Vibration Control and Manufacturing of Intelligibly Designed Axially Functionally Graded Cantilevered Macro/Micro-tubes

Mirtalebi, Seyed Hamed; Ebrahimi-Mamaghani, Ali; Ahmadian, M.T.

doi:10.1016/j.ifacol.2019.10.061

Cited by 30 publications

(9 citation statements)

References 28 publications

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“…As reported in the literature [32][33][34], the obtained results of the modeling of ultra-small scale structures based on classical theories do not have acceptable accuracy. Additionally, experimental studies have proven that classical continuum theories are incapable of predicting the mechanical behavior of the small-scale structures [35].…”

Section: Problem Formulationmentioning

confidence: 75%

On the Vibrations and Stability of Moving Viscoelastic Axially Functionally Graded Nanobeams

et al. 2020

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In this article, size-dependent vibrations and the stability of moving viscoelastic axially functionally graded (AFG) nanobeams were investigated numerically and analytically, aiming at the stability enhancement of translating nanosystems. Additionally, a parametric investigation is presented to elucidate the influence of various key factors such as axial gradation of the material, viscosity coefficient, and nonlocal parameter on the stability boundaries of the system. Material characteristics of the system vary smoothly along the axial direction based on a power-law distribution function. Laplace transformation in conjunction with the Galerkin discretization scheme was implemented to obtain the natural frequencies, dynamical configuration, divergence, and flutter instability thresholds of the system. Furthermore, the critical velocity of the system was evaluated analytically. Stability maps of the system were examined, and it can be concluded that the nonlocal effect in the system can be significantly dampened by fine-tuning of axial material distribution. It was demonstrated that AFG materials can profoundly enhance the stability and dynamical response of axially moving nanosystems in comparison to homogeneous materials. The results indicate that for low and high values of the nonlocal parameter, the power index plays an opposite role in the dynamical behavior of the system. Meanwhile, it was shown that the qualitative stability of axially moving nanobeams depends on the effect of viscoelastic properties in the system, while axial grading of material has a significant role in determining the critical velocity and natural frequencies of the system.

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Section: Problem Formulationmentioning

confidence: 75%

On the Vibrations and Stability of Moving Viscoelastic Axially Functionally Graded Nanobeams

et al. 2020

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“…Functionally graded (FG) materials are an advanced class of composite materials whose thermomechanical properties vary smoothly and continuously in a preferred direction of the structure [16][17][18][19][20][21][22][23]. Compared with homogeneous and conventional laminated materials, FG materials display unique features such as higher fracture toughness, lower stress concentration, better corrosion and thermal resistance.…”

Section: Introductionmentioning

confidence: 99%

Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load

Ebrahimi-Mamaghani¹,

Forooghi

Sarparast

et al. 2021

Applied Mathematical Modelling

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“…In some studies related to stability and dynamics of the AFGPs thermal loads [26] and nonlinear effects [27] are also taken into account. A study by Mirtalebi, Ebrahimi-Mamaghani [28] is devoted to dynamical stability and intelligent control of AFGPs by use of design flexibility of FGMs.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of axially functionally graded pipes conveying fluid using a higher order shear deformation theory

Aghazadeh

2021

International Advanced Researches and Engineering Journal

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This study presents a novel approach for addressing dynamical characteristics of fluid conveying axially functionally graded pipes. The variation of material properties of the pipe along axial direction is taken into account according to a power-law function. Owing to a unified expression for displacement field, the developed model can be recast into classical Euler -Bernoulli and Timoshenko tube models as well as a newly developed higher order shear deformable tube model; the latter satisfies zero-shear conditions on free surfaces, and hence yields more realistic results. The system of partial differential equations governing dynamics of fluid conveying axially functionally graded pipes is derived through utilization of Hamilton's principle. Differential quadrature scheme is used to discretize the system of differential equations and generate numerical results. Detailed numerical investigations of the current fluid-solid interaction problem elucidate the effects of material gradation pattern, transverse shear deformation distribution profile along radial direction and fluid velocity on the natural frequencies of fluid conveying functionally graded pipes. The critical fluid velocity, which is a significant design parameter, can also be determined by means of developed procedures in this study.

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Vibration Control and Manufacturing of Intelligibly Designed Axially Functionally Graded Cantilevered Macro/Micro-tubes

Cited by 30 publications

References 28 publications

On the Vibrations and Stability of Moving Viscoelastic Axially Functionally Graded Nanobeams

On the Vibrations and Stability of Moving Viscoelastic Axially Functionally Graded Nanobeams

Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load

Dynamics of axially functionally graded pipes conveying fluid using a higher order shear deformation theory

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