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Author:

Guo, Xiangying (Guo, Xiangying.) | Zhang, Yang (Zhang, Yang.) | Zhang, Wei (Zhang, Wei.) | Sun, Lin (Sun, Lin.) | Chen, Shuping (Chen, Shuping.)

Indexed by:

EI Scopus SCIE

Abstract:

Predicting the nonlinear vibration responses of a Z-shaped folding wing during the morphing process is a prerequisite for structural design analysis. Therefore, the present study focuses on the nonlinear dynamical characteristics of a Z-shaped folding wing. The folding wing is divided into three carbon fiber composite plates connected by rigid hinges. The nonlinear dynamic equations of the system are derived using Hamilton's principle based on the von Karman equations and classical laminate plate theory. The mode shape functions of the system are then obtained using finite element analysis. Galerkin's approach is employed to discretize the partial differential governing equations into a two-degree-of-freedom nonlinear system. The case of 1: 1 inner resonance is considered. The method of multiple scales is employed to obtain the averaged equations of the system. Finally, numerical simulation is performed to investigate the nonlinear dynamical characteristics of the system. Bifurcation diagrams and wave-form diagrams illustrate the different motions of the Z-shaped folding wing, including periodic and chaotic motions under given conditions. The influence of transverse excitations on the bifurcations and chaotic motion of the Z-shaped folding wing is investigated numerically.

Keyword:

finite element analysis numerical simulation Z-shaped folding wing nonlinear vibration

Author Community:

  • [ 1 ] [Guo, Xiangying]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 2 ] [Zhang, Yang]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 3 ] [Zhang, Wei]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 4 ] [Sun, Lin]China Shipbldg Ind Corp, Inst 760, Dalian 100124, Peoples R China
  • [ 5 ] [Chen, Shuping]Xiamen Univ Technol, Coll Math, Xiamen 361024, Peoples R China

Reprint Author's Address:

  • 张伟

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

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Source :

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

ISSN: 0218-1274

Year: 2017

Issue: 8

Volume: 27

2 . 2 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:66

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 22

SCOPUS Cited Count: 18

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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