Stability analysis of oil-conveying pipes on two-parameter foundations with generalized boundary condition by means of Green’s functions

Li, M.; Zhao, Xiangyong; Li, X.; Chang, Xueping; Li, Y.H.

doi:10.1016/j.engstruct.2018.07.001

Cited by 38 publications

(2 citation statements)

References 34 publications

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“…The Galerkin method was applied to reduce the equation to a finite discretized form after the application of Euler-Bernoulli beam and non-linear Lagrange strain theories. While utilizing the green function approach, studies have been done to investigate forced vibration in fluid-conveying pipes [24]. The dynamic forces of pipes were also considered in the quite a number of study fluid conveying pipes.…”

Section: Introductionmentioning

confidence: 99%

Analytical Studies of Fluid Conveying Pipes on Viscoelastic Foundation Using Differential Transforms Method

Adeleye,

Yinusa,

Diwe

2024

AMM

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This study presents an analytical investigation of the vibration of fluid-conveying pipes on viscoelastic foundations using the differential transform method. The effects of a new time dependent viscosity parameter in the modified Winkler viscoelastic foundation is studied and analyzed. The governing equation is a fourth-order partial differential equation with pinned-pinned boundary conditions, which required a special analytical method for solution. The differential transform method was applied to obtain the solution of the governing partial differential equation for the fluid-conveying pipes on viscoelastic foundations. The time-dependent viscosity parameter in the modified Winkler viscoelastic model was implemented and simulated to determine the behavior of the viscoelastic foundation. The obtained analytical solution was validated with Runge-Kutta order four numerical method. The effects of foundation stiffness , coefficient of foundation damping and the frequency mass ratio on the governing model equation were investigated. In addition, the bending and deflection of the pipe on a viscoelastic foundation are compared with those on an elastic foundation. The analytical and the numerical solutions are in good agreement. From the study, it is observed that an increase in the foundation stiffness results in increase in the pipe inherent frequencies. Furthermore, the vibration of the pipe on a viscoelastic foundation shows better control and reduction compared with its vibration on an elastic foundation.

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Section: Introductionmentioning

confidence: 99%

Analytical Studies of Fluid Conveying Pipes on Viscoelastic Foundation Using Differential Transforms Method

Adeleye,

Yinusa,

Diwe

2024

AMM

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“…The effects of foundation stiffness are found on the critical flow velocity of the pipeline. Li 22 analyzed the stability of oil-conveying pipes on two-parameter foundations with generalized boundary condition by means of Green’s functions. With the assistance of the Euler-Bernoulli assumption, the effects of boundary stiffness, foundation parameters and geometric parameters on the natural frequency and the critical velocity are discussed.…”

Section: Introductionmentioning

confidence: 99%

The effect of two-parameter of Pasternak foundations on the dynamics and stability of multi-span pipe conveying fluids

Zhao²,

Guo

et al. 2020

Advances in Mechanical Engineering

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In this paper, the dynamics and stability of multi-span pipe conveying fluid embedded in Pasternak foundation is studied. Based on Euler-Bernoulli beam theory, the dynamics of multi-span pipe conveying fluid embedded in two parameters Pasternak foundation is analyzed. The dynamic stiffness method (DSM) is used to solve the control equation. A seven span pipe is calculated. The affection of two parameters of Pasternak foundation is mainly studied. Along with increasing the elastic stiffness K and shear stiffness G, the frequency is also increasing.

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Constrained Green’s Function for a Beam with Arbitrary Spring and Nonlinear Spring Foundation

Zhao,

Wang,

Zhu

et al. 2024

NODYCON Conference Proceedings Series

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Stability analysis of oil-conveying pipes on two-parameter foundations with generalized boundary condition by means of Green’s functions

Cited by 38 publications

References 34 publications

Analytical Studies of Fluid Conveying Pipes on Viscoelastic Foundation Using Differential Transforms Method

Analytical Studies of Fluid Conveying Pipes on Viscoelastic Foundation Using Differential Transforms Method

The effect of two-parameter of Pasternak foundations on the dynamics and stability of multi-span pipe conveying fluids

Constrained Green’s Function for a Beam with Arbitrary Spring and Nonlinear Spring Foundation

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