Finite element for the dynamic analysis of pipes subjected to water hammer

Cao, Huade; Mohareb, Magdi; Nistor, Ioan

doi:10.1016/j.jfluidstructs.2019.102845

Cited by 27 publications

(7 citation statements)

References 57 publications

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“…The presented hp-version axisymmetric shell FEs can be applied to the solution of BVPs occurring in the engineering practice, see, for example, the reservoir-pipe-valve system which is subjected to transient pressure induced by a water hammer [9].…”

Section: Fig 25mentioning

confidence: 99%

Dual-mixed hp-version axisymmetric shell finite element using NURBS mid-surface interpolation

Tóth

Burmeister

2020

Acta Mech

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A new, general hp-version axisymmetric finite element is derived for the boundary value problems of thin linearly elastic shells of revolution, applying a complementary strain energy-based three-field dual-mixed variational principle. For the interpolation of the mid-surface geometry, non-uniform rational B-splines-NURBS-is used. The independent field variables of the weak formulation are the a priori non-symmetric stress tensor, the displacement vector, and the infinitesimal skew-symmetric rotation tensor. The theoretical model of the shell formulation is based on a consistent dimensional reduction process and a systematic variablenumber reduction procedure. The inverse of the unvaried three-dimensional constitutive equation is employed since neither the classical kinematical assumptions nor the stress hypotheses are built in the mathematical model; namely, both the through-the-thickness variation and the normal stress to the shell mid-surface are not excluded. The new hp axisymmetric shell finite element is tested by a representative model problem for extremely thin and moderately thick, singly and doubly curved shells of negative and positive Gaussian curvature. Following from the numerical experiments, the constructed hp-shell finite element gives locking-free results not only for the displacement but also for the stresses.

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Section: Fig 25mentioning

confidence: 99%

Dual-mixed hp-version axisymmetric shell finite element using NURBS mid-surface interpolation

Tóth

Burmeister

2020

Acta Mech

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“…Gao et al [11] adopted MOC-FEM to numerically analyse the dynamic response of a fluid-conveying pipe under multiple excitations and verified the accuracy by experiments. Cao et al [12] established a FE model based on Hamilton principle considering viscous damping. The equivalent load of water hammer was obtained by MOC, and the Newmark-β method was used to calculate the dynamic equation of pipe.…”

Section: Introductionmentioning

confidence: 99%

Dynamic deformation reconstruction of propulsion system pipe based on inverse finite element method

Mei,

Huang,

Zheng

et al. 2024

J. Phys.: Conf. Ser.

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Pipes are necessary components of the propulsion system. The water hammer effect is easy to provoke severe vibration of the pipe, which is harmful to the safety of the propulsion system. Therefore, it is necessary to monitor the health status of the propulsion system pipe in real time. In this paper, the FSI analysis is adopted to study the water hammer pressure and pipe vibration response caused by valve closure in RPV system. The iFEM algorithm is performed to invert the dynamic deformation of the pipe in real time. Four sensor layout schemes are considered, and the influence of sensor layout on the reconstruction accuracy based on the iFEM algorithm is discussed. It is concluded that the iFEM algorithm is very promising for the dynamic deformation reconstruction of the pipe.

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“…Additionally, modeling hydraulic transient phenomena is an attractive topic for researchers, leading to the development of various analysis methods. The method of characteristics (MOC), the wave characteristic method (WCM), and the nite element method (FEM) are among the most common numerical modeling methods used to solve the governing equations of hydraulic transients [37][38][39].…”

Section: Introductionmentioning

confidence: 99%

Hydraulic Transient attenuation by HDPE backward configuration Technique

Mery,

EKaid

2023

Preprint

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Hydraulic transients pose a significant threat to pressurized conduits, and their occurrence is commonplace in industrial pipelines throughout their operational lifespan. The potential for catastrophic damage resulting from hydraulic transient events has compelled researchers to explore effective techniques for mitigating their severity. This paper presents the findings of an experimental study aimed at investigating the efficacy of employing a high-density polyethylene (HDPE) bypass as a hydraulic transient mitigation strategy. The configured HDPE bypass is designed to allow backward flows while restraining forward flows. The study encompasses various transient conditions, with measurements recorded at different locations along the pipeline. The investigated hydraulic transient scenarios include pump trip-induced transients, end valve closure transients, and simultaneous pump and valve closure-induced transients. Furthermore, the performance of the HDPE backward configuration technique is compared with that of the air vessel technique. In conclusion, the experiments reveal that the HDPE backward configuration technique proves to be an effective strategy for attenuating transient pressure waves in hydraulic systems. Notably, the HDPE technique outperformed the air vessel technique in several experimental conditions. Additionally, the combined use of the HDPE and air vessel techniques demonstrated superior performance compared to each technique individually across all measured locations and under various transient conditions.

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Finite element for the dynamic analysis of pipes subjected to water hammer

Cited by 27 publications

References 57 publications

Dual-mixed hp-version axisymmetric shell finite element using NURBS mid-surface interpolation

Dual-mixed hp-version axisymmetric shell finite element using NURBS mid-surface interpolation

Dynamic deformation reconstruction of propulsion system pipe based on inverse finite element method

Hydraulic Transient attenuation by HDPE backward configuration Technique

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