Abstract
Based on Reddy’s theory of plates with higher-order shear deformations and the Boltzmann superposition principles, the governing equations were established for dynamic stability of viscoelastic plates with finite deformations taking account of shear effects. The Galerkin method was applied to simplify the set of equations. The numerical methods in nonlinear dynamics were used to solve the simplified system. It could be seen that there are plenty of dynamic properties for this kind of viscoelastic plates under transverse harmonic loads. The influences of the transverse shear deformations and material parameter on the dynamic behavior of nonlinear viscoelastic plates were investigated.
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Project supported by the Development Foundation of Shanghai Municipal Commission of Education (99A01) and the Postdoctoral Science Foundation of Shanghai
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Li, JJ., Cheng, CJ. & Zhang, NH. Dynamic stability of viscoelastic plates with finite deformation and shear effects. J. of Shanghai Univ. 6, 115–124 (2002). https://doi.org/10.1007/s11741-002-0018-z
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DOI: https://doi.org/10.1007/s11741-002-0018-z