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Article

Vibration Analysis of Fluid Conveying Carbon Nanotubes Based on Nonlocal Timoshenko Beam Theory by Spectral Element Method

by
Xiaolei Yi
,
Baohui Li
* and
Zhengzhong Wang
College of Water Resources and Architectural Engineering, Northwest A&F University, Yangling 712100, China
*
Author to whom correspondence should be addressed.
Nanomaterials 2019, 9(12), 1780; https://doi.org/10.3390/nano9121780
Submission received: 8 November 2019 / Revised: 6 December 2019 / Accepted: 11 December 2019 / Published: 14 December 2019
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Abstract

In this work, we applied the spectral element method (SEM) to analyze the dynamic characteristics of fluid conveying single-walled carbon nanotubes (SWCNTs). First, the dynamic equations for fluid conveying SWCNTs were deduced based on the nonlocal Timoshenko beam theory. Then, the spectral element formulation was established for a free/forced vibration analysis of fluid conveying SWCNTs by introducing discrete Fourier transform. Furthermore, the proposed method was validated using several comparison examples. Finally, the natural frequencies and dynamic responses of a simply-supported fluid conveying SWCNTs were calculated by the SEM, considering different internal fluid velocities and small-scale parameters (SSPs). The effects of fluid velocity and SSPs on the dynamic characteristics of SWCNTs conveying fluid were revealed by the numerical results. Compared with other methods, the SEM shows high accuracy and efficiency.
Keywords: fluid conveying SWCNT; nonlocal Timoshenko beam; spectral element method; dynamic response; natural frequency fluid conveying SWCNT; nonlocal Timoshenko beam; spectral element method; dynamic response; natural frequency

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MDPI and ACS Style

Yi, X.; Li, B.; Wang, Z. Vibration Analysis of Fluid Conveying Carbon Nanotubes Based on Nonlocal Timoshenko Beam Theory by Spectral Element Method. Nanomaterials 2019, 9, 1780. https://doi.org/10.3390/nano9121780

AMA Style

Yi X, Li B, Wang Z. Vibration Analysis of Fluid Conveying Carbon Nanotubes Based on Nonlocal Timoshenko Beam Theory by Spectral Element Method. Nanomaterials. 2019; 9(12):1780. https://doi.org/10.3390/nano9121780

Chicago/Turabian Style

Yi, Xiaolei, Baohui Li, and Zhengzhong Wang. 2019. "Vibration Analysis of Fluid Conveying Carbon Nanotubes Based on Nonlocal Timoshenko Beam Theory by Spectral Element Method" Nanomaterials 9, no. 12: 1780. https://doi.org/10.3390/nano9121780

APA Style

Yi, X., Li, B., & Wang, Z. (2019). Vibration Analysis of Fluid Conveying Carbon Nanotubes Based on Nonlocal Timoshenko Beam Theory by Spectral Element Method. Nanomaterials, 9(12), 1780. https://doi.org/10.3390/nano9121780

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