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作者:

Zhang, Y. F. (Zhang, Y. F..) (学者:张跃飞) | Niu, Y. (Niu, Y..) | Zhang, W. (Zhang, W..) (学者:张伟)

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EI SCIE

摘要:

This paper investigates the complex nonlinear vibrations and internal resonance of the rotating blade subjected to the aerodynamic force, which is simplified to a pretwisted rotating cantilever rectangular plate with the varying cross-section and varying rotating speed. Considering the effects of the cross-section warping, pretwisted and presetting angles, the nonlinear partial differential governing equations of motion are established based on the third-order shear deformation theory, von Karman large deformation theory and Hamilton principle. Two-degree-of-freedom nonlinear ordinary differential equations of motion are obtained by using Galerkin method. The method of multiple scales is applied to obtain the averaged equations under the case of the primary parametric resonance-1/2 subharmonic resonance and 1:2 internal resonance. Numerical simulations are performed to portray the amplitude-frequency response and amplitude-force response curves, bifurcations and chaotic dynamics of the pretwisted rotating cantilever rectangular plate by discussing the influences of the aerodynamic force and rotating speed perturbation. The bifurcation diagrams, maximum Lyapunov exponents, phase portraits, waveforms and Poincare maps are utilized to illustrate the complex nonlinear vibrations of the pretwisted rotating cantilever rectangular plate.

关键词:

Aerodynamic force Nonlinear vibrations Pretwist angle Rotating cantilever rectangular plate Varying cross-section and varying rotating speed

作者机构:

  • [ 1 ] [Zhang, Y. F.]Shenyang Aerosp Univ, Sch Aerosp Engn, Shenyang 110136, Liaoning, Peoples R China
  • [ 2 ] [Niu, Y.]Beijing Univ Technol, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 3 ] [Zhang, W.]Beijing Univ Technol, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Coll Mech Engn, Beijing 100124, Peoples R China

通讯作者信息:

  • 张伟

    [Niu, Y.]Beijing Univ Technol, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Coll Mech Engn, Beijing 100124, Peoples R China;;[Zhang, W.]Beijing Univ Technol, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Coll Mech Engn, Beijing 100124, Peoples R China

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来源 :

ENGINEERING STRUCTURES

ISSN: 0141-0296

年份: 2020

卷: 225

5 . 5 0 0

JCR@2022

ESI学科: ENGINEERING;

ESI高被引阀值:28

JCR分区:1

被引次数:

WoS核心集被引频次: 40

SCOPUS被引频次: 26

ESI高被引论文在榜: 0 展开所有

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