Nonlinear dynamics of a pipe conveying pulsating fluid with combination, principal parametric and internal resonances

Panda, L. N.; Kar, R.C.

doi:10.1016/j.jsv.2007.05.023

Cited by 133 publications

(47 citation statements)

References 27 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]…”

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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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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 above method does not work to determine the stability of the trivial solution due to the singularity of the Jacobian matrix. For this case, the Cartesian coordination formulation is utilized [5] . Substituting A 2 = x 2 + iy 2 into (23), we obtain…”

Section: Stability and Local Bifurcation Analysis For Positive Stiffnmentioning

confidence: 99%

Stability and local bifurcation of parameter-excited vibration of pipes conveying pulsating fluid under thermal loading

Zhao

Liu

2015

Appl. Math. Mech.-Engl. Ed.

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The parametric excited vibration of a pipe under thermal loading may occur because the fluid is often transported heatedly. The effects of thermal loading on the pipe stability and local bifurcations have rarely been studied. The stability and the local bifurcations of the lateral parametric resonance of the pipe induced by the pulsating fluid velocity and the thermal loading are studied. A mathematical model for a simply supported pipe is developed according to the Hamilton principle. Two partial differential equations describing the lateral and longitudinal vibration are obtained. The singularity theory is utilized to analyze the stability and the bifurcation of the system solutions. The transition sets and the bifurcation diagrams are obtained both in the unfolding parameter space and the physical parameter space, which can reveal the relationship between the thermal field parameter and the dynamic behaviors of the pipe. The frequency response and the relationship between the critical thermal rate and the pulsating fluid velocity are obtained. The numerical results demonstrate the accuracy of the single-mode expansion of the solution and the stability and local bifurcation analyses. It also confirms the existence of the chaos. The presented work can provide valuable information for the design of the pipeline and the controllers to prevent the structural instability.

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“…The nonlinear dynamics of a pulsatile pipe conveying fluid was studied in [16] while the nonlinear dynamics of a curved pipe conveying fluid subject harmonic excitation was studied in [17].…”

Section: Introductionmentioning

confidence: 99%

Non-destructive testing and assessment of dynamic incompatibility between third-party piping and drain valve systems: an industrial case study

Kong

Noroozi

Rahman

et al. 2014

Nondestructive Testing and Evaluation

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This paper presents the outcome of an industrial case study that involved condition monitoring of piping system that showed signs of excess fatigue due to flow induced vibration. Due to operational requirements a novel non-destructive assessment stratagem was adopted using different vibration analysis techniquessuch as Experimental Modal Analysis (EMA) and Operating Deflection Shapes (ODS) -and complemented by visual inspection. Modal analysis performed near a drain valve showed a dynamic weakness problem (several high frequency flow induced vibration frequency peaks) hence Condition Based Monitoring (CBM) was used.This could easily be linked to design problem associated with the dynamic incompatibility due to dissimilar stiffness between two 3 rd party supplied pipe and valve systems. It was concluded that this is the main cause for these problem types especially when systems are supplied by third parties, but assembled locally, a major cause of dynamic incompatibility. It is the local assembler's responsibility to develop skills and expertise needed to sustain the operation of these plants. This paper shows the technique used as result of one such initiative. Since high amplitude, low frequency displacement can cause low cycle fatigue, attention must be paid to ensure flow remains as steady-state as possible. The ability to assess the level of design incompatibility and the level of modification required using non-destructive testing is vital if these systems are to work continuously.

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Nonlinear dynamics of a pipe conveying pulsating fluid with combination, principal parametric and internal resonances

Cited by 133 publications

References 27 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

Stability and local bifurcation of parameter-excited vibration of pipes conveying pulsating fluid under thermal loading

Non-destructive testing and assessment of dynamic incompatibility between third-party piping and drain valve systems: an industrial case study

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