期刊
MODERN PHYSICS LETTERS B
卷 35, 期 2, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217984921500524
关键词
Non-local strain gradient theory; the spinning and longitudinal motion; viscoelasticity; nanotubes conveying fluid; thermal effect
资金
- National Natural Science Foundation of China [11705001, 11902001]
- China Postdoctoral Science Foundation [2018M641643]
- Natural Science Foundation of Anhui Province [1808085QA12, 1908085QA13, 1808085ME-128]
- Key research projects of Humanities and Social Sciences in Colleges and Universities of Anhui Province [SK2019A0121]
- Support program for outstanding young talents in Colleges and Universities of Anhui Province [gxyq2020166]
- Anhui Key Laboratory of Mine Intelligent Equipment and Technology
- Middle-aged Top-notch Talent and Innovative Team Support Programs of Anhui Polytechnic University
- Anhui University of Science and Technology [201901004]
This paper investigates the thermal effect on wave dispersion characteristics in viscoelastic carbon nanotubes conveying fluid, discussing the influences of various factors on the dispersion relation through numerical simulation and drawing interesting conclusions from the results.
In this paper, the thermal effect on wave dispersion characteristic induced by the spinning and longitudinal motions in the viscoelastic carbon nanotubes (CNTs) conveying fluid is presented. Hamilton's principle is utilized to derive the governing equation of this nanotube based on the non-local strain gradient and Euler-Bernoulli beam theories. Then, the dispersion solution is found by using the Naiver method. Based on this, the influences of the spinning and longitudinal motion velocities, structural damping, temperature and flow velocity on dispersion relation of the nanotubes are discussed according to numerical simulation. In view of the results of numerical examples, some interesting conclusions can be drawn. The existence of spinning motion leads to the coupling between the vibration in the y and z directions, which induces that the first-order transverse wave frequency increases/decreases for small/large wave number and the second-order one increases. The important solutions presented in the work will provide the useful information for the designation of the nanotubes conveying fluid with the spinning and longitudinal motion.
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