Two-Mode Galerkin Approach in Dynamic Stability Analysis of Viscoelastic Plates

ZHANG Neng-hui; CHENG Chang-jun

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(3): 221-228

ZHANG Neng-hui, CHENG Chang-jun. Two-Mode Galerkin Approach in Dynamic Stability Analysis of Viscoelastic Plates[J]. Applied Mathematics and Mechanics, 2003, 24(3): 221-228.

Citation:

ZHANG Neng-hui, CHENG Chang-jun. Two-Mode Galerkin Approach in Dynamic Stability Analysis of Viscoelastic Plates[J]. Applied Mathematics and Mechanics, 2003, 24(3): 221-228.

Citation:

ZHANG Neng-hui, CHENG Chang-jun. Two-Mode Galerkin Approach in Dynamic Stability Analysis of Viscoelastic Plates[J]. Applied Mathematics and Mechanics, 2003, 24(3): 221-228.

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Two-Mode Galerkin Approach in Dynamic Stability Analysis of Viscoelastic Plates

ZHANG Neng-hui^1,2,
CHENG Chang-jun^1,2

1.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China;
2.
Department of Mechanics, Shanghai University, Shanghai 200436, P. R. China

Received Date: 2001-09-04
Rev Recd Date: 2002-12-16
Publish Date: 2003-03-15

Abstract

Abstract

The dynamic stability of viscoelastic thin plates with large deflections was investigated by using the largest Liapunov exponent analysis and other mumerical and analytical dynamic methods.The material behavior was described in terms of the Boltzmann superposition principle.The Galerkin method was used to simplify the original integro-partial-differential model into a two-mode approximate integral model, which further reduced to an ordinary differential model by introducing new variables.The dynamic properties of one-mode and two-mode truncated systems were numerically compared.The influence of viscoelastic properties of the material, the loading amplitude and the initial values on the dynamic behavior of the plate under in-plane periodic excitations was discussed.
- viscoelastic plate,
- dynamic stability,
- von Kûrmûn.shypothesis,
- Galerkin method,
- chaos,
- Hopf bifurcation

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References(11)

References

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