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Author:

Ma, Ting (Ma, Ting.) | Zhang, Wei (Zhang, Wei.) | Zhang, Yufei (Zhang, Yufei.) | Amer, A. (Amer, A..) | Lim, C. W. (Lim, C. W..)

Indexed by:

EI Scopus SCIE

Abstract:

This paper investigates the nonlinear bifurcation and chaos characteristics of piezoelectric composite lattice sandwich plates at 1:3 internal resonance. The nonlinear vibration partial differential equation is first discretized to become an ordinary differential equation by applying the Galerkin method. The main resonance modulation equations and the parametric resonance for the external excitation frequency that is close to the system's second-order modal frequency are then obtained by using the multiscale method. The Newton-Raphson method is subsequently applied to obtain the bifurcation diagram of the steady-state equilibrium of modulation equation with varying system parameters. The equilibrium stability is finally analyzed. We confirm the existence of static bifurcation such as saddle-node bifurcation, pitchfork bifurcation, and Hopf dynamic bifurcation. A detailed analysis is also conducted on the complex nonlinear jump phenomenon caused by the presence of multiple nonlinear steady-state solution regions. In the dynamic Hopf bifurcation interval, the fourth-order Runge-Kutta method is used to continue to track the dynamic periodic solution of the modulation equation in Cartesian coordinates. It is found that there are multiple boundary crises and attractor merging crises in the vibration system for piezoelectric composite lattice sandwich plates.

Keyword:

Hopf bifurcation piezoelectric chaos resonance Bifurcation nonlinear jump phenomenon lattice sandwich plate

Author Community:

  • [ 1 ] [Ma, Ting]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 2 ] [Zhang, Wei]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 3 ] [Zhang, Wei]GuangXi Univ, Dept Mech, Nanning 530004, Peoples R China
  • [ 4 ] [Zhang, Yufei]GuangXi Univ, Dept Mech, Nanning 530004, Peoples R China
  • [ 5 ] [Amer, A.]GuangXi Univ, Dept Mech, Nanning 530004, Peoples R China
  • [ 6 ] [Zhang, Wei]GuangXi Univ, State Key Lab Featured Met Mat & Life Cycle Safety, Nanning 530004, Peoples R China
  • [ 7 ] [Zhang, Yufei]GuangXi Univ, State Key Lab Featured Met Mat & Life Cycle Safety, Nanning 530004, Peoples R China
  • [ 8 ] [Amer, A.]GuangXi Univ, State Key Lab Featured Met Mat & Life Cycle Safety, Nanning 530004, Peoples R China
  • [ 9 ] [Amer, A.]Menoufia Univ, Fac Sci, Dept Math & Comp Sci, Shibin Al Kawm, Egypt
  • [ 10 ] [Lim, C. W.]Menoufia Univ, Fac Sci, Dept Math & Comp Sci, Shibin Al Kawm, Egypt
  • [ 11 ] [Lim, C. W.]City Univ Hong Kong, Dept Architecture & Civil Engn, Kowloon, Hong Kong, Peoples R China

Reprint Author's Address:

  • [Ma, Ting]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China;;[Zhang, Wei]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China;;

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Source :

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

ISSN: 0218-1274

Year: 2023

Issue: 04

Volume: 34

2 . 2 0 0

JCR@2022

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 2

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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