Natural Frequency and Stability Tuning of Cantilevered CNTs Conveying Fluid in Magnetic Field
This paper investigates the dynamics of cantilevered CNTs conveying fluid in longitudinal magnetic field and presents the possibility of controlling/tuning the stability of the CNT system with the aid of magnetic field. The slender CNT is treated as an Euler-Bernoulli beam. Based on nonlocal elastic...
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| Published in | Acta mechanica solida Sinica Vol. 29; no. 6; pp. 567 - 576 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Singapore
Elsevier Ltd
01.12.2016
Springer Singapore |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0894-9166 1860-2134 |
| DOI | 10.1016/S0894-9166(16)30328-7 |
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| Abstract | This paper investigates the dynamics of cantilevered CNTs conveying fluid in longitudinal magnetic field and presents the possibility of controlling/tuning the stability of the CNT system with the aid of magnetic field. The slender CNT is treated as an Euler-Bernoulli beam. Based on nonlocal elasticity theory, the equation of motion with consideration of magnetic field effect is developed. This partial differential equation is then discretized using the differential quadrature method (DQM). Numerical results show that the nonlocal small-scale parameter makes the fluid-conveying CNT more flexible and can shift the unstable mode in which flutter instability occurs first at sufficiently high flow velocity from one to another. More importantly, the addition of a longitudinal magnetic field leads to much richer dynamical behaviors of the CNT system. Indeed, the presence of longitudinal magnetic field can significantly affect the evolution of natural frequency of the dynamical system when the flow velocity is successively increased. With increasing magnetic field parameter, it is shown that the CNT system behaves stiffer and hence the critical flow velocity becomes higher. It is of particular interest that when the magnetic field parameter is equal to or larger than the flow velocity, the cantilevered CNT conveying fluid becomes unconditionally stable, indicating that the dynamic stability of the system can be controlled due to the presence of a longitudinal magnetic field. |
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| AbstractList | This paper investigates the dynamics of cantilevered CNTs conveying fluid in longitudinal magnetic field and presents the possibility of controlling/tuning the stability of the CNT system with the aid of magnetic field. The slender CNT is treated as an Euler-Bernoulli beam. Based on nonlocal elasticity theory, the equation of motion with consideration of magnetic field effect is developed. This partial differential equation is then discretized using the differential quadrature method (DQM). Numerical results show that the nonlocal small-scale parameter makes the fluid-conveying CNT more flexible and can shift the unstable mode in which flutter instability occurs first at sufficiently high flow velocity from one to another. More importantly, the addition of a longitudinal magnetic field leads to much richer dynamical behaviors of the CNT system. Indeed, the presence of longitudinal magnetic field can significantly affect the evolution of natural frequency of the dynamical system when the flow velocity is successively increased. With increasing magnetic field parameter, it is shown that the CNT system behaves stiffer and hence the critical flow velocity becomes higher. It is of particular interest that when the magnetic field parameter is equal to or larger than the flow velocity, the cantilevered CNT conveying fluid becomes unconditionally stable, indicating that the dynamic stability of the system can be controlled due to the presence of a longitudinal magnetic field. This paper investigates the dynamics of cantilevered CNTs conveying fluid in lon- gitudinal magnetic field and presents the possibility of controlling/tuning the stability of the CNT system with the aid of magnetic field. The slender CNT is treated as an Euler-Bernoulli beam. Based on nonlocal elasticity theory, the equation of motion with consideration of magnetic field effect is developed. This partial differential equation is then discretized using the differen- tial quadrature method （DQM）. Numerical results show that the nonlocal small-scale parameter makes the fluid-conveying CNT more flexible and can shift the unstable mode in which flutter instability occurs first at sufficiently high flow velocity from one to another. More importantly, the addition of a longitudinal magnetic field leads to much richer dynamical behaviors of the CNT system. Indeed, the presence of longitudinal magnetic field can significantly affect the evolution of natural frequency of the dynamical system when the flow velocity is successively increased. With increasing magnetic field parameter, it is shown that the CNT system behaves stiffer and hence the critical flow velocity becomes higher. It is of particular interest that when the mag- netic field parameter is equal to or larger than the flow velocity, the cantilevered CNT conveying fluid becomes unconditionally stable, indicating that the dynamic stability of the system can be controlled due to the presence of a longitudinal magnetic field. |
| Author | Hong, Yuanzhuo Wang, Lin Dai, Huliang Ni, Qiao |
| AuthorAffiliation | Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Wuhan 430074, China |
| Author_xml | – sequence: 1 givenname: Lin surname: Wang fullname: Wang, Lin – sequence: 2 givenname: Yuanzhuo surname: Hong fullname: Hong, Yuanzhuo – sequence: 3 givenname: Huliang surname: Dai fullname: Dai, Huliang email: daihulianglx@hust.edu.cn – sequence: 4 givenname: Qiao surname: Ni fullname: Ni, Qiao |
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| Notes | This paper investigates the dynamics of cantilevered CNTs conveying fluid in lon- gitudinal magnetic field and presents the possibility of controlling/tuning the stability of the CNT system with the aid of magnetic field. The slender CNT is treated as an Euler-Bernoulli beam. Based on nonlocal elasticity theory, the equation of motion with consideration of magnetic field effect is developed. This partial differential equation is then discretized using the differen- tial quadrature method （DQM）. Numerical results show that the nonlocal small-scale parameter makes the fluid-conveying CNT more flexible and can shift the unstable mode in which flutter instability occurs first at sufficiently high flow velocity from one to another. More importantly, the addition of a longitudinal magnetic field leads to much richer dynamical behaviors of the CNT system. Indeed, the presence of longitudinal magnetic field can significantly affect the evolution of natural frequency of the dynamical system when the flow velocity is successively increased. With increasing magnetic field parameter, it is shown that the CNT system behaves stiffer and hence the critical flow velocity becomes higher. It is of particular interest that when the mag- netic field parameter is equal to or larger than the flow velocity, the cantilevered CNT conveying fluid becomes unconditionally stable, indicating that the dynamic stability of the system can be controlled due to the presence of a longitudinal magnetic field. CNT conveying fluid, dynamics, frequency, stability, magnetic field 42-1121/O3 |
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Phys. Lett. doi: 10.1063/1.3117505 – volume: 101 start-page: 034319 year: 2007 ident: 10.1016/S0894-9166(16)30328-7_bib23 article-title: Wave propagation in single- and double-walled carbon nanotubes willed with fluid publication-title: J. Appl. Phys. doi: 10.1063/1.2432025 |
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| Snippet | This paper investigates the dynamics of cantilevered CNTs conveying fluid in lon- gitudinal magnetic field and presents the possibility of controlling/tuning... This paper investigates the dynamics of cantilevered CNTs conveying fluid in longitudinal magnetic field and presents the possibility of controlling/tuning the... |
| SourceID | crossref springer elsevier chongqing |
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| StartPage | 567 |
| SubjectTerms | Classical Mechanics CNT conveying fluid dynamics Engineering frequency magnetic field stability Surfaces and Interfaces Theoretical and Applied Mechanics Thin Films 动态稳定性 固有频率 悬臂 流体动力学 碳纳米管 离子输送 纵向磁场 调谐 |
| Title | Natural Frequency and Stability Tuning of Cantilevered CNTs Conveying Fluid in Magnetic Field |
| URI | http://lib.cqvip.com/qk/87045X/201606/670995995.html https://dx.doi.org/10.1016/S0894-9166(16)30328-7 https://link.springer.com/article/10.1016/S0894-9166(16)30328-7 |
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