Structural Engineering and Mechanics

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Propagation characteristics of longitudinal wave, shear wave and bending wave in porous circular nanoplates

  • Shan, Wubin (Hunan Electrical College of Technology, School of elevator engineering) ;
  • Deng, Zulu (Hunan Electrical College of Technology, School of elevator engineering) ;
  • Zhong, Hao (Hunan Electrical College of Technology, School of elevator engineering) ;
  • Mo, Hu (Hunan Electrical College of Technology, School of elevator engineering) ;
  • Han, Ziqiang (Hunan Electrical College of Technology, School of elevator engineering) ;
  • Yang, Zhi (Hunan Electrical College of Technology, School of elevator engineering) ;
  • Xiang, Chengyu (Hunan Electrical College of Technology, School of elevator engineering) ;
  • Li, Shuzhou (Hunan Electrical College of Technology, School of elevator engineering) ;
  • Liu, Peng (School of Mechanical and Electrical Engineering, Guilin University of Electronic Technology)
  • Received : 2020.05.19
  • Accepted : 2020.11.17
  • Published : 2020.11.25
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Abstract

On the basis of nonlocal strain gradient theory, considering the material properties of porous FGM changing with thickness and the influence of moment of inertia, the wave equation of FG nano circular plate is derived by using the first-order shear deformation plate theory, by introducing dimensionless parameters, we transform the equations into dimensionless wave equations, and the dispersion relations of bending wave, shear wave and longitudinal wave are obtained by Laplace and Hankel integral transformation method. The influence of nonlocal parameter, porosity volume fraction, strain gradient parameters and power law index on the propagation characteristics of bending wave, shear wave and longitudinal wave in FG nano circular plate.

Keywords

Acknowledgement

This paper is funded by Natural Science Foundation of Hunan Province (No. 2020JJ7020).

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