Free vibrations and stability of high-speed rotating carbon nanotubes partially resting on Winkler foundations

Torkaman-Asadi, M. A.; Rahmanian, Mohammad; Firouz-Abadi, R. D.

doi:10.1016/j.compstruct.2015.02.037

Cited by 21 publications

(7 citation statements)

References 26 publications

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“…Owing to the small sizes of the micro beams, they are very appropriate for designing small instruments like sensors and actuators [2,3]. There is considerable use of rotating tubes in different areas such as high power engine, magnetic shields, civil, mechanical and aerospace engineering [4][5][6][7][8][9][10][11]. The important application of the current investigation of rotating FG-CNT is in nano-engineering structure like a sensors and actuators.…”

Section: Introductionmentioning

confidence: 99%

“…In last fifty years, many theories have been presented for vibration of rotating and nonrotating shells [1,2,5,9,12] and shells with ring support [13,[14][15][16][17][18][19][20][21]. Reddy and co-authors investigated the bending, longitudinal, nonlinear, free and shear flexible vibration of FG porous microplates, nanobeams and carbon nanotubes within elastic medium using modified coupled theory, differential quadrature (DQM) and finite element method (FEM) [22,23,24,25].…”

Section: Introductionmentioning

confidence: 99%

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Effect of Power Law-Index for Accurate Natural Frequencies of Rotating Isotropic SWCNTs with Ring Supports

Hussain¹

2019

Preprint

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Vibration analysis of carbon nanotubes (CNTs) is very essential field owing to their many promising applications in tiny instruments. The unique and interesting properties of CNTs, particularly their mechanical and electrical features, have fascinated industries and researchers to implement CNTs for production of different electromechanical devices. Research on vibration behavior of CNTs was done for a few decades ago. Vibrations of isotropic rotating zigzag and chiral single-walled carbon nanotube (SWCNTs) with ring supports are established using the Love’s shell theory. To discretize the governing equations of current model, Galerkin’s method is utilized for frequency equations of single-walled carbon nanotubes (SWCNTs). The unknown axial functions have assumed by characteristic beam functions which fulfill boundary conditions applied at the tube ends. Effects of different parameters with ring supports on the fundamental natural frequencies versus ratio of length-to-radius, angular speed and height-to-radius ratio have been investigated. The frequencies curves decrease as the length-to-diameter ratio increases. With the increase of angular speed the frequency curve of backward waves increases and forward wave decreases for rotating zigzag and chiral tubes. On the other hand, the phenomena of frequency versus height-to-radius ratio are counterpart of length-to-radius ratio for rotating boundary conditions. The frequency phenomena have been observed very pronounced with ring support. Frequency value of C-C end condition is higher than those of C-F computations. The results of single-walled carbon nanotube are computed by using MATLAB software. To validate the accuracy of present model, the results have been compared with earlier modeling/simulations.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effect of Power Law-Index for Accurate Natural Frequencies of Rotating Isotropic SWCNTs with Ring Supports

Hussain¹

2019

Preprint

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“…It is thus important to study the mechanical properties of CNTs [10]. Specially, the vibration characteristics of CNTs resting on a foundation [11][12][13][14][15] plays a crucial role in facilitating the development of nano/micro-sensors [16], fluid storages, and nanocomposites [17], etc. It thus becomes a major topic of great interest in recent research of nanomechanics.…”

Section: Introductionmentioning

confidence: 99%

“…Different boundary conditions were considered for the SWCNTs and the governing equations were solved via Bubnov-Galerkin method. Based on Love's shell assumptions, Torkaman-Asadi et al [11] derived the governing equations for the SWCNs resting on Winkler elastic foundations. In addition, Kiani [14] studied the free transverse vibration of a stocky SWCNT resting on an elastic foundation.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of viscoelastic single-walled carbon nanotubes resting on a viscoelastic foundation

et al. 2017

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Vibration responses are investigated for a viscoelastic single-walled carbon nanotube (visco-SWCNT) resting on a viscoelastic foundation. Based on the nonlocal Euler-Bernoulli beam model, velocity-dependent external damping and Kelvin viscoelastic foundation model, the governing equations are derived. The transfer function method (TFM) is then used to compute the natural frequencies for general boundary conditions and foundations. In particular, the exact analytical expressions of both complex natural frequencies and critical viscoelastic parameters are obtained for the Kelvin-Voigt visco-SWCNTs with full foundations and certain boundary conditions, and several physically intuitive special cases are discussed. Substantial nonlocal effect, the influence of geometric and physical parameters of the SWCNT and the viscoelastic foundation are observed for the natural frequencies of the supported SWCNTs. The study demonstrates the efficiency and robustness of the developed model for the vibration of the visco-SWCNT-viscoelastic foundation coupling system.

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“…But the molecular-linear-motor seems to have no significant difference from the CNT-Based Oscillators [4], which is composed of two coaxial CNTs. Another novel nanomotor model was devoted to the free vibrations and stability of rotating single-walled CNT (SWCNT), partially resting on Winkler foundations [5]. As same to the macro systems, the transmission components are the essential part in nanoscale systems.…”

Section: Introductionmentioning

confidence: 99%

Mechanical Properties of the nanopin based on Y-junction carbon nanotubes

Zhang¹,

Zhong²,

Liu³

2016

Proceedings of the 2016 5th International Conference on Measurement, Instrumentation and Automation (ICMIA 2016)

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The geometry optimization and the shear performance of the nanopins based on the Y-junction carbon nanotubes (CNTs) are investigated by using the classical molecular dynamics simulations. The results show that the service performance of the nanopin is not sensitive to the length of the inserting end while the maximum unloading force increases firstly and then keeps relatively stable as the height of the branch tube increases. The overlong inserting end and high branch tube can result in the severe oscillation in unloading force since the continuous morphology change. The relatively small angle included in Y-junction CNTs can contribute to both of the fixity of the nanopin and instability of the uninstallation processes. The orientation of the branch tubes of the nanopin determines the maximum shear performance. The radial stability of the CNTs plays an important role in the shear performance of the nanopin. The findings may be helpful to design and manufacturing of the CNT-based nano-apparatus.

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Free vibrations and stability of high-speed rotating carbon nanotubes partially resting on Winkler foundations

Cited by 21 publications

References 26 publications

Effect of Power Law-Index for Accurate Natural Frequencies of Rotating Isotropic SWCNTs with Ring Supports

Effect of Power Law-Index for Accurate Natural Frequencies of Rotating Isotropic SWCNTs with Ring Supports

Vibration analysis of viscoelastic single-walled carbon nanotubes resting on a viscoelastic foundation

Mechanical Properties of the nanopin based on Y-junction carbon nanotubes

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