@article{ZHANG2025, 
author = {Haochen ZHANG and Mingjun HAN and Ruilong FENG},
title = {Nonlinear static and dynamic characteristics of functionally graded graphene platelets reinforced beam in supersonic flow},
year = {2025},
journal = {Journal of Capital Normal University (Natural Science Edition)},
volume = {46},
number = {2},
pages = {43-51},
keywords = {graphene platelets, functional graded, beam, aeroelasticity},
url = {https://www.sciopen.com/article/10.19789/j.1004-9398.2025.02.007},
doi = {10.19789/j.1004-9398.2025.02.007},
abstract = {To investigate the nonlinear static and dynamic characteristics of functionally graded graphene platelets reinforced composite beam(FG-GPLRC)under the combined action of aerodynamic load and temperature. A nonlinear vibration model of functionally graded graphene platelets(GPL) reinforced beam in supersonic flow is established based on the classical beam theory and first-order piston theory. Firstly, considering that GPL presents three different gradient distributions(U-GPLRC, OGPLRC and X-GPLRC)along the thickness direction, deriving the functional gradient graphene platelets reinforced beam aeroelastic control differential equation by applying Hamilton's principle. Secondly, using the Galliukin method, it is transformed into a nonlinear ordinary differential equation, and then the determination of the Hopf bifurcation is transformed into the root of the nonlinear equation using the stability criterion of the Routh-Hurwitz system. The effects of temperature, GPL mass fraction and distribution pattern on the stability of FG-GPLRC beam aeroelasticity were analyzed by parametric study. The solution yields dimensionless critical flow velocity, dimensionless critical frequency, and dimensionless dynamic pressure. Finally, the aeroelastic stability of the FG-GPLRC beam was verified by numerical calculations. the results show that the higher the mass fraction of gpl, the more significant the enhancement effect, and the x-gplrc distribution pattern has the best enhancement effect. the research results will provide theoretical reference for the design optimization of fg-gplrc beam.}
}