Non-planar vibrations of slightly curved pipes conveying fluid in simple and combination parametric resonances

Czerwiński, Andrzej; Łuczko, Jan

doi:10.1016/j.jsv.2017.10.026

Cited by 49 publications

(8 citation statements)

References 19 publications

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“…Padioussis and Moon [18] examined the dynamical behavior of a pipe carrying fluid with fixed-free support conditions. Whereas Czerwinski et al [19] investigated pulsating fluid flows through a slightly bent pipe with clamped-clamped end conditions subjected to combination parametric resonance.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of traveling beam with longitudinally varying axial tension and variable velocity under parametric and internal resonances

et al. 2022

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In this investigation, the nonlinear dynamics of an axially accelerating viscoelastic beam on a pully mounting system have been analyzed. The axial tension of the beam is modeled as a function of the traveling velocity, support stiffness parameter as well as spatial coordinate. Geometric cubic nonlinearity appeared in the equation of motion due to elongation set in the neutral axis of the beam. The integropartial differential equation of motion of the axially accelerating beam associated with the simplysupported end conditions is solved analytically by adopting the direct perturbation method of multiple time scales (MMS). As a result, a set of complex variable modulation equations are generated, which governs the modulation of amplitude and phase. This set of modulated equations is numerically solved to explore the influence of the support stiffness parameter upon the stability and bifurcation of the beam which has not been addressed in the existing literature. Apart from this, the impact of fluctuating velocity component, viscoelastic coefficient, longitudinal stiffness parameter, internal and parametric detuning parameters on the stability and bifurcation analysis is studied, revealing significant dynamic characteristics of the traveling system. The Fourth-order Runge-Kutta method is applied is to find the dynamic solution of the system. The system displays stable periodic, quasi-periodic, and mixed-mode dynamic responses along with the unstable chaotic behavior for a specific set of system parameters. The results obtained through an analytical-numerical approach may help the design and operation of an axially moving beam.

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Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of traveling beam with longitudinally varying axial tension and variable velocity under parametric and internal resonances

et al. 2022

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“…This kind of pipe are also common in engineering. As a consequence, a few theoretical models, which could deal with the pipes with arbitrary shapes, were proposed [28][29][30][31][32][33]. For instance, based on the Hamilton's extended principle, a nonlinear theoretical model was proposed by Sinir [28] to investigate the nonlinear dynamics of a slightly curved fluid-conveying pipe with both ends supported.…”

Section: Introductionmentioning

confidence: 99%

“…It should be pointed out that the model developed in the present work has four advantages compared with those models mentioned in the Ref. [31][32][33][34][35][36][37][38][39][40]: (i) it can determine the extremely large-amplitude vibrations of the soft straight-curved combination pipes conveying fluid; (ii) it can be applied to the straight-curved combination pipes with arbitrary initially shapes, such as L-, Z-, U-, J-shaped pipes, etc. ; (iii) it can be applied to any boundary conditions, such as pinned-pinned, clamped-free, pinned-pinned-free and so on; (iv) it can handle not only the self-excited vibrations but also the forced oscillations.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Analysis of L-shaped Pipe Conveying Fluid with the Aid of Absolute Nodal Coordinate Formulation

Zhou

Dai

et al. 2021

Preprint

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By adopting the absolute nodal coordinate formulation, a novel and general nonlinear theoretical model, which can be applied to solve the dynamics of combined straight-curved fluid-conveying pipes with arbitrary initially configurations and any boundary conditions, is developed in the current study. Based on this established model, the nonlinear behaviors of the cantilevered L-shaped pipe conveying fluid with and without base excitations are systematically investigated. Before starting the research, the developed theoretical model is verified by performing three validation examples. Then, with the aid of this model, the static deformations, linear stability, and nonlinear self-excited vibrations of the L-shaped pipe without the base excitation are determined. It is found that the cantilevered L-shaped pipe suffers from the static deformations when the flow velocity is subcritical, and will undergo the limit-cycle motions as the flow velocity exceeds the critical value. Subsequently, the nonlinear forced vibrations of the pipe with a base excitation are explored. It is indicated that the period-n, quasi-periodic and chaotic responses can be detected for the L-shaped pipe, which has a strong relationship with the flow velocity, excitation amplitude and frequency.

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“…Fluid-conveying pipes are wildly used in many industrial fields such as aviation, aerospace, petroleum, nuclear, etc. The vibration failure caused by fluid structure interaction has puzzled the engineers for decades, and the research on the fluid-conveying pipes has never been stopped (Paidoussis, 2014(Paidoussis, , 2016Baohui et al, 2013;Hu and Zhu, 2018;Czerwinski and Luczko, 2018;Li et al, 2015;Ghazavi et al, 2018;Wang et al, 2017). The parameters uncertainty within the pipe and fluid has an obvious effect on the natural frequency of the pipes.…”

Section: Introductionmentioning

confidence: 99%

Resonance failure sensitivity analysis of straight-tapered assembled pipes conveying nonuniform axial fluid by active learning Kriging method

Zhao

Liu

Guo

et al. 2019

MMMS

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Purpose The purpose of this paper is to study the resonance failure sensitivity analysis of straight-tapered assembled pipe conveying nonuniform axial fluid by an active learning Kriging (ALK) method. Design/methodology/approach In this study, first, the motion equation of straight-tapered assembled pipe conveying nonuniform fluid is built. Second, the Galerkin method is used for calculating the natural frequency of assembled pipe conveying nonuniform fluid. Third, the ALK method based on expected risk function (ERF) is used to calculate the resonance failure probability and moment independent global sensitivity analysis. Findings The findings of this paper highlight that the eigenfrequency and critical velocity of uniform fluid-conveying pipe are less than the reality and the error is biggest in first-order natural frequency. The importance ranking of input variables affecting the resonance failure can be obtained. The importance ranking is different for a different velocity and mode number. By reducing the uncertainty of variables with a high index, the resonance failure probability can be reduced maximally. Research limitations/implications There are no experiments on the eigenfrequency and critical velocity. There is no experiments about natural frequency and critical velocity of straight tapered assembled pipe to verify the theory in this paper. Originality/value The originality of this paper lies as follows: the motion equation of straight-tapered pipe conveying nonuniform fluid is first obtained. The eigenfrequency of nonuniform fluid and uniform fluid inside the assembled pipe are compared. The resonance reliability analysis of straight-tapered assembled pipe is first proposed. From the results, it is observed that the resonance failure probability can be reduced efficiently.

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Non-planar vibrations of slightly curved pipes conveying fluid in simple and combination parametric resonances

Cited by 49 publications

References 19 publications

Nonlinear dynamics of traveling beam with longitudinally varying axial tension and variable velocity under parametric and internal resonances

Nonlinear dynamics of traveling beam with longitudinally varying axial tension and variable velocity under parametric and internal resonances

Nonlinear Analysis of L-shaped Pipe Conveying Fluid with the Aid of Absolute Nodal Coordinate Formulation

Resonance failure sensitivity analysis of straight-tapered assembled pipes conveying nonuniform axial fluid by active learning Kriging method

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