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作者:

Wang, Yu (Wang, Yu.) | Li, Feng-Ming (Li, Feng-Ming.) | Wang, Yi-Ze (Wang, Yi-Ze.)

收录:

Scopus SCIE

摘要:

The nonlinear dynamical equations are established for the double layered viscoelastic nanoplates (DLNP) subjected to in-plane excitation based on the nonlocal theory and von Karman large deformation theory. The extended high dimensional homoclinic Melnikov method is employed to study the homoclinic phenomena and chaotic motions for the parametrically excited DLNP system. The criteria for the homoclinic transverse intersection for both the asynchronous and synchronous buckling cases are proposed. Lyapunov exponents and phase portraits are obtained to verify the Melnikov-type analysis. The influences of structural parameters on the transverse homoclinic orbits and homoclinic bifurcation sets are discussed for the two buckling cases. Some novel phenomena are observed in the investigation. It should be noticed that the nonlocal effect on the homoclinic behaviors and chaotic motions is quite remarkable. Hence, the small scale effect should be taken into account for homoclinic and chaotic analysis for nanostructures. It is significant that the nonlocal effect on the homoclinic phenomena for the asynchronous buckling case is quite different from that for the synchronous buckling case. Moreover, due to the van der Walls interaction between the layers, the nonlocal effect on the homoclinic behaviors and chaotic motions for high order mode is rather tiny under the asynchronous buckling condition. (C) 2015 AIP Publishing LLC.

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作者机构:

  • [ 1 ] [Wang, Yu]Harbin Inst Technol, Sch Astronaut, Harbin 150001, Peoples R China
  • [ 2 ] [Li, Feng-Ming]Harbin Inst Technol, Sch Astronaut, Harbin 150001, Peoples R China
  • [ 3 ] [Wang, Yi-Ze]Harbin Inst Technol, Sch Astronaut, Harbin 150001, Peoples R China
  • [ 4 ] [Li, Feng-Ming]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

通讯作者信息:

  • 李凤明

    [Li, Feng-Ming]Harbin Inst Technol, Sch Astronaut, POB 137, Harbin 150001, Peoples R China

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来源 :

CHAOS

ISSN: 1054-1500

年份: 2015

期: 6

卷: 25

2 . 9 0 0

JCR@2022

ESI学科: PHYSICS;

ESI高被引阀值:190

JCR分区:1

中科院分区:2

被引次数:

WoS核心集被引频次: 16

SCOPUS被引频次: 23

ESI高被引论文在榜: 0 展开所有

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