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Wind and Structures Volume 32, Number 1, January 2021, pages 31-46 DOI: http://dx.doi.org/10.12989/was.2021.32.1.031 |
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Stability/instability of the graphene reinforced nano-sized shell employing modified couple stress model |
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Zhigang Yao, Hui Xie and Yulei Wang
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| Abstract | ||
| The current research deals with, stability/instability and cylindrical composite nano-scaled shell's resonance frequency filled by graphene nanoplatelets (GPLs) under various thermal conditions (linear and nonlinear thermal loadings). The piece-wise GPL-reinforced composites' material properties change through the orientation of cylindrical nano-sized shell's thickness as the temperature changes. Moreover, in order to model all layers' efficient material properties, nanomechanical model of Halpin-Tsai has been applied. A functionally modified couple stress model (FMCS) has been employed to simulate GPLRC nano-sized shell's size dependency. It is firstly investigated that reaching the relative frequency's percentage to 30% would lead to thermal buckling. The current study's originality is in considering the multifarious influences of GPLRC and thermal loading along with FMCS on GPLRC nano-scaled shell's resonance frequencies, relative frequency, dynamic deflection, and thermal buckling. Furthermore, Hamilton's principle is applied to achieve boundary conditions (BCs) and governing motion equations, while the mentioned equations are solved using an analytical approach. The outcomes reveal that a range of distributions in temperature and other mechanical and configurational characteristics have an essential contribution in GPLRC cylindrical nano-scaled shell's relative frequency change, resonance frequency, stability/instability, and dynamic deflection. The current study's outcomes are practical assumptions for materials science designing, nano-mechanical, and micro-mechanical systems such as micro-sized sensors and actuators. | ||
| Key Words | ||
| various thermal distributions; graphene nanoplatelet; resonance frequency; stability/instability; modified couple stress model | ||
| Address | ||
| Zhigang Yao:Department of Electronic and Optic Engineering, Army Engineering University, Shijiazhuang 050003, China/ School of Automation and Electrical Engineering, University of Science and Technology, Beijing 100083, China Hui Xie :Department of Electronic and Optic Engineering, Army Engineering University, Shijiazhuang 050003, China Yulei Wang:Institute of Electronics and Information Engineering, Tongji University, Shanghai 200082, Shanghai, China | ||