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作者:

Zhang, W. (Zhang, W..) (学者:张伟) | Liu, T. (Liu, T..) | Xi, A. (Xi, A..) | Wang, Y. N. (Wang, Y. N..)

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摘要:

This paper is focused on the resonant responses and chaotic dynamics of a composite laminated circular cylindrical shell with radially pre-stretched membranes at both ends and clamped along a generatrix. Based on the two-degree-of-freedom non-autonomous nonlinear equations of this system, the method of multiple scales is employed to obtain the four-dimensional nonlinear averaged equation. The resonant case considered here is the primary parametric resonance-1/2 subharmonic resonance and 1: 1 internal resonance. Corresponding to several selected parameters, the frequency- response curves are obtained. From the numerical results, we find that the hardening-spring-type behaviors and jump phenomena are exhibited. The jump phenomena also occur in the amplitude curves of the temperature parameter excitation. Moreover, it is found that the temperature parameter excitation, the coupling degree of two order modes and the detuning parameters can effect the nonlinear oscillations of this system. The periodic and chaotic motions of the composite laminated circular cylindrical shell clamped along a generatrix are demonstrated by the bifurcation diagrams, the maximum Lyapunov exponents, the phase portraits, the waveforms, the power spectrums and the Poincare map. The temperature parameter excitation shows that the Pomeau-Manneville type intermittent chaos occur under the certain initial conditions. It is also found that there exist the twin phenomena between the Pomeau-Manneville type intermittent chaos and the period-doubling bifurcation. (C) 2018 Elsevier Ltd. All rights reserved.

关键词:

Composite laminated circular cylindrical shell Frequency-response curves Nonlinear oscillations Pomeau-Manneville Pre-stretched membranes Type intermittent chaos

作者机构:

  • [ 1 ] [Zhang, W.]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 2 ] [Liu, T.]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 3 ] [Xi, A.]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 4 ] [Wang, Y. N.]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China

通讯作者信息:

  • 张伟

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

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来源 :

JOURNAL OF SOUND AND VIBRATION

ISSN: 0022-460X

年份: 2018

卷: 423

页码: 65-99

4 . 7 0 0

JCR@2022

ESI学科: ENGINEERING;

ESI高被引阀值:76

JCR分区:1

被引次数:

WoS核心集被引频次: 86

SCOPUS被引频次: 79

ESI高被引论文在榜: 0 展开所有

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