Thermo-mechanical stability of axially graded Rayleigh pipes

Ebrahimi-Mamaghani, Ali; Sotudeh‐Gharebagh, Rahmat; Zarghami, Reza; Mostoufi, Navid

doi:10.1080/15397734.2020.1717967

Cited by 41 publications

(12 citation statements)

References 59 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To capture the small-scale effects, the nonlocal elasticity beam model is considered. To this end, by considering the constitutive equation of the viscoelastic material according to the Kelvin-Voight model and the linear strain-displacement relation, one can express [19,[40][41][42]:…”

Section: Problem Formulationmentioning

confidence: 99%

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

et al. 2020

View full text Add to dashboard Cite

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.

show abstract

Section: Problem Formulationmentioning

confidence: 99%

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

et al. 2020

View full text Add to dashboard Cite

show abstract

“…Zhou, Dai [25] studied the effects of longitudinal gradation of material properties on linear dynamics of cantilevered AFGPs aiming at enhancing stability of such systems. 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

View full text Add to dashboard Cite

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.

show abstract

“…Dai et al [9] presented an investigation on the thermo-mechanical vibration analysis of axially functionally graded material pipe conveying fluid. Ebrahimi-Mamaghani et al [10] researched the thermo-mechanical stability analysis of axially graded Rayleigh pipes using an approximate solution method.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic buckling and post-buckling behavior of temperature-dependent nanocomposite pipes reinforced with CNTs

Babaei

2021

Eur. Phys. J. Plus

View full text Add to dashboard Cite

This research presents a comprehensive study on the thermal buckling and postbuckling behavior of nanocomposite pipes reinforced by carbon nanotubes (CNTs). The distribution profile of CNTs across the radius of nanocomposite pipe can be non-uniform which results in a functionally graded (FG) media. All the thermo-mechanical properties of the FG-CNT reinforced composite pipe which undergoes the uniform temperature rise loading are temperature-dependent. Different kinds of immovable boundary conditions such as simply supported, clamped-clamped, and clamped-rolling are considered. The principle of virtual displacement in conjunction with the higher-order shear deformation theory is employed to obtain the equilibrium equations of the nanocomposite pipe. The nonlinear governing equations are established with the aid of the von Kármán geometric measure and the uncoupled thermoelasticity theory. Utilizing the two-step perturbation technique, maximum deflection of the pipe in the post-buckling state is obtained by an explicit function of elevated temperature. Results of this paper are compared with the available data in the open literature for a homogeneous isotropic pipe. The influences of boundary conditions, the CNT distribution pattern, geometrical characteristics, and the volume fraction of CNTs upon the critical buckling temperature and thermal post-buckling path of nanocomposite pipes are discussed in detail. The novel numerical results of this research show that the maximum value of critical buckling temperatures belongs to the FG-X case of nanocomposite pipes.

show abstract

Thermo-mechanical stability of axially graded Rayleigh pipes

Cited by 41 publications

References 59 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

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

Thermoelastic buckling and post-buckling behavior of temperature-dependent nanocomposite pipes reinforced with CNTs

Contact Info

Product

Resources

About