Abstract
The goal of this study is to compare and investigate the free vibration characteristics of detailed and homogenized models for functionally graded carbon nanotube-reinforced composite (FG-CNTRC) beams, based on the finite element method (FEM). In this study, three types of FG-CNTRC beams and boundary conditions are considered for different volume fractions of CNT: UD (uniformly distributed), FG-X, and FG-Λ beams. These beams in which single-walled carbon nanotubes (SWCNTs) are distributed with a gradient through the thickness are employed and analyzed for simply supported (SS), clamped-clamped (CC), and free-free (FF) boundary conditions. For the homogenized model, the effective material properties are determined in terms of the CNT volume fraction using the linear rule of mixture. A commercial midas NFX program is used for finite element simulations to analyze the free vibration responses of FG-CNTRC beams. The numerical results are compared with the existing analytical solutions in the literature in order to validate the developed finite element models.
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Acknowledgments
This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No.2020R1A2C110029).
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Hyeong Jin Kim received his B.S. and M.S. degrees from the Hongik University and Pusan National University in 2020 and 2022, respectively. He is currently a Ph.D. student at the Department of Mechanical Engineering in University College London. His major research field is the nonlinear structural mechanics, analysis, and design of ships and offshore structures.
Jin-Rae Cho received his B.S. degree in Aeronautical Engineering from Seoul National University in 1983. He then received his M.S. and Ph.D. degrees from the University of Texas at Austin in 1993 and 1995, respectively. He is currently a Professor at the Department of Naval Architecture and Ocean Engineering in Hongik University. His major research field is the computational mechanics in solid/structural mechanics, ocean engineering and materials science.
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Kim, H.J., Cho, JR. A numerical study on free vibration analysis of detailed and homogenized models for FG-CNTRC beams. J Mech Sci Technol 37, 229–238 (2023). https://doi.org/10.1007/s12206-022-1224-1
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DOI: https://doi.org/10.1007/s12206-022-1224-1