Abstract

A novel dynamic model for rotating pre-twisted carbon nanotubes reinforced composite (CNTRC) blades with elastic boundary constraints is established based on the first-order shear deformation theory (FSDT). The effects of Coriolis and centrifugal forces are considered in the formulation. Based on the Euler-Lagrange equations, the natural frequencies and vibration modes of a rotating pre-twisted blade are obtained. The model’s accuracy is verified by comparing it with the results in the literature and Ansys. The influence of distributions of CNTs, pre-twist angle, rotation speed, and stagger angle on the vibration of the ceramic matrix CNTRC blade is studied in detail.

摘要

基于一阶剪切变形理论（FSDT），建立了具有弹性边界约束的旋转预缠绕碳纳米管增强复合材料（CNTRC）叶片的新型动力学模型。在配方中考虑了科氏力和离心力的影响。基于欧拉-拉格朗日方程，获得了旋转的预扭曲叶片的固有频率和振动模式。通过与文献和Ansys中的结果进行比较，验证了模型的准确性。详细研究了碳纳米管的分布，预扭转角，旋转速度和交错角对陶瓷基碳纳米管叶片振动的影响。