Parametric resonances of supported pipes conveying pulsating fluid

Jiang, Jiwang; Song, Zhiwei

doi:10.1016/j.jfluidstructs.2005.04.007

Cited by 87 publications

(28 citation statements)

References 11 publications

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“…1 have been studied in the past four decades, both theoretically and experimentally [13][14][15]. The dynamics of pipes with pressurization, dissipation, tensioning, and/or gravity effects [16]; pipes on an elastic foundation [16,17]; pipes with additional springs [18], supports [19], masses [20], or other modifications [21][22][23]; pipes conveying incompressible or compressible [24] fluid, with steady [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] or unsteady [16,[25][26][27][28] flow velocity, linear [7][8][9][10][11][12][13][14][15][17][18][19]…”

mentioning

confidence: 99%

Vibration and enhanced stability properties of fluid-conveying pipes with two symmetric elbows fitted at downstream end

Wang

Dai²

2011

Arch Appl Mech

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In this paper, the vibration and stability properties of fluid-conveying pipes with two symmetric elbows fitted at downstream end are investigated. The fluid, after entering from the upstream end, is pushed downwards and eventually exits from the downstream end fitted with two symmetric elbows. The equation of motion is solved by means of Galerkin's method with a four-mode approximation. Calculations are conducted for cantilevered and also for pinned-pinned slender pipes. It is found that the stability of the pipe system can be greatly enhanced with such downstream elbows. The vibration frequency of the fluid-conveying pipes can be comfortably controlled due to the downstream elbows with a selection of angle of inclination. The proposed geometry configuration of fluid-conveying pipes may be useful for the design and improvement of engineering pipeline systems and fluidic devices.

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confidence: 99%

Vibration and enhanced stability properties of fluid-conveying pipes with two symmetric elbows fitted at downstream end

Wang

Dai²

2011

Arch Appl Mech

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“…The drillstring could be regarded as a flexible and slender pipe conveying fluid in the wellbore. Fluid-solid coupling vibration of the fluid-conveying pipe has attracted considerable attention for its extensive engineering applications and rich dynamic responses (Jin and Song, 2005;Xu and Yang, 2006;Panda and Kar, 2007;Wang, 2009;Ni et al, 2015). As early as 1978, Hannoyer and Paidoussis (1978) established a dynamic model of tubular beams simultaneously subjected to internal and external axial flows based on dynamics of cylindrical structures subjected to axial flow (Paidoussis, 1973).…”

Section: Introductionmentioning

confidence: 99%

Dynamic stability of a stepped drillstring conveying drilling fluid

Zhao

Tang

Zheng

et al. 2017

jtam

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Taking into account differences between a drill pipe (DP) and a drill collar (DC), the drillstring in a vertical well is modeled as a stepped pipe conveying a drilling fluid downwards to the bottom inside the string and then upwards to the ground from the annulus. An analytical model that describes lateral vibration of the drillstring and involves the drillstring gravity, weight on bit (WOB), hydrodynamic force and damping force of the drilling fluid is established. By analysis of complex frequencies, the influences of WOB, borehole diameter, DP length, velocity and density of the drilling fluid on the stability of the system are discussed.

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“…A flowing with speed higher than critical may cause the loss of stability of pipe by divergence. A periodically fluctuating flow with speed less than critical may cause the pipes to undergo another type of dynamic instability due to parametric resonance (Bagchi et al 2009;Jin and Song 2005;Panda and Karr 2008;Zhang et al 2003).…”

Section: Introductionmentioning

confidence: 99%

“…Motion of the system is described by a non-linear partial differential equation with periodically variable coefficients. The simplifying assumptions are adopted similarly as in the papers (Jin and Song 2005, Païdoussis 1987, 1998Panda and Karr 2008;Wang 2009). Additionally, Darcy-Weisbach formula for flow resistance is taken into account.…”

Section: Introductionmentioning

confidence: 99%

“…For example, Kadoli and Ganesan (2004) analyze the effect of tempera-ture of fluid on the instability regions in the plane: flow velocity -frequency of pulsation by using Floquet-Liapunov theory. Jin and Song (2005) introduce a non-linear model of the vertical pipe and determine the regions of parametric resonance in the plane: frequency -amplitude of pulsation.…”

Section: Introductionmentioning

confidence: 99%

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Vibrations of Steel Pipes and Flexible Hoses Induced by Periodically Variable Fluid Flow

Czerwiński

Łuczko

2012

mech

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SUMMARYThis paper is concerned with the analysis of a model describing the vibrations of simply supported straight pipes conveying periodically pulsating fluid. The vibrations of the hydraulic system are described by a fourth-order partial differential equation, with the inclusion of geometrical non-linearities. Through the application of the Galerkin method, the non-linear problem is reduced to the solution of four ordinary differential equations. The influence of several significant parameters of the model on the rms value of velocity is investigated. The possibility of exciting sub-harmonic and chaotic excitations at certain intervals of excitation frequency and flow velocity is presented.Keywords: flow-induced vibration, pipeline, critical flow velocity, parametric resonance, chaotic vibrations DRGANIA SZTYWNYCH I ELASTYCZNYCH PRZEWODÓW WZBUDZONYCH OKRESOWO ZMIENNYM PRZEP£YWEM CIECZY W pracy poddano analizie model opisuj¹cy drgania przegubowo podpartych prostoliniowych przewodów, spowodowane pulsacjami prêdko ci przep³ywaj¹cej cieczy. Ruch uk³adu opisano równaniem ró¿niczkowym cz¹stkowym czwartego rzêdu, uwzglêdniaj¹cym nieliniowo ci geometryczne. Wykorzystuj¹c metodê Galerkina, zagadnienie rozwi¹zania równania ró¿niczkowego cz¹stkowego sprowadzono do problemu analizy uk³adu czterech równañ ró¿-niczkowych zwyczajnych. Zbadano wp³yw wybranych parametrów na warto ae skuteczn¹ prêdko ci drgañ. Wykazano mo¿liwo ae wzbudzania siê w pewnych zakresach prêdko ci przep³ywu i czêsto ci wymuszenia drgañ podharmonicznych i chaotycznych.S³owa kluczowe: drgania wzbudzone przep³ywem, ruroci¹gi, krytyczna prêdko ae przep³ywu, rezonans parametryczny, drgania chaotyczne

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Parametric resonances of supported pipes conveying pulsating fluid

Cited by 87 publications

References 11 publications

Vibration and enhanced stability properties of fluid-conveying pipes with two symmetric elbows fitted at downstream end

Vibration and enhanced stability properties of fluid-conveying pipes with two symmetric elbows fitted at downstream end

Dynamic stability of a stepped drillstring conveying drilling fluid

Vibrations of Steel Pipes and Flexible Hoses Induced by Periodically Variable Fluid Flow

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