doi: 10.16186/j.cnki.1673-9787.2023030066

Received: 2023/03/27

Revised: 2023/08/10

Published: 2024/05/15

Vibrational characteristics of the rotating FG-GPLRC cylindrical shell

WANG Yu, XU Ziqiang, LI Hao, WANG Peng, XU Hongda, ZHANG Ying

School of Mechanical Engineering & Automation，  University of Science and Technology Liaoning，  Anshan 114051，  Liaoning，   China

Abstract:  Objectives  This study aims to investigate the vibrational characteristics of functionally graded graphene platelets reinforced composite (FG-GPLRC) rotating cylindrical shell. Methods The equivalent material properties of graphene-reinforced structures in various distribution patterns are predicted using the improved Halpin-Tsai micromechanical model and composite inclusion theory. In addition, the energy expressions for the FG-GPLRC rotating cylindrical shell are derived using the first-order shear deformation theory, with consideration of Coriolis and centrifugal forces caused by rotation. Furthermore, Chebyshev polynomials are used to construct the displacement admissible functions. The traveling wave vibrational characteristics of the FG-GPLRC shell are analyzed based on the Rayleigh-Ritz method, solving the dynamical differential equations of the shell to obtain frequencies. The accuracy of the method is verified by comparison with existing literature data, and the effects of layer number, rotating speed, mass fraction, and distribution patterns of graphene platelets on the vibrational characteristics of the rotating shell are analyzed. Results The vibrational characteristics of the FG-GPLRC rotating cylindrical shell can be predicted with 10 layers of graphene platelets. For each 0.5% increase in graphene mass fraction below 2%,  both the forward and backward traveling wave frequencies of the shell are significantly increased. In different modes, the traveling wave frequencies are highest in the GPL-X distribution pattern and lowest in the GPL-O distribution pattern. Additionally, the traveling wave frequencies increase with the rotating speed. Under elastic boundary conditions, the traveling wave frequencies also increase with the axial half wave number. Conclusions Graphene platelets in the GPL-X distribution pattern lead to an increase in the equivalent modulus of elasticity of the FG-GPLRC rotating cylindrical shell, offering the best reinforcement effect on the structural stiffness of the shell. Both the forward and backward traveling wave frequencies increase in parallel with the rotating speed of the shell.

Key words: graphene-reinforced material; Rayleigh-Ritz method; rotating cylindrical shell; Halpin-Tsai micromechanical model; elastic boundary