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作者:

Yu, Tian-Jun (Yu, Tian-Jun.) | Zhang, Wei (Zhang, Wei.) | Yang, Xiao-Dong (Yang, Xiao-Dong.) (学者:杨晓东)

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摘要:

Nonlinear dynamics of flexible multibeam structures modeled as an L-shaped beam are investigated systematically considering the modal interactions. Taking into account nonlinear coupling and nonlinear inertia, Hamilton's principle is employed to derive the partial differential governing equations of the structure. Exact mode functions are obtained by the coupled linear equations governing the horizontal and vertical beams and the results are verified by the finite element method. Then the exact modes are adopted to truncate the partial differential governing equations into two coupled nonlinear ordinary differential equations by using Galerkin method. The undamped free oscillations are studied in terms of Jacobi elliptic functions and results indicate that the energy exchanges are continual between the two modes. The saturation and jumping phenomena are then observed for the forced damped multibeam structure. Further, a higher-dimensional, Melnikov-type perturbation method is used to explore the physical mechanism leading to chaotic behaviors for such an autoparametric system. Numerical simulations are performed to validate the theoretical predictions.

关键词:

autoparametric system chaotic motions Flexible multibeam global bifurcations modal analysis nonlinear dynamics

作者机构:

  • [ 1 ] [Yu, Tian-Jun]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 ] [Yang, Xiao-Dong]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China

通讯作者信息:

  • [Zhang, Wei]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China

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来源 :

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

ISSN: 0218-1274

年份: 2017

期: 3

卷: 27

2 . 2 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:39

中科院分区:3

被引次数:

WoS核心集被引频次: 12

SCOPUS被引频次: 10

ESI高被引论文在榜: 0 展开所有

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