Modal frequency analysis of traveling waves in carbon nanotube rotating functionally gradient conical-cylindrical connected shell

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Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (9) : 166-174.

PANG Lei1, CHENG Long1, LIU Wenguang1, ZHANG Yuhang1, L Zhipeng2

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Abstract

This paper focuses on the impact of carbon nanotubes on the vibration characteristics of rotating FGMs joined conical-cylindrical shells, aiming to enhance their performance and stability. First, artificial springs are employed to simulate the connection conditions between boundary conditions and shell structures. The energy equations of the system are derived by considering different distribution patterns of carbon nanotubes and utilizing the microscopic mechanics model. Furthermore, the displacement function is constructed by using Chebyshev polynomials, and the modal frequency equations of the structures are solved by using Rayleigh-Ritz method. The effects of parameters, including the ceramic volume fraction exponent, the boundary conditions, and the carbon nanotube volume fraction, on the traveling wave modal frequency of structures are thoroughly examined using numerical examples. The major results in the paper include: the traveling wave frequency is notably influenced by the V-shaped distribution within the gradient exponent range of 0 to 5; with an increase in rotational speed, the impact of boundary constraints intensifies, resulting in enhanced stability of the structure; increasing the volume fraction of carbon nanotubes leads to higher traveling wave modal frequencies of the structures.

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rotating FGMs joined conical-cylindrical shells / carbon nanotube / traveling wave modal frequency

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PANG Lei1, CHENG Long1, LIU Wenguang1, ZHANG Yuhang1, L Zhipeng2. Modal frequency analysis of traveling waves in carbon nanotube rotating functionally gradient conical-cylindrical connected shell[J]. Journal of Vibration and Shock, 2024, 43(9): 166-174

References

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