首页|Nonlinear resonance and chaos in rotating functionally graded carbon nanotube-reinforced composite annular plates

Nonlinear resonance and chaos in rotating functionally graded carbon nanotube-reinforced composite annular plates

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This article investigates the nonlinear forced vibration behavior of a functionally graded carbon nanotube-reinforced composite (FG-CNTRC) rotating annular plate subjected to external excitation forces. First, the governing equations are established based on the first-order shear deformation theory (FSDT) and the Hamiltonian principle. Subsequently, the Galerkin method is utilized to discretize the nonlinear equations. Considering pinned and fixed boundary conditions, the multi-scale method is used to derive analytical solutions. By comparing the results with existing literature, good consistency is achieved, validating the accuracy of the research. Finally, the influences of different parameters on the nonlinear vibration of the annular plate are analyzed. The results indicate that temperature, distribution patterns and volume fraction of CNTs, rotational velocity, and geometric configurations of the plate significantly affect the resonance position. Additionally, the damping coefficient and external load exhibit a pronounced impact on the resonance domain but do not affect the natural frequency. As external excitation varies, periodic motion and chaotic phenomena are observed in the system.

annular platecarbon nanotubeschaotic phenomenaexternal excitationnonlinear forced vibration

G.L. She、J.Q. Xu

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College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing 400044, China

2025

Advances in Aircraft and Spacecraft Science

Advances in Aircraft and Spacecraft Science

ISSN:2287-528X
年,卷(期):2025.12(1)
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