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Author:

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

Indexed by:

Scopus SCIE

Abstract:

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.

Keyword:

Author Community:

  • [ 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

Reprint Author's Address:

  • 李凤明

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

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Source :

CHAOS

ISSN: 1054-1500

Year: 2015

Issue: 6

Volume: 25

2 . 9 0 0

JCR@2022

ESI Discipline: PHYSICS;

ESI HC Threshold:190

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 22

SCOPUS Cited Count: 25

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

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