Flow‐Induced Vibration Analysis of Supported Pipes Conveying Pulsating Fluid Using Precise Integration Method

Liu, Long; Xuan, Fu‐Zhen

doi:10.1155/2010/806475

Cited by 9 publications

(7 citation statements)

References 24 publications

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“…Based on the Hamilton principle, a dynamic analysis of support pipes transporting a pulsating fluid was performed in Liu and Xuan (2010). To solve the equations of motion, a method of exact integration with a linear interpolation formula was proposed.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of a viscoelastic pipeline vibration under pulsating fluid flow

Khudayarov

Turaev

2022

MMMS

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PurposeThe purpose of this study is to create a mathematical model, a numerical algorithm and a computer program for studying the vibration of composite pipelines based on the theory of beams used in the oil and gas industry, agriculture and water management, housing and communal services and other areas.Design/methodology/approachA mathematical model of vibration of a viscoelastic pipeline based on the theory of beams with a pulsating fluid flowing through it was developed. Using the Bubnov-Galerkin method, based on the polynomial approximation of deflections, the problem is reduced to the study of systems of ordinary integro-differential equations, the solution of which is found by a numerical method. A computational algorithm was developed for solving problems of vibrations of composite pipelines conveying pulsating liquid.FindingsThe stability and amplitude-time characteristics of vibration of composite pipelines with a pulsating fluid flowing in it are studied for wide range of changes in the parameters of deformable systems and fluid flow. The critical velocities of fluid flow at which the viscoelastic pipe loses its rectilinear equilibrium shape are found. The effect of singularity in the kernels of heredity on the vibrations of structures with viscoelastic properties was numerically studied. It is shown that with an increase in the viscosity parameter of the pipeline material, the critical flow velocity decreases. It was determined that an increase in the value of the fluid pulsation frequency and the excitation coefficient leads to a decrease in the critical velocity of the fluid flow. It was established that an increase in the parameters of the Winkler foundation and the rigidity parameter of the continuous layer leads to an increase in the critical flow velocity.Originality/valueThe study of the vibration of pipelines made of composite materials is of great theoretical and applied interest. The solution to this problem is an effective application of the theory of viscoelasticity to real processes. Therefore, the methods and problems of pipeline vibrations attract much attention from researchers. This study is devoted to solving the above problems and therefore its subject is relevant. The paper considers the results of numerical simulation of the processes of vibration of a composite pipeline based on the theory of shells during the flow of a pulsating liquid through it. A mathematical model of vibration of a composite pipeline was developed. A computational algorithm was developed for solving problems of vibrations of composite pipelines conveying pulsating liquid.

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Section: Introductionmentioning

confidence: 99%

Numerical simulation of a viscoelastic pipeline vibration under pulsating fluid flow

Khudayarov

Turaev

2022

MMMS

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“…The flow-induced vibrations in such systems are known as fluid structure interaction. This brought huge attention on the dynamics ad stability of flow induced vibration of fluid conveying in pipes particularly in case of high velocity flow which may lead to severe damage [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. Predicting the natural frequencies and critical flow velocities is an important tool in design and prevent system failures.…”

Section: Introductionmentioning

confidence: 99%

The Vibration of Tubular Beam Conveying Fluid with Variable Cross Section

Gaith

2020

Period. Polytech. Mech. Eng.

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The dynamics and stability of flow induced vibration of flow conveying in pipes particularly in case of high velocity flow may lead to severe damage. Predicting the circular natural frequencies and critical fluid velocities is an important tool in design and prevent system failures. In this study transverse dynamic response of simply supported pipe with variable tubular cross sectional area carrying fluid with a constant flow rate is investigated. Euler Bernoulli's beam theory is used to model the pipe. Hamilton's principle will be used to produce the governing equation of motion for the system. The resulting partial differential equation is solved using Galerkin's technique. The impact of the flow velocity and non-uniform variable cross section on the natural frequencies of the system, critical flow velocity and system stability is presented.

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“…Long and Fuzhen [10] investigated the dynamics of supported pipes conveying pulsating fluid using precise integration method. The results show that the PIM is an efficient and rapid approach for flow induced dynamic analysis of supported pipes.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Bending Response of Tubes Conveying Fluid by the Method of Characteristics

2018

Adv. in Nat. Appl. Sci.

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Flow‐Induced Vibration Analysis of Supported Pipes Conveying Pulsating Fluid Using Precise Integration Method

Cited by 9 publications

References 24 publications

Numerical simulation of a viscoelastic pipeline vibration under pulsating fluid flow

Numerical simulation of a viscoelastic pipeline vibration under pulsating fluid flow

The Vibration of Tubular Beam Conveying Fluid with Variable Cross Section

Analysis of Bending Response of Tubes Conveying Fluid by the Method of Characteristics

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