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

作　　者：张能辉 程昌钧 

机构地区：[1]Shanghai Institute of Applied Mathematics and Mechanics [2]Department of Mechanics,Shanghai University,Shanghai 200436,P.R.China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2003年第3期247-255,共9页应用数学和力学（英文版）

基　　金：theDevelopmentFoundationofShanghaiMunicipalCommissionofEducation( 99A0 1 ) ;thePostdoctoralScienceFoundationofShanghai( 1 999year)

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.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.

关 键 词：viscoelastic plate dynamic stability von Krmn's hypothesis Galerkin method CHAOS Hopf bifurcation 

分 类 号：O345[理学—固体力学]