Nonlocal study of the vibration and stability response of small‐scale axially moving supported beams on viscoelastic‐Pasternak foundation in a hygro‐thermal environment

Sarparast, Hoda; Ebrahimi-Mamaghani, Ali; Safarpour, Mehran; Ouakad, Hassen M.; Dimitri, Rossana; Tornabene, Francesco

doi:10.1002/mma.6859

Cited by 29 publications

(9 citation statements)

References 25 publications

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“…Numerous studies have been conducted by researchers using the NSGT. [37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53] Li et al 54 studied wave propagation in viscoelastic CNTs in the framework of the NSGT. Zhu and Li 55 employed the NSGT for analyzing the nanoscaled rods in tension.…”

Section: Introductionmentioning

confidence: 99%

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Application of the modified Fourier series method and the genetic algorithm for calibration of small‐scale parameters in the nonlocal strain gradient nanobeams

Mohammadian

2022

Math Methods in App Sciences

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In recent years, nonlocal strain gradient theory (NSGT) has been widely applied by researchers for the analysis of nanostructures. In this theory, the appropriate selection of small‐scale parameters and the type of high‐order boundary conditions is of great importance. In the current paper, free vibrations of carbon nanotubes are studied using a nonlocal strain gradient Timoshenko beam model, and the small‐scale parameters are calibrated based on the molecular dynamics (MD) results. The calibration process is conducted by defining an optimization problem, and the genetic algorithm is applied for obtaining the best values of the small‐scale parameters. The governing equations are derived based on Hamilton's principle and solved analytically using the modified Fourier series method. The variational consistent high‐order boundary conditions are obtained applying the weighted residual approach. The small‐scale parameters are calibrated for the first three natural frequencies considering two different boundary conditions. Moreover, the type of high‐order boundary conditions that is more consistent with the MD results is determined. The outcomes of this paper provide an appropriate reference for researchers who are using the NSGT for the analysis of micro/nanobeams.

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Section: Introductionmentioning

confidence: 99%

“…In the NSGT, the size‐dependent effects are considered applying two parameters, namely, the nonlocal and the strain gradient parameters. Numerous studies have been conducted by researchers using the NSGT 37–53 . Li et al 54 studied wave propagation in viscoelastic CNTs in the framework of the NSGT.…”

Section: Introductionmentioning

confidence: 99%

Application of the modified Fourier series method and the genetic algorithm for calibration of small‐scale parameters in the nonlocal strain gradient nanobeams

Mohammadian

2022

Math Methods in App Sciences

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“…32,33 Therefore, the analysis of impacts of different environmental situations can establish more reliable information for designers and engineers. 34,35 For instance, absorption of water molecules and the appearance of degradation conditions induced by humid environments accelerate vibrational instabilities in the nanostructures. 36,37 Therefore, comprehension of the mechanism of environmental attacks in vibrational stability of micro and nanotubes conveying fluid is of great importance and is the subject of numerous scientific reports over recent years.…”

Section: Introductionmentioning

confidence: 99%

Size-dependent vibrational behavior of embedded spinning tubes under gravitational load in hygro-thermo-magnetic fields

Liu

Ruonan

Koochakianfard

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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In the present investigation, with the aim of performance improvement of size-dependent bi-gyroscopic structures, the vibrational behavior of spinning small-scale tunes conveying fluid embedded in various foundations subjected to distributed tangential load and hygro-thermo-magnetic environments by including gravitational effect is investigated. The modified couple stress theory is used to study the microscale tube, and the modified nonlocal theory is utilized to model the nanoscale tubes. A parametric investigation is also conducted to highlight the impacts of various key factors such as gravity, flow profile modification factor, fluid velocity, spinning speed, substrate coefficients, boundary conditions, size-dependent parameters, and environmental attacks on divergence and flutter thresholds of the structure. The dynamical equations are solved using Laplace transformation as well as Galerkin discretization techniques, and forward and backward frequencies are identified accordingly. Meanwhile, the instability borders of the system are obtained analytically. Campbell and stability diagrams, and the time history of the system, are acquired. The results revealed that contrary to influences of gravity, magnetization, and size-dependent parameters, the compressive tangential load and humidity have decreasing effects on the vibrational frequencies and make the system prone to experience static and dynamical instabilities. Moreover, it is determined that applying the viscous foundation eliminates the re-stabilization zone in the system stability evolution, and after the occurrence of the divergence phenomenon, the system immediately undergoes the flutter instability.

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“…Sarparast and Ebrahimi-Mamghani [36] studied the rotating beams effects considering the foundation forcing impositions. Rotating rods analysis under the effects of axial loading is reported by Ebrahimi-Mamghani et al [37].…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Rotating Beams Based on the Modified Couple Stress Theory and Coupled Displacement Field

Babaei

Arabghahestani

2021

Applied Mechanics

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In this paper, transverse vibration analysis of rotating micro-beam is investigated based on the modified couple stress theory. The simply-supported micro-beam is modeled utilizing Euler-Bernoulli and Timoshenko beam theories. The system is rotating around a fixed axis perpendicular to the axial direction of the beam. For the first time, displacement filed is introduced as a coupled field to the translational field. In other words, the mentioned rotational displacement field is expressed as a proportional function of translational displacement field using first (axial), second (lateral), and third (angular or rotational) velocity factors. Utilizing Hamilton’s approach as a variational method, dynamic-vibration equations of motion of the proposed model are derived. Galerkin’s method is adopted to solve the equation corresponding to the Euler–Bernoulli and Timoshenko beams. For the case considering shear deformation effects, Navier method is chosen. For evaluation of current results and models, they are compared with those available at the benchmark. In this paper; effects of slenderness ratio, axial, lateral, and angular velocity factors, and rotations of the beam on the frequency are reported. Based on the results presented, mentioned factors should be counted in the analysis and design of such rotating micro-systems.

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Nonlocal study of the vibration and stability response of small‐scale axially moving supported beams on viscoelastic‐Pasternak foundation in a hygro‐thermal environment

Cited by 29 publications

References 25 publications

Application of the modified Fourier series method and the genetic algorithm for calibration of small‐scale parameters in the nonlocal strain gradient nanobeams

Application of the modified Fourier series method and the genetic algorithm for calibration of small‐scale parameters in the nonlocal strain gradient nanobeams

Size-dependent vibrational behavior of embedded spinning tubes under gravitational load in hygro-thermo-magnetic fields

Free Vibration Analysis of Rotating Beams Based on the Modified Couple Stress Theory and Coupled Displacement Field

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