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Structural Engineering and Mechanics
  Volume 76, Number 4, November25 2020 , pages 551-559
DOI: https://doi.org/10.12989/sem.2020.76.4.551
 


Propagation characteristics of longitudinal wave, shear wave and bending wave in porous circular nanoplates
Wubin Shan, Zulu Deng, Hao Zhong, Hu Mo, Ziqiang Han, Zhi Yang, Chengyu Xiang, Shuzhou Li and Peng Liu

 
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.
 
Key Words
    flexural wave; shear wave; longitudinal wave; circular nanoplate; nonlocal strain gradient theory
 
Address
Wubin Shan, Zulu Deng, Hao Zhong, Hu Mo,
Ziqiang Han, Zhi Yang, Chengyu Xiang, Shuzhou Li: Hunan Electrical College of Technology, School of elevator engineering, Xiangtan 411100, China
Wubin Shan: State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082, China
Peng Liu: School of Mechanical and Electrical Engineering, Guilin University of Electronic Technology, Guilin, 541004, China
 

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