Flutter Characteristics Analysis of Functionally Graded Graphene Shallow Shells Based on a Curvature Correction Model
摘要
This study enhances aeroelastic stability in functionally graded graphene-reinforced composite (FG-GRC) shells for high-speed vehicles. An innovative aeroelastic model incorporating curvature correction effects overcomes traditional homogeneous material limitations. Material properties varying continuously through the thickness were characterized. Novel nonlinear governing equations coupling graphene distribution patterns and mass fractions were formulated. Computational methods solved the reduced equations. Results show curvature correction significantly alters stiffness distribution. Graphene reinforcement increases the flutter critical static pressure by orders of magnitude compared to pure resin. Graded reinforcement patterns further enhance the critical pressure by 2%-7% over uniform distribution, confirming the crucial role of spatial configuration. Critical pressure positively correlates with graphene content in specific graded patterns, while significant differences exist for the same content under different distributions. Phase diagrams reveal aerodynamic parameters influence instability thresholds. The research provides a curvature correction model and gradient optimization methodology for lightweight aerospace shell anti-flutter design, enhancing hypersonic vehicle stability.