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Shear effects on large amplitude forced vibration of symmetrically laminated rectilinearly orthotropic circular plates

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Abstract

In this paper, nonlinear forced vibration of symmetrically laminated rectilinearly orthotropic circular plates excited by a harmonic forceq 0cosωt including effects of transverse shear deformation is discussed. The analytical solution for the relationship between forcing frequency and amplitude of vibration is obtained by Galerkin's method. Finally, the paper analyses the effect of the transverse shear on the vibration of the plate and gives the ratio of nonlinear period to linear period for nonlinear free vibration of the plate.

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Authors and Affiliations

  1. Department of Aircraft Engineering, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, P. R. China

    Xu Jiachu

  2. Institute of Mathematics and Mechanics, Jinan University, 510632, Guangzhou, P. R. China

    Liu Renhuai

Authors
  1. Xu Jiachu
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  2. Liu Renhuai
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Project supported by the National Natural Science Foundation and National Aeronautical Foundation of China

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Jiachu, X., Renhuai, L. Shear effects on large amplitude forced vibration of symmetrically laminated rectilinearly orthotropic circular plates. Appl Math Mech 19, 111–119 (1998). https://doi.org/10.1007/BF02457678

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  • DOI: https://doi.org/10.1007/BF02457678

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