Free vibration analysis of rotating pre-twisted ceramic matrix carbon nanotubes reinforced blades

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.

Keywords:

• Elastic boundary constraints
• ceramic matrix composite
• carbon nanotubes
• rotate the pre-twisted blade
• free vibration

Acknowledgments

This project is supported by the National Natural Science Foundation of China (No. 52075086) and the Fundamental Research Funds for the Central Universities (Nos. N180313008, N182410007-06, and N170308028).

Additional information

Funding

This project is supported by the National Natural Science Foundation of China (No. 52075086) and the Fundamental Research Funds for the Central Universities (Nos. N180313008, N182410007-06, and N170308028).