Structural Engineering and Mechanics

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Wave propagation in a FG circular plate via the physical neutral surface concept

  • She, Gui-Lin (College of Mechanical and Vehicle Engineering, Chongqing University) ;
  • Ding, Hao-Xuan (College of Mechanical and Vehicle Engineering, Chongqing University) ;
  • Zhang, Yi-Wen (College of Mechanical and Vehicle Engineering, Chongqing University)
  • Received : 2021.06.01
  • Accepted : 2022.01.21
  • Published : 2022.04.25
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Abstract

In this paper, the physical neutral surface concept is applied to study the wave propagation of functionally graded (FG) circular plate, the wave equation is derived by Hamiltonian variational principle and the first-order shear deformation plate model. Then, we convert the equations to dimensionless equations. The exact solution of wave propagation problem is obtained by Laplace integral transformation, the first order Hankel integral transformation and the zero order Hankel integral transformation. The results obtained by the current model are very close to those obtained in the existing literature, which indicates the correctness and reliability of this study. Moreover, the effects of the functionally graded index parameters and pore volume fraction on the wave propagation are also discussed in detail.

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References

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