In this study, the flutter analysis of a rotating pre-twisted functionally graded graphene nanoplatelets reinforced composite (FG GPLRC) blade under supersonic airflow is investigated. The pre-twisted blade is multi-layered and reinforced with graphene nanoplatelets (GPLs) evenly distributed in each layer while the GPL weight fraction changes from layer to layer through the thickness direction. The effective Young's modulus is determined by Halpin-Tsai micromechanical model while the Poisson's ratio and mass density are predicted by Voigt's rule for GPLRC layers. According to assumptions of the first-order shear deformation theory (FSDT), the first-order piston theory and shell theory, the dynamic model of rotating pre-twisted GPLRC blades subjected to supersonic flow is developed. Meshless the improved moving least-square Ritz method (IMLS-Ritz) is used to derive the discrete dynamic equations of rotating pre-twisted GPLRC blades under aerodynamic load. The accuracy of the IMLS-Ritz method for this problem is validated by comprehensive convergence studies and careful comparison studies. A detailed parameter investigation of the effects of GPL distribution configuration, rotation velocity and geometrical parameters on flutter behavior characteristics of GPLRC blades is systematically conducted.

在这项研究中，研究了在超音速气流下旋转预扭曲功能梯度石墨烯纳米片增强复合材料 (FG GPLRC) 叶片的颤振分析。预扭曲叶片是多层的，并由石墨烯纳米片 (GPL) 加强，均匀分布在每层中，而 GPL 的重量分数在厚度方向上逐层变化。有效杨氏模量由 Halpin-Tsai 微机械模型确定，而泊松比和质量密度由 GPLRC 层的 Voigt 规则预测。根据一阶剪切变形理论（FSDT）、一阶活塞理论和壳理论的假设，建立了旋转预扭曲 GPLRC 叶片在超声速流动作用下的动力学模型。无网格改进的移动最小二乘 Ritz 方法 (IMLS-Ritz) 用于推导在气动载荷下旋转预扭曲 GPLRC 叶片的离散动力学方程。IMLS-Ritz 方法对这个问题的准确性通过全面的收敛研究和仔细的比较研究得到验证。系统地进行了 GPL 分布配置、旋转速度和几何参数对 GPLRC 叶片颤振行为特性影响的详细参数研究。