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Advances in Nano Research Volume 10, Number 2, February 2021 , pages 175-189 DOI: https://doi.org/10.12989/anr.2021.10.2.175 |
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Frequency characteristics and sensitivity analysis of a size-dependent laminated nanoshell |
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Zuocai Dai, Zhiyong Jiang, Liang Zhang and Mostafa Habibi
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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. | ||
| Key Words | ||
| finite element method; laminated cylindrical nanoshell; sensitivity analysis; bi-directional thermal loading; FGDQM | ||
| Address | ||
| (1) Zuocai Dai: College of Mechanical and Electrical Engineering, Hunan City University, Yiyang 413002, Hunan, China (2) Zuocai Dai: Key Laboratory Energy monitoring and Edge Computing for Smart City of Hunan Province, Yiyang 413002, Hunan, China (3) Zhiyong Jiang: Practical Teaching Department, Guilin University of Aerospace Technology, Guilin 541004, Guangxi, China (4) Liang Zhang: School of Aerospace Engineering, Tsinghua University, Beijing 100084, China (5) Mostafa Habibi: Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam (6) Mostafa Habibi: Faculty of Electrical – Electronic Engineering, Duy Tan University, Da Nang 550000, Vietnam | ||