Two-mode Galerkin approach in dynamic stability analysis of viscoelastic plates
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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 integropartial-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.
Key wordsviscoelastic plate dynamic stability von Kármán's hypothesis Galerkin method chaos Hopf bifurcation
Chinese Library ClassificationO345
2000 MR Subject Classification74D10 74H55 74K20 74S30
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