TWO-MODE GALERKIN APPROACH IN DYNAMIC STABILITY ANALYSIS OF VISCOELASTIC PLATES

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (3): 247-255.

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TWO-MODE GALERKIN APPROACH IN DYNAMIC STABILITY ANALYSIS OF VISCOELASTIC PLATES

张能辉, 程昌钧

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

收稿日期:2001-09-04 修回日期:2002-12-16 出版日期:2003-03-18 发布日期:2003-03-18
基金资助:
the Development Foundation of Shanghai Municipal Commission of Education(99A01);the Postdoctoral Science Foundation of Shanghai(1999 year)

TWO-MODE GALERKIN APPROACH IN DYNAMIC STABILITY ANALYSIS OF VISCOELASTIC PLATES

ZHANG Neng-hui, CHENG Chang-jun

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:2001-09-04 Revised:2002-12-16 Online:2003-03-18 Published:2003-03-18
Supported by:
the Development Foundation of Shanghai Municipal Commission of Education(99A01);the Postdoctoral Science Foundation of Shanghai(1999 year)

摘要/Abstract

摘要： The dynamic stability of viscoelastic thin plates with large deflections was investigated by using the largest Liapunov exponent analysis and other numerical 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.

Abstract: The dynamic stability of viscoelastic thin plates with large deflections was investigated by using the largest Liapunov exponent analysis and other numerical 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.

中图分类号:

O345

张能辉;程昌钧. TWO-MODE GALERKIN APPROACH IN DYNAMIC STABILITY ANALYSIS OF VISCOELASTIC PLATES[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(3): 247-255.

ZHANG Neng-hui;CHENG Chang-jun. TWO-MODE GALERKIN APPROACH IN DYNAMIC STABILITY ANALYSIS OF VISCOELASTIC PLATES[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(3): 247-255.

参考文献

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TWO-MODE GALERKIN APPROACH IN DYNAMIC STABILITY ANALYSIS OF VISCOELASTIC PLATES

TWO-MODE GALERKIN APPROACH IN DYNAMIC STABILITY ANALYSIS OF VISCOELASTIC PLATES

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