Dynamics of fluid conveying pipes using Rayleigh theory under non-classical boundary conditions

Dağlı, Begüm Yurdanur; Ergüt, Abdulkerim

doi:10.1016/j.euromechflu.2019.05.001

Cited by 15 publications

(1 citation statement)

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“…ElNajjar and Daneshmand [6] investigated the possibility of improving the stability of vertical and horizontal FCPs by attaching one or more additional springs and/or masses at various points along the pipe. In a study by Dagli and Ergut [7], Rayleigh theory is used to examine the influence of nonclassical boundary conditions on dynamic behavior of FCPs. Abdollahi, Dehghani Firouz-abadi [8] focused on stability and flexural vibration analyses of rotating pipes undergoing simultaneous external and internal fluid loadings.…”

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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Section: Introductionmentioning

confidence: 99%