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作者:

Niu, Yan (Niu, Yan.) | Yao, Minghui (Yao, Minghui.) (学者:姚明辉) | Zhang, Wei (Zhang, Wei.) (学者:张伟) | Liu, Yaze (Liu, Yaze.) | Ma, Li (Ma, Li.) (学者:李明爱)

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EI SCIE

摘要:

This paper investigates the nonlinear vibrations of the rotating pretwisted cylindrical panel under higher-frequency primary resonance and lower-frequency primary resonance for the case of 1:2 internal resonances. An accurate strain-displacement relationship is derived by the Green strain tensor. First-order shear deformation theory and Hamilton principle are utilized to establish the partial differential governing equation of the rotating cylindrical panel. Galerkin approach is employed to obtain the two-degree-of-freedom nonlinear system, which contains coupling between linear stiffness terms of the two transverse modes. The method of multiple scales is used to obtain the modulation equations for the amplitudes and phases. Numerical simulations are performed to show amplitude-frequency responses and bifurcation behaviors of the system. Two types of numerical methods are compared to describe the amplitude-frequency responses of the system. The results show the accuracy of our proposed method. The effects of the detuning parameter, the damping coefficient and the excitation amplitude on amplitude-frequency responses and bifurcation behaviors are fully discussed.

关键词:

amplitude-frequency response bifurcation behavior internal resonance rotating cylindrical panel Rotating pretwisted blade

作者机构:

  • [ 1 ] [Niu, Yan]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 2 ] [Zhang, Wei]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 3 ] [Liu, Yaze]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 4 ] [Ma, Li]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 5 ] [Yao, Minghui]Tiangong Univ, Sch Artificial Intelligence, Tianjin 300387, Peoples R China

通讯作者信息:

  • 姚明辉

    [Yao, Minghui]Tiangong Univ, Sch Artificial Intelligence, Tianjin 300387, Peoples R China

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来源 :

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

ISSN: 0218-1274

年份: 2020

期: 13

卷: 30

2 . 2 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:15

JCR分区:2

被引次数:

WoS核心集被引频次: 8

SCOPUS被引频次: 8

ESI高被引论文在榜: 0 展开所有

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