Hygro–thermo–magnetically induced vibration of nanobeams with simultaneous axial and spinning motions based on nonlocal strain gradient theory

Bai, Yu; Suhatril, Meldi; Cao, Yan; Forooghi, Ali; Assilzadeh, Hamid

doi:10.1007/s00366-020-01218-1

Cited by 25 publications

(5 citation statements)

References 113 publications

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“…The work variation due to environmental conditions can be presented as follows 36,58 in which NM, NH, and NT are applied loads by magnetic, moisture, and thermal fields, respectively, and are determined as 36 where β , Δ H , α, Δ T, μ , and B specify the humidity expansion coefficient, moisture changes percentage, thermal expansion coefficient, temperature gradient, magnetic permeability coefficient, and magnetic field strength, respectively. 59…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Work done by environmental condition. The work variation due to environmental conditions can be presented as follows 36,58 δW e ¼…”

Section: External Workmentioning

confidence: 99%

“…Geometric and physical properties of the considered system. 36,46,54 Property Value amplitude of the system response enhances with time. Thus, it can be concluded that compared with the static instability, the system is more vulnerable in the dynamical instability state.…”

Section: Frequency Analysismentioning

confidence: 99%

“…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. Within this context, Sadeghi-Goughari et al 38 characterized the dynamical behavior of nanoscale cantilevered pipes conveying fluid subjected to a longitudinal magnetic field.…”

Section: Introductionmentioning

confidence: 99%

“…(a) Real and (b) imaginary parts of the first four eigenvalues of the P-P system without foundation versus the fluid velocity when V=5, τ=θ=B=ΔH=ΔT=γ=q=Kn=0.Table1. Geometric and physical properties of the considered system 36,46,54.…”

mentioning

confidence: 99%

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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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