Forced Axial Vibration of a Single-Walled Carbon Nanotube Embedded in Elastic Medium under Various Moving Forces

Khosravi, Farshad; Hosseini, Seyyed Amirhosein; Tounsi, Abdelouahed

doi:10.4028/www.scientific.net/jnanor.63.112

Cited by 14 publications

(7 citation statements)

References 59 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Khosravi et al studied the natural frequency and global mode shape of the L-shaped composite beam structure and obtained them by the global modal method and compared with the results calculated by the finite element method. e effectiveness of this method for solving L-shaped composite beams is illustrated [5]. Chen et al used the global modal method to study the U-shaped composite beam structure, obtained the frequency equation of the U-shaped beam structure, and obtained the natural frequency and global mode of the system [6].…”

Section: Literature Reviewmentioning

confidence: 99%

Application of the Lagrange Equation for Intelligent Sensor Vibration Control for Power Network Monitoring

Cheng

2022

International Transactions on Electrical Energy Systems

View full text Add to dashboard Cite

Objective. In order to control the vibration of the beam structure more effectively and improve the safety and availability of the beam structure, an application study of the Lagrange equation for vibration control of smart sensors for power grid monitoring is proposed. The vibration of the beam structure, the displacement of the beam structure under the excitation of seismic acceleration, the response analytical electrical formula, and the displacement response formula of the beam structure under the action of the kinematic force are deduced. The optimal parameters of the beam-TMDI system are given, and the parameter sensitivity analysis is carried out. Then, the control effect of the TMDI system is studied by numerical analysis, and the vibration reduction effect of the TMDI system and the tuned mass damper (TMD) system is compared. Experimental results show that when the mass ratio μ of the TMDI system and the TMD system are both set to a fixed value of 0.005, and the parameter β of the TMDI system is set to 0, namely β = b = 0 , at this time, the TMDI system degenerates into a TMD system. The TMD natural frequency is 14.179 rad/s and the damping ratio is 0.0432 by the DH optimization method, while the TMD natural frequency is 14.1812 rad/s, and the damping ratio is 0.0436 by the augmented Lagrangian optimization algorithm. Conclusion. The vibration displacement response spectrum of a beam structure obtained by the frequency domain method can effectively reflect electricity in the displacement response of a beam structure. The parameters that minimize the vibration response of the beam structure can be accurately obtained by using the augmented Lagrangian parameter optimization method. The sensitivity of the TMDI system is controlled by the inertial device, and the inertial device has a significant impact on its robustness. The vibration reduction performance of the TMDI system is obviously better than in the conventional TMD systems.

show abstract

Section: Literature Reviewmentioning

confidence: 99%

Application of the Lagrange Equation for Intelligent Sensor Vibration Control for Power Network Monitoring

Cheng

2022

International Transactions on Electrical Energy Systems

View full text Add to dashboard Cite

show abstract

“…Different nonlinear thermal and mechanical loadings were used by Tounsi et al and many other writers to thermoelastic materials. [38][39][40][41][42] Zhao et al used semi-analytical solutions to discuss the nonlinear free vibration of with surface effects. 43 Researchers in bioengineering are confronted with the challenge of developing multi-scale models of cartilage that can be used to predict the mechanical performance of cartilage at the macro-scale level based on the micro-scale models.…”

Section: Introductionmentioning

confidence: 99%

“…Different nonlinear thermal and mechanical loadings were used by Tounsi et al and many other writers to thermoelastic materials. 38–42 Zhao et al used semi-analytical solutions to discuss the nonlinear free vibration of with surface effects. 43…”

Section: Introductionmentioning

confidence: 99%

The vibration of a gold nanobeam under the thermoelasticity fractional-order strain theory based on Caputo–Fabrizio’s definition

Al-Lehaibi

2023

The Journal of Strain Analysis for Engineering Design

View full text Add to dashboard Cite

For the first time, numerical solutions were computed using fractional-order strain considerations in the current study. For an isotropic and homogeneous nanobeam, the thermoelasticity with one relaxation time and fractional-order strain theory based on Caputo–Fabrizio’s definition of fractional derivative was examined. With thermal loading and in simply supported boundary conditions, the Laplace transformations have been used upon the governing equations and its inversion was computed using the Tzou technique approximation. The numerical calculations for a thermoelastic rectangular gold (Au) nanobeam have been validated as a model where ramp-type heat is considered. The computational solutions have been depicted in two-dimensions graphs for several situations to investigate the impact of the fractional-order and ramping heat parameters on all of the functions studied. The temperature increment distribution, lateral vibration, deformation, tension, and energy density are all influenced by fractional-order and ramp-time heat parameters. The ramp-time heat parameter might be utilized to regulate nanobeam vibration and energy damping in thermoelastic nanobeams.

show abstract

“…The nonlocal Eringen's elasticity theory [15][16][17][18][19] has been established to show the small-scale effect and the torsional behavior of the nanorods. In this way, many studies are devoted to the vibration of the nanostructure via the mentioned nonlocal approach [20][21][22][23][24][25][26][27][28][29][30][31]. Meanwhile, there are some investigations that are carried out via the other theories such as Refs.…”

Section: Introductionmentioning

confidence: 99%

Analytical investigation on free torsional vibrations of noncircular nanorods

Khosravi

Hosseini

Hamidi

2020

J Braz. Soc. Mech. Sci. Eng.

Self Cite

View full text Add to dashboard Cite

This paper is devoted to the free torsional behavior of the nanorods containing noncircular cross sections. The rectangular cross section is chosen to be the case of the study. Three various boundary conditions, namely the clamped-clamped (C-C), clamped-free (C-F), and clamped-torsional spring (C-T) boundary conditions, are used to model the nanorod. Hamilton's principle is utilized to derive the equation of motion along with associated boundary conditions. The derived equation is reformulated by Eringen's nonlocal elasticity approach to exhibit the small-scale effect. An analytical method is established to discretize and analyze the equation of motion. The novelty of this work is the analysis of the torsional vibration in rectangular nanorods, which are not observed in previous works. For the results, the influences of the horizontal and vertical aspect ratios ( a∕b and b∕a ) (for C-C and C-F boundary conditions) and the influences of the nonlocal parameter and stiffness of the boundary spring (for C-T boundary condition) are illustrated schematically and tabularly.

show abstract

Forced Axial Vibration of a Single-Walled Carbon Nanotube Embedded in Elastic Medium under Various Moving Forces

Cited by 14 publications

References 59 publications

Application of the Lagrange Equation for Intelligent Sensor Vibration Control for Power Network Monitoring

Application of the Lagrange Equation for Intelligent Sensor Vibration Control for Power Network Monitoring

The vibration of a gold nanobeam under the thermoelasticity fractional-order strain theory based on Caputo–Fabrizio’s definition

Analytical investigation on free torsional vibrations of noncircular nanorods

Contact Info

Product

Resources

About