Stability analysis of viscoelastic pipes conveying fluid with different boundary conditions described by fractional Zener model

Askarian, A.R.; Permoon, M.R.; Zahedi, Mohammad Zia; Shakouri, M.

doi:10.1016/j.apm.2021.11.013

Cited by 28 publications

(6 citation statements)

References 39 publications

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“…Alcoutlabi and Martinez-Vega et al [23] successfully predicted the asymmetric dynamic behavior of Polymethyl methacrylate (PMMA) polymer under real conditions through the correction of the fractional-order Zener model. As a powerful tool, fractional calculus has been proved to play an important role in the dynamic modeling of materials [24]. The fractional-order rheological model has been widely applied in the investigation of engineering nonlinear behavior, but describing the constitutive relations of polymers is still a relatively new field and has not been widely explored and applied.…”

Section: Introductionmentioning

confidence: 99%

Investigation on the tensile rheological behavior of pa6 film based on fractional order model

Li,

Liao,

Liu

et al. 2023

Mater. Res. Express

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This paper presents the research results on rheological behavior of Polyamide 6 (PA6) film during uniaxial stretching. The creep and relaxation tests of PA6 films were conducted on dynamic mechanical analysis (DMA) tester under uniaxial tensile conditions. And analyzed the PA6 film creep behavior under different stress and temperature, the stress relaxation behavior under different strain. With the increase of temperature or stress, the creep behavior of PA6 film was enhanced. With the increase of strain, the relaxation of PA6 film showed an enhanced tendency. Fractional-order Maxwell model, fractional-order Kelvin model and fractional-order linear body model were used to fit and analyze the experimental data under different conditions. The results showed that the fractional-order linear body model was better suited for describing the rheological behavior of PA6 film under uniaxial stretching. Then, the fractional-order linear body model was used to fit and analyze the creep and relaxation curves under different conditions, and the rheological properties of PA6 film were discussed according to the fitting results. The results indicated that the rheological elements in the internal microstructure of PA6 film were more easily activated under high stress state, and the macroscopic viscous characteristics were more obvious under high strain state. The above results will provide a theoretical basis to further explore the deformation mechanism of PA6 film during tensile tests.

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Section: Introductionmentioning

confidence: 99%

Investigation on the tensile rheological behavior of pa6 film based on fractional order model

Li,

Liao,

Liu

et al. 2023

Mater. Res. Express

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“…Wang and Wu [46] analyzed the free vibration behaviors of functionally graded porous cylindrical shells by determining the effects of graded porosity distributions in the thickness direction. Askarian et al [47] also used the Zener model for ISD-110 material to investigate the stability of viscoelastic pipes under different boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of sandwich cylindrical shells made of graphene platelet polymer–viscoelastic–ceramic/metal FG layers

Permoon

Farsadi

Askarian

2023

Funct. Compos. Struct.

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In this paper, natural frequencies and loss factors of cylindrical sandwich shells composed of the viscoelastic core layer, surrounded by functionally graded graphene-platelet reinforced polymer composite (FG-GPLRPC) and ceramic/metal (FG-ceramic/metal) are investigated. The viscoelastic layer is expressed using the fourth parameter fractional viscoelastic model, and the functionally graded ceramic/metal layer is theoretically modeled using a power-law function. The uniform, symmetric and un-symmetric patterns are considered for simulating the graphene platelet (GPL) nanofillers distributions along with the thickness direction. The classical shell theory is used for functionally graded layers and properties of the effective materials of GPLRPC multilayers are determined by using a modified Halpin–Tsai micromechanics model and the rule of mixture. The governing equations of motion are extracted by applying the Lagrange equation and the Rayleigh-Ritz method. The determinant of the coefficient matrix of the characteristic equation is calculated, and the natural frequencies and loss factors of the system are extracted. A study of the interactions of materials and geometrical factors such as the ratio of radius to length, the properties of functionally graded materials, and GPL weight fractions for patterns of proposed distributions is presented and some conclusions have been formed.

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“…In recent years, the researchers are increasingly concerned with the dynamic analysis of the nanotubes conveying fluid, in which the sandwich structure is presented [18,19]. The influences of the viscoelastic fractional Zener model parameters on the divergence and flutter flow velocity of the pipes conveying fluid are highlighted in [3,4].…”

Section: Introductionmentioning

confidence: 99%

Convergence of a Variational Iterative Algorithm for Nonlocal Vibrations Analysis of a Nanotube Conveying Fluid

Martin

2023

Mathematical Modelling and Analysis

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The amplitudes of the forced oscillations of a nano-structure conveying fluid are the solutions of an inhomogeneous integral-differential system. This is solved by an easily accessible scheme based on the variational iteration method (VIM), Galerkin’s method and the Laplace transform techniques. The presented method is accompanied by the study of the convergence of the iterative process and of the errors. In the literature, the dynamic response of a viscoelastic nanotube conveying fluid is frequently obtained by an iterative method. This leads to the double convolution products, whose presence will be avoided in the new method proposed in this paper. Thus, the numerical results will be obtained much faster and more accurately.

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Stability analysis of viscoelastic pipes conveying fluid with different boundary conditions described by fractional Zener model

Cited by 28 publications

References 39 publications

Investigation on the tensile rheological behavior of pa6 film based on fractional order model

Investigation on the tensile rheological behavior of pa6 film based on fractional order model

Vibration analysis of sandwich cylindrical shells made of graphene platelet polymer–viscoelastic–ceramic/metal FG layers

Convergence of a Variational Iterative Algorithm for Nonlocal Vibrations Analysis of a Nanotube Conveying Fluid

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