Non-smooth dynamics of articulated pipe conveying fluid subjected to a one-sided rigid stop

Wang, Yikun; Wang, Lin; Ni, Qiao; Yang, Mujie; Liu, Dezheng; Qin, Tao

doi:10.1016/j.apm.2020.08.020

Cited by 12 publications

(5 citation statements)

References 26 publications

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“…Equation ( 19) can be easily solved by using a fourth-order Runge-Kutta approach through proper initial conditions. The fourth-order Runge-Kutta approach is a high-precision algorithm for solving non-linear ODEs of complex systems and is widely used in engineering (Li et al, 2015;Yan et al, 2018;Liu et al, 2021;Wang et al, 2021;Zhou et al, 2022).…”

Section: Numerical Solutionmentioning

confidence: 99%

Dynamic analysis of an axially moving underwater pipe conveying pulsating fluid

Luo

Zhang

2022

Front. Mar. Sci.

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In this paper, both linear and non-linear dynamics of a slender and uniform pipe conveying pulsating fluid, which is axially moving in an incompressible fluid, are comprehensively studied. The vibration equations of the system are established by considering various factors, including a coordinate conversion system, an “axial added mass coefficient” describing the additional inertia forces caused by the external fluid, the Kelvin–Voigt viscoelastic damping, a kind of non-linear additional axial tension, and the pulsating internal fluid. The vibration equations are discretized by the Galerkin procedure and solved by the Runge–Kutta approach, and the validity of the solution procedure is carefully checked. After that, the linear and non-linear responses of the system are studied when the internal flow velocity and the axially moving speed of the pipe are small. For linear responses, the Kelvin–Voigt viscoelastic damping has great influences on the second and third modes of the system. For the non-linear dynamic, the results are rich and changeful, including the first and second principal parametric resonances, the secondary resonance, the combination resonance, period-1 motion, quasi-periodic motion, and chaotic motion. Finally, the influence of several key system parameters on the non-linear responses is analyzed.

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Section: Numerical Solutionmentioning

confidence: 99%

Dynamic analysis of an axially moving underwater pipe conveying pulsating fluid

Luo

Zhang

2022

Front. Mar. Sci.

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“…Marine risers have been shown to have importance in ocean engineering, such as the connection between the subsea wellhead and the floating vessel or drilling platform. To maintain the good condition of the riser during its lifetime, correct installation has become more and more important in recent years [1][2][3][4]. The cross-flow velocity of the seawater generally consists of three parts, i.e., the sea wave, the sea current, and the sea surface wind [5,6].…”

Section: Introductionmentioning

confidence: 99%

Analysis of Marine Risers Subjected to Shoal/Deep Water in the Installation Process

Wang

Luo

Yang

et al. 2022

Polish Maritime Research

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The dynamics of the installation process of marine risers subjected to shoal/deep seawater is studied. The riser is assumed to be a cantilevered Euler‒Bernoulli beam. The upper end of the riser is clamped on the vessel or the drilling platform. The lower end of the riser is connected to the Blowout Preventer Stack (BOPs) and Lower Marine Risers Package (LMRP). The lateral fluid forces induced by the sea wave and sea current are introduced into the governing equations of motion. The lateral displacement and stress distributions of the riser are obtained by solving the governing equation of the riser via Galerkin’s discretisation scheme and a fourth-order Runge‒Kutta algorithm. The results indicate that the riser exhibits different behaviours under various depths because of the different distributions of the flow velocity ranging from the sea surface to the seabed. In the case of shoal water, the dynamics of the riser are dominated by the sea wave, while in the case of deep water it is affected mainly by the sea current velocity and sea surface wind velocity.

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“…For supported tubes with loose support, the effect of mean axial extension could be neglected in the presence of loose supports and should be added in the absence of loose supports. Wang et al [31] investigated the nonsmooth impacting oscillations of a two-segment rigid pipe conveying fluid subjected to a one-sided rigid stop.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamics of Cross‐Flow Tubes Subjected to Initial Axial Load and Distributed Impacting Constraints

Mengdi

Wang

Qin

et al. 2021

Shock and Vibration

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The dynamics of cross-flow tubes were studied in consideration of initial axial load and distributed impacting constraints, modeled as cubic and trilinear spring constraints. The tubes were modeled as Euler–Bernoulli beams and supported at both ends, including the simply supported tube and clamped-clamped tube. The analytical model involves a time-delayed displacement term induced by the cross flow based on the quasi-steady theory. For simplicity, a single flexible supported beam in a rigid square array of cylinders was studied by using the damping-controlled mechanism. The mean extension of the tube was considered, and thus, it added another nonlinear term in the equation of motion. Results show that the tube loses stability by buckling and fluttering at various initial pressure loads and cross-flow velocities. An increase was observed for critical velocities and initial pressure loads. Chaotic oscillations were observed for the trilinear spring model. The distribution of the impacting forces was also calculated. Some of the fresh results obtained in the impact system are expected to be helpful in understanding and controlling the dynamic responses of fluid-conveying pipes.

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Non-smooth dynamics of articulated pipe conveying fluid subjected to a one-sided rigid stop

Cited by 12 publications

References 26 publications

Dynamic analysis of an axially moving underwater pipe conveying pulsating fluid

Dynamic analysis of an axially moving underwater pipe conveying pulsating fluid

Analysis of Marine Risers Subjected to Shoal/Deep Water in the Installation Process

Nonlinear Dynamics of Cross‐Flow Tubes Subjected to Initial Axial Load and Distributed Impacting Constraints

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