Pre-twisted cylindrical panel Rotating blade Graphene platelets Double-parameter bifurcation diagram

Author Community:

  • [ 1 ] [Zhang, Y. F.]GuangXi Univ, Dept Mech, Guangxi 530004, Peoples R China
  • [ 2 ] [Zhang, W.]GuangXi Univ, Dept Mech, Guangxi 530004, Peoples R China
  • [ 3 ] [Zhang, Y. F.]Shenyang Aerosp Univ, Sch Aerosp Engn, Liaoning 110136, Peoples R China
  • [ 4 ] [Niu, Y.]Tiangong Univ, Sch Artificial Intelligence, Tianjin 300387, Peoples R China
  • [ 5 ] [Niu, Y.]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech S, Beijing 100124, Peoples R China
  • [ 6 ] [Zhang, W.]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech S, Beijing 100124, Peoples R China

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Source :

THIN-WALLED STRUCTURES

ISSN: 0263-8231

Year: 2022

Volume: 181

6 . 4

JCR@2022

6 . 4 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:49

JCR Journal Grade:1

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count: 15

SCOPUS Cited Count: 15

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

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