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Frequency characteristics and sensitivity analysis of a size-dependent laminated nanoshell

  • Dai, Zuocai (College of Mechanical and Electrical Engineering, Hunan City University) ;
  • Jiang, Zhiyong (Practical Teaching Department, Guilin University of Aerospace Technology) ;
  • Zhang, Liang (School of Aerospace Engineering, Tsinghua University) ;
  • Habibi, Mostafa (Institute of Research and Development, Duy Tan University)
  • Received : 2020.07.25
  • Accepted : 2020.12.30
  • Published : 2021.02.25
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Abstract

In this article, frequency characteristics, and sensitivity analysis of a size-dependent laminated composite cylindrical nanoshell under bi-directional thermal loading using Nonlocal Strain-stress Gradient Theory (NSGT) are presented. The governing equations of the laminated composite cylindrical nanoshell in thermal environment are developed using Hamilton's principle. The thermodynamic equations of the laminated cylindrical nanoshell are obtained using First-order Shear Deformation Theory (FSDT) and Fourier-expansion based Generalized Differential Quadrature element Method (FGDQM) is implemented to solve these equations and obtain natural frequency and critical temperature of the presented model. The novelty of the current study is to consider the effects of bi-directional temperature loading and sensitivity parameter on the critical temperature and frequency characteristics of the laminated composite nanostructure. Apart from semi-numerical solution, a finite element model was presented using the finite element package to simulate the response of the laminated cylindrical shell. The results created from finite element simulation illustrates a close agreement with the semi-numerical method results. Finally, the influences of temperature difference, ply angle, length scale and nonlocal parameters on the critical temperature, sensitivity, and frequency of the laminated composite nanostructure are investigated, in details.

Keywords

Acknowledgement

This work was supported by the Project of Key Laboratory Energy monitoring and Edge Computing for Smart City of Hunan Province (No.2017TP1024), the Scientific Research project of Hunan Education Department (20B113), the Teaching Reform Research Project of Hunan City university (202024), the Curriculum ideological and political education reform of College of Mechanical and Electrical Engineering (202015).

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