Employing graphene nanoplatelets as a reinforcement for composite materials and structures are quickly developed by scientists and engineers due to its amazing strength and stiffness. To analyze the free vibration behavior of functionally graded nano graphene reinforced composite sandwich beam, a high order three-layer theory was used. Different patterns of graphene nanoplatelet distribution in the face sheets of the sandwich beam were considered. The governing equations were derived using the Hamilton principle. Navier analytical method was applied to solve the extracted equations and obtain the natural frequencies of the beams. Effects of various parameters such as graphene distribution pattern, weight fraction, dimensions of the graphene nanoplatelet, length-to-thickness ratio, and face thickness-to-total thickness ratio on natural frequencies of sandwich beams were investigated. Comparing the obtained and published results in especial cases confirmed that present mathematical modeling and formulation were accurate and reliable. The results showed that reinforcing the composite sandwich beams by graphene nanoplatelets increases their natural frequencies.
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Kheirikhah, M.M., Ghiasvand, M., Gohari, S. et al. Free Vibration Analysis of Composite Sandwich Beams Reinforced by Functionally Graded Graphene Nanoplatelets. Mech Compos Mater 59, 959–976 (2023). https://doi.org/10.1007/s11029-023-10145-3
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DOI: https://doi.org/10.1007/s11029-023-10145-3