Bifurcation analysis of a nonlinear viscoelastic panel

Qiang Han; Haiyan Hu

doi:10.1016/S0997-7538(01)01166-4

Bifurcation analysis of a nonlinear viscoelastic panel

Qiang Han
, Haiyan Hu

South China University of Technology
Nanjing University of Aeronautics and Astronautics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

The dynamic behavior of a nonlinear viscoelastic panel subjected to a simple harmonic excitation is studied. Using the Galerkin principle, the double-mode model is presented in this paper. The bifurcation behavior of the panel is examined in detail in the case of internal response. The method of averaging is used to derive a set of autonomous equations. The averaged differential equations are then examined to determine their bifurcation behavior. Finally, the results of theoretical analysis are numerically verified.

Original language	English
Pages (from-to)	827-839
Number of pages	13
Journal	European Journal of Mechanics, A/Solids
Volume	20
Issue number	5
DOIs	https://doi.org/10.1016/S0997-7538(01)01166-4
Publication status	Published - 2001
Externally published	Yes

Keywords

Bifurcation
Internal resonance
Mode
Stability

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10.1016/S0997-7538(01)01166-4

Cite this

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title = "Bifurcation analysis of a nonlinear viscoelastic panel",

abstract = "The dynamic behavior of a nonlinear viscoelastic panel subjected to a simple harmonic excitation is studied. Using the Galerkin principle, the double-mode model is presented in this paper. The bifurcation behavior of the panel is examined in detail in the case of internal response. The method of averaging is used to derive a set of autonomous equations. The averaged differential equations are then examined to determine their bifurcation behavior. Finally, the results of theoretical analysis are numerically verified.",

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AU - Han, Qiang

AU - Hu, Haiyan

PY - 2001

Y1 - 2001

N2 - The dynamic behavior of a nonlinear viscoelastic panel subjected to a simple harmonic excitation is studied. Using the Galerkin principle, the double-mode model is presented in this paper. The bifurcation behavior of the panel is examined in detail in the case of internal response. The method of averaging is used to derive a set of autonomous equations. The averaged differential equations are then examined to determine their bifurcation behavior. Finally, the results of theoretical analysis are numerically verified.

AB - The dynamic behavior of a nonlinear viscoelastic panel subjected to a simple harmonic excitation is studied. Using the Galerkin principle, the double-mode model is presented in this paper. The bifurcation behavior of the panel is examined in detail in the case of internal response. The method of averaging is used to derive a set of autonomous equations. The averaged differential equations are then examined to determine their bifurcation behavior. Finally, the results of theoretical analysis are numerically verified.

KW - Bifurcation

KW - Internal resonance

KW - Mode

KW - Stability

UR - https://www.scopus.com/pages/publications/0035443785

U2 - 10.1016/S0997-7538(01)01166-4

DO - 10.1016/S0997-7538(01)01166-4

M3 - Article

AN - SCOPUS:0035443785

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VL - 20

SP - 827

EP - 839

JO - European Journal of Mechanics, A/Solids

JF - European Journal of Mechanics, A/Solids

IS - 5

ER -

Bifurcation analysis of a nonlinear viscoelastic panel

Abstract

Keywords

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