Abstract A modeling of the large amplitude free vibration of pretwisted hybrid composite blades is studied by considering the laminated structure which is composed of carbon nanotube reinforced composite (CNTRC) layers and matrix cracked fiber reinforced composite (FRC) layers. Two assumptions are made to facilitate this vibration study of hybrid nanocomposite: (1) CNTs are distributed across the layer thickness uniformly or functionally graded, and (2) the parallel slit matrix cracks disperse in the matrix homogeneously. Based on the theory of differential geometry, a novel shell model for pretwisted hybrid nanocomposites blade is developed. The von Karman strains are adopted to capture the geometrically nonlinear behaviors of blades. The established governing equations are solved accurately and efficiently via the IMLS-Ritz method. The proposed numerical model is verified by making comparison studies and then the influence of crack density, pretwisted angle, CNT distribution and volume fraction, aspect ratio, width-to-thickness ratio, and ply-angle on the large amplitude vibration characteristics of matrix cracked pretwisted hybrid composite blade are scrutinized systematically. The present study serves as a useful benchmark to researchers who intend do further research in this topic.

中文翻译：

---

模拟包含 CNTRC 层和基体裂纹 FRC 层的预扭混合复合材料叶片的大振幅振动

摘要 考虑由碳纳米管增强复合材料（CNTRC）层和基体裂纹纤维增强复合材料（FRC）层组成的层状结构，研究了预扭混合复合材料叶片的大振幅自由振动建模。为了促进混合纳米复合材料的这种振动研究，做出了两个假设：（1）碳纳米管均匀地或功能分级地分布在整个层厚度上，以及（2）平行狭缝基体裂纹均匀地分散在基体中。基于微分几何理论，开发了一种新型的预扭混合纳米复合材料叶片壳模型。采用 von Karman 应变来捕捉叶片的几何非线性行为。通过 IMLS-Ritz 方法准确有效地求解建立的控制方程。通过对比研究验证了所提出的数值模型，然后验证了裂纹密度、预扭曲角、碳纳米管分布和体积分数、纵横比、宽厚比和层板角度对基体裂纹大振幅振动特性的影响。预扭混合复合材料叶片被系统地检查。本研究可为打算在该主题上进行进一步研究的研究人员提供有用的基准。