• Complex
  • Title
  • Keyword
  • Abstract
  • Scholars
  • Journal
  • ISSN
  • Conference
搜索

Author:

Ma, T. (Ma, T..) | Zhang, W. (Zhang, W..) | Zhang, Y.F. (Zhang, Y.F..) | Amer, A. (Amer, A..)

Indexed by:

EI Scopus SCIE

Abstract:

This paper is devoted to investigate the nonlinear dynamics, bifurcation and chaos of the piezoelectric composite lattice sandwich plate with 1:3 internal resonance. Galerkin method is used to discretize the nonlinear partial differential governing equations of motion into the ordinary differential equations. The multi-scale method is used to obtain the modulation equations of the piezoelectric composite lattice sandwich plate in the polar coordinates and Cartesian coordinates in the primary and parametric resonances, respectively. Using Newton-Raphson method, the bifurcation diagrams of the steady-state equilibrium solution are obtained for the modulation equation with the change of the system parameters. The stability of the steady-state equilibrium solution is analyzed for the modulation equation. The existence of the static bifurcations, such as the saddle-node bifurcation, pitchfork bifurcation and Hopf dynamic bifurcations are found. The complex nonlinear jump phenomena caused by the existence of the multiple nonlinear steady-state solution regions are analyzed in detail. Fourth-order Runge-Kutta method is used to continue tracing the nonlinear periodic solution of the modulation equation in Cartesian coordinates. The time-history diagram, phase portrait and Poincaré map are obtained for the piezoelectric composite lattice sandwich plate in the nonlinear resonance. The dynamic process of the nonlinear periodic solution is described for the modulation equation from the limit cycle oscillation to the chaotic attractor in detail. © 2024 Elsevier Ltd

Keyword:

Bifurcation Chaos Nonlinear jump phenomenon Resonance Piezoelectric lattice sandwich plates

Author Community:

  • [ 1 ] [Ma T.]College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China
  • [ 2 ] [Zhang W.]College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China
  • [ 3 ] [Zhang W.]Department of Mechanics, GuangXi University, Nanning, 530004, China
  • [ 4 ] [Zhang W.]State Key Laboratory of Featured Metal Materials and Life-cycle Safety for Composite Structures, GuangXi University, GuangXi, 530004, China
  • [ 5 ] [Zhang Y.F.]Department of Mechanics, GuangXi University, Nanning, 530004, China
  • [ 6 ] [Zhang Y.F.]State Key Laboratory of Featured Metal Materials and Life-cycle Safety for Composite Structures, GuangXi University, GuangXi, 530004, China
  • [ 7 ] [Amer A.]Department of Mechanics, GuangXi University, Nanning, 530004, China
  • [ 8 ] [Amer A.]State Key Laboratory of Featured Metal Materials and Life-cycle Safety for Composite Structures, GuangXi University, GuangXi, 530004, China
  • [ 9 ] [Amer A.]Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El-Kom, Egypt

Reprint Author's Address:

Email:

Show more details

Related Keywords:

Source :

Chaos, Solitons and Fractals

ISSN: 0960-0779

Year: 2024

Volume: 183

7 . 8 0 0

JCR@2022

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 3

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 16

Affiliated Colleges:

Online/Total:432/10625483
Address:BJUT Library(100 Pingleyuan,Chaoyang District,Beijing 100124, China Post Code:100124) Contact Us:010-67392185
Copyright:BJUT Library Technical Support:Beijing Aegean Software Co., Ltd.