Transverse vibration analysis of a single-walled carbon nanotube under a random load action

Hołubowski, R.; Glabisz, W.; Jarczewska, K.

doi:10.1016/j.physe.2019.01.030

Cited by 7 publications

(4 citation statements)

References 28 publications

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“…They used hull iterative algorithm to solve the suggested uncertainty model numerically. Holubowski et al 35 emphasized on the stochastic dynamic response of single wall carbon nanotubes under the random load action and found prominent influence of stochastic loads on the time histories of displacements. They found prominent difference in the results of these theories for the spectral frequency of the nanobeams.…”

Section: Introductionmentioning

confidence: 99%

The random thermo-elastic nonlinear vibration analysis of porous FGM nano-beams using the first order perturbation theory

Chandel,

Talha

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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The objective of present work is to study the nonlocal nonlinear thermo-elastic vibrations of porous nanobeams made up of functionally graded material (FGM) with random material properties. The mechanical properties of the nano-beam are calculated using a porosity based power law model by assuming the cosine type porosity distributions. The randomness present in the material properties cause the mechanical characteristics of the nano-beams to be random, hence first order perturbation theory has been employed to take care of this randomness. The Reddy’s beam theory in association with the Eringen’s non classical elasticity has been used to account for nonlocal effects, and Von-karman nonlinearity has been employed to take care of geometric nonlinearity. The governing equations are derived from the minimum potential energy principle and solved them using the finite element method. To validate the present model, a convergence and comparison study has been performed. Further, the effects of amplitude ratio, aspect ratio, uncertain material properties, size parameter, porosity, thermal environment, and gradation of material on the stochastic behavior of the porous FGM nano-beams are demonstrated. As a result of the present research, the significance of considering thermal environment, porosity, and random material properties has been revealed for the design of nanodevices and systems to be more reliable.

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Section: Introductionmentioning

confidence: 99%

The random thermo-elastic nonlinear vibration analysis of porous FGM nano-beams using the first order perturbation theory

Chandel,

Talha

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…For instance, Zhang et al [16] employed the isogeometric finite element method to analyze the effects of boundary conditions, geometric properties, and material parameters on the frequencies of carbonnanotube-reinforced and FGM-sector cylindrical shells. Based on non-local elasticity theory, Hołubowski et al [17] studied the transverse vibrations of single-walled carbon nanotubes under a random load action. A nonlocal strain gradient elasticity approach was proposed by Farajpour et al [18] to study the mechanical behaviors of fluid-conveying nanotubes.…”

Section: Introductionmentioning

confidence: 99%

Study on the Stability of Functionally Graded Simply Supported Fluid-Conveying Microtube under Multi-Physical Fields

2022

Micromachines

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The stability of functionally graded simply supported fluid-conveying microtubes under multiple physical fields was studied in this article. The strain energy of the fluid-conveying microtubes was determined based on strain gradient theory, and the governing equation of the functionally graded, simply supported, fluid-conveying microtube was established using Hamilton’s principle. The Galerkin method was used to solve the governing equation, and the effects of the dimensionless microscale parameters, temperature difference, and magnetic field intensity on the stability of the microtube were investigated. The results showed that the dimensionless microscale parameters have a significant impact on the stability of the microtube. The smaller the dimensionless microscale parameters were, the stronger the microscale effect of the material and the better the microtube stability became. The increase in the temperature difference decreased the eigenfrequency and critical velocity of the microtube and reduced the microtube stability. However, the magnetic field had the opposite effect. The greater the magnetic field intensity was, the greater the eigenfrequency and critical velocity were, and the more stable the microtube became.

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“…For example, the axial force generated by temperature variation and magnetic force will affect the stability of the fluid-conveying microtubes. There have been a lot of theoretical studies on the effect of excitation loads on the dynamic behavior of carbon nanotubes [30][31][32][33][34], which have laid a solid theoretical foundation for the engineering application of carbon nanotubes. However, there are few studies on micronscale fluid-conveying microtubes under excitation loads.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Nonlinear Vibration of Functionally Graded Simply Supported Fluid-Conveying Microtubes Subjected to Transverse Excitation Loads

2022

Micromachines

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This paper presents a nonlinear vibration analysis of functionally graded simply supported fluid-conveying microtubes subjected to transverse excitation loads. The development of the nonlinear equation of motion is based on the Euler–Bernoulli theory, Hamilton principle and Strain gradient theory. The nonlinear equation of motion is reduced to a second-order nonlinear ordinary differential equation by the Galerkin method. The Runge–Kutta method is adapted to solve the equation, and the effects of the dimensionless microscale parameters, the amplitude and frequency of excitation loads on the stability of the microtubes system are analyzed. It is found that when the microtube diameter is equal to the material length scale parameter, the microtube movement pattern is quasi-periodic. With the increase of the dimensionless microscale parameter, the microtube movement changes from quasi-periodic to chaos. The smaller the power-law index of volume fraction, the smaller the vibration displacement of microtubes and the better the stability. The larger the amplitude of excitation loads is, the larger the vibration displacement of the microtubes will be. When the frequency of excitation loads is equal to the natural frequency of the microtubes, it will have resonance and the vibration displacement will increase significantly.

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Transverse vibration analysis of a single-walled carbon nanotube under a random load action

Cited by 7 publications

References 28 publications

The random thermo-elastic nonlinear vibration analysis of porous FGM nano-beams using the first order perturbation theory

The random thermo-elastic nonlinear vibration analysis of porous FGM nano-beams using the first order perturbation theory

Study on the Stability of Functionally Graded Simply Supported Fluid-Conveying Microtube under Multi-Physical Fields

Analysis of Nonlinear Vibration of Functionally Graded Simply Supported Fluid-Conveying Microtubes Subjected to Transverse Excitation Loads

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