Abstract
The nonlinear dunamic behaviors of viscoelastic rectangular plates including the damage effects under the action of a transverse periodic load were studied. Using the von Karman equations, Boltzmann superposition principle and continuum damage mechanics, the nonlinear dynamic equations in terms of the mid-plane displacements for the viscoelastic thin plates with damage effect were derived. By adopting the finite difference method and Newmark method, these equations were solved. The results were compared with the available data. In the numerical calculations, the effects of the external loading parameters and geometric dimensions of the plate on the nonlinear dynamic responses of the plate were discussed. Research results show that the nonlinear dynamic response of the structure will change remarkably when the damage effect is considered.
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Contributed by FU Yi-ming
Project supported by the National Natural Science Foundation of China (No. 10272024)
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Yu-fang, Z., Yi-ming, F. Effect of damage on nonlinear dynamic properties of viscoelastic rectangular plates. Appl Math Mech 26, 319–326 (2005). https://doi.org/10.1007/BF02440082
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DOI: https://doi.org/10.1007/BF02440082