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 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.
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Contributed by CHENG Chang-jun
Foundation items: the Development Foundation of Shanghai Municipal Commission of Education (99A01); the Postdoctoral Science Foundation of Shanghai (1999 year)
Biography: ZHANG Neng-hui (1970-)
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Neng-hui, Z., Chang-jun, C. Two-mode Galerkin approach in dynamic stability analysis of viscoelastic plates. Appl Math Mech 24, 247–255 (2003). https://doi.org/10.1007/BF02438262
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DOI: https://doi.org/10.1007/BF02438262