A geometrically-exact momentum-based nonlinear theory for pipes conveying fluid

Tang, Shanran; Sweetman, Bert

doi:10.1016/j.jfluidstructs.2020.103190

Cited by 20 publications

(5 citation statements)

References 56 publications

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“…The large-amplitude response of beams has been examined before, utilising finite element approaches together with exact displacement formulations by Pai (2014); Simo & Vu-Quoc (1988). A finite-volume momentum-based nonlinear approach has also been recently used for large-amplitude dynamical analysis of pipes conveying fluid in Tang & Sweetman (2021); the authors used piecewise linearisation in the time-domain to obtain the dynamical response of the system. The present study proposes a geometrically exact analytical model based on the beam centreline rotation, which circumvents the difficulties associated with large-amplitude dynamics of the pipe.…”

Section: Introductionmentioning

confidence: 99%

Geometrically exact dynamics of cantilevered pipes conveying fluid

Farokhi

Tavallaeinejad

Paı̈doussis

2021

Journal of Fluids and Structures

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Section: Introductionmentioning

confidence: 99%

Geometrically exact dynamics of cantilevered pipes conveying fluid

Farokhi

Tavallaeinejad

Paı̈doussis

2021

Journal of Fluids and Structures

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“…( 1) and make a series of operations, we can obtain the nonlinear dynamic equation of the pipe element subjected to a base excitation, which can be found in Eq. (2). For the sake of brevity, we put the detailed process of formula derivation in Appendix A, and the interested readers can refer to it.…”

Section: Omentioning

confidence: 99%

“…In addition, the system of the fluid-conveying pipe can display rich dynamical behaviors and has become a new paradigm in the field of dynamics, which has been pointed out by Païdoussis [1]. Thus, due to these facts, the literature concerned with the dynamics of pipes conveying fluid has emerged in the past few decades [2][3][4][5][6][7][8][9].…”

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

Nonlinear Dyn

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“…The Galerkin method (Jung and Chung, 2008) and the finite-element method (FEM) (Zhai et al ., 2013) are the two popular solving methods. Recently, some advanced methods were also applied in the theoretical modelings, such as the geometrically-exact method (Tang and Sweetman, 2021), absolute nodal coordinate formulation (Zhou et al ., 2022) and integral transform method (Li et al ., 2019a).…”

Section: Introductionmentioning

confidence: 99%

An application of data-driven modeling for hydroelasticity of an elastically supported semi-circular pipe conveying fluid

Yang

2023

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PurposeThe paper aims to develop an efficient data-driven modeling approach for the hydroelastic analysis of a semi-circular pipe conveying fluid with elastic end supports. Besides the structural displacement-dependent unsteady fluid force, the steady one related to structural initial configuration and the variable structural parameters (i.e. the variable support stiffness) are considered in the modeling.Design/methodology/approachThe steady fluid force is treated as a pipe preload, and the elastically supported pipe-fluid model is dealt with as a prestressed hydroelastic system with variable parameters. To avoid repeated numerical simulations caused by parameter variation, structural and hydrodynamic reduced-order models (ROMs) instead of conventional computational structural dynamics (CSD) and computational fluid dynamics (CFD) solvers are utilized to produce data for the update of the structural, hydrodynamic and hydroelastic state-space equations. Radial basis function neural network (RBFNN), autoregressive with exogenous input (ARX) model as well as proper orthogonal decomposition (POD) algorithm are applied to modeling these two ROMs, and a hybrid framework is proposed to incorporate them.FindingsThe proposed approach is validated by comparing its predictions with theoretical solutions. When the steady fluid force is absent, the predictions agree well with the “inextensible theory”. The pipe always loses its stability via out-of-plane divergence first, regardless of the support stiffness. However, when steady fluid force is considered, the pipe remains stable throughout as flow speed increases, consistent with the “extensible theory”. These results not only verify the accuracy of the present modeling method but also indicate that the steady fluid force, rather than the extensibility of the pipe, is the leading factor for the differences between the in- and extensible theories.Originality/valueThe steady fluid force and the variable structural parameters are considered in the data-driven modeling of a hydroelastic system. Since there are no special restrictions on structural configuration, steady flow pattern and variable structural parameters, the proposed approach has strong portability and great potential application for other hydroelastic problems.

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A geometrically-exact momentum-based nonlinear theory for pipes conveying fluid

Cited by 20 publications

References 56 publications

Geometrically exact dynamics of cantilevered pipes conveying fluid

Geometrically exact dynamics of cantilevered pipes conveying fluid

Nonlinear analysis of L-shaped pipe conveying fluid with the aid of absolute nodal coordinate formulation

An application of data-driven modeling for hydroelasticity of an elastically supported semi-circular pipe conveying fluid

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