Hydroelastic analysis on water entry of a constant-velocity wedge with stiffened panels

Yu, Pengyao; Li, Hui; Ong, Muk Chen

doi:10.1016/j.marstruc.2018.09.007

Cited by 34 publications

(4 citation statements)

References 45 publications

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“…In this case, application of the Galerkin method reduces the problem already to a system of linear algebraic equations. In both variants of the solution, the problem of determining the critical speed of the load at which the loss of stability of the shell walls occurs, as well as the effect of the liquid on this speed, is investigated [11], [12].…”

Section: Methodsmentioning

confidence: 99%

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Dynamic Behavior of a Cylindrical Shell with a Liquid under the Action of Nonstationary Pressure Wave

Antuf’ev¹,

Dobryanskiy²,

Egorova³

et al. 2021

TEM Journal

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The problem of axisymmetric hydroelastic deformation of a thin cylindrical shell containing a liquid under the action of a moving load is approximately solved. It is reduced to the equation of bending of the shell and the condition of incompressibility of the liquid in the cylinder. The deflections of the shell and the level of lowering of the liquid are unknown. For solution, the Galerkin method is used and the problem is reduced to a system of nonlinear algebraic equations. A simpler solution is considered without taking into account the incompressibility condition. Here, in addition to the deformed state of the shell, the critical speeds of the moving load are determined analytically.

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Section: Methodsmentioning

confidence: 99%

“…where  is the vibration frequency, i w are the unknown coefficients, are the specified coordinate functions that satisfy the boundary conditions at the ends of the shell. Galerkin method procedure leads to equation (12). In matrix form, the resulting system of linear algebraic equations for the unknown coefficients i w will have the following form: , (…”

mentioning

confidence: 99%

Dynamic Behavior of a Cylindrical Shell with a Liquid under the Action of Nonstationary Pressure Wave

Antuf’ev¹,

Dobryanskiy²,

Egorova³

et al. 2021

TEM Journal

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show abstract

“…The impact of a vertically moving flexible wedge on a water surface was also investigated extensively in the past (see, for example, Maki et al 2011;Luo, Wang & Soares 2012;Khabakhpasheva & Korobkin 2013;Panciroli, Abrate & Minak 2013;Piro & Maki 2013;Shams & Porfiri 2015;Shams, Zhao & Porfiri 2017;Yu, Li & Ong 2019;Zhang et al 2021). Panciroli (2013) indicated that the deformation of a flexible wedge can cause the separation of the spray sheet from the wedge surface.…”

Section: Introductionmentioning

confidence: 99%

The controlled impact of elastic plates on a quiescent water surface

Wang

Wong

et al. 2022

J. Fluid Mech.

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The impact of flexible rectangular aluminum plates on a quiescent water surface is studied experimentally. The plates are mounted via pinned supports at the leading and trailing edges to an instrument carriage that drives the plates at constant velocity and various angles relative to horizontal into the water surface. Time-resolved measurements of the hydrodynamic normal force ( $F_n$ ) and transverse moment ( $M_{to}$ ), the spray root position ( $\xi _r$ ) and the plate deflection ( $\delta$ ) are collected during plate impacts at 25 experimental conditions for each plate. These conditions comprise a matrix of impact Froude numbers ${Fr} = V_n(gL)^{-0.5}$ , plate stiffness ratios $R_D= \rho _w V_n^2 L^3D^{-1}$ and submergence time ratios $R_T= T_sT_{1w}^{-1}$ . It is found that $R_D$ is the primary dimensionless ratio controlling the role of flexibility during the impact. At conditions with low $R_D$ , maximum plate deflections on the order of $1$ mm occur and the records of the dimensionless form of $F_n$ , $M_{to}$ , $\xi _r$ and $\delta _c$ are nearly identical when plotted vs $tT_s^{-1}$ . In these cases, the impact occurs over time scales substantially greater than the plate's natural period, and a quasi-static response ensues with the maximum deflection occurring approximately midway through the impact. For conditions with higher $R_D$ ( $\gtrsim 1.0$ ), the above-mentioned dimensionless quantities depend strongly on $R_D$ . These response features indicate a dynamic plate response and a two-way fluid–structure interaction in which the deformation of the plate causes significant changes in the hydrodynamic force and moment.

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“…Kara (2022) studied hydroelasticity of marine structures with and without forward speed using time dependent boundary integral equation method with Neumann-Kelvin linearisation where the potential is considered as the impulsive velocity potential. Yu et al (2019) presented a hydroelastic analysis on water entry of a constant-velocity wedge with stiffened panels. They solved the fluid domain utilizing a semi-analytical hydrodynamic model and also considered vibration response after flow separation.…”

mentioning

confidence: 99%

Simulation of coupled elasticity problem with pressure equation: hydroelastic equation

Hooshyarfarzin,

Abbaszadeh,

Dehghan

2024

MMMS

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PurposeThe main aim of the current paper is to find a numerical plan for hydraulic fracturing problem with application in extracting natural gases and oil.Design/methodology/approach First, time discretization is accomplished via Crank-Nicolson and semi-implicit techniques. At the second step, a high-order finite element method using quadratic triangular elements is proposed to derive the spatial discretization. The efficiency and time consuming of both obtained schemes will be investigated. In addition to the popular uniform mesh refinement strategy, an adaptive mesh refinement strategy will be employed to reduce computational costs.FindingsNumerical results show a good agreement between the two schemes as well as the efficiency of the employed techniques to capture acceptable patterns of the model. In central single-crack mode, the experimental results demonstrate that maximal values of displacements in x- and y- directions are 0.1 and 0.08, respectively. They occur around both ends of the line and sides directly next to the line where pressure takes impact. Moreover, the pressure of injected fluid almost gained its initial value, i.e. 3,000 inside and close to the notch. Further, the results for non-central single-crack mode and bifurcated crack mode are depicted. In central single-crack mode and square computational area with a uniform mesh, computational times corresponding to the numerical schemes based on the high order finite element method for spatial discretization and Crank-Nicolson as well as semi-implicit techniques for temporal discretizations are 207.19s and 97.47s, respectively, with 2,048 elements, final time T = 0.2 and time step size τ = 0.01. Also, the simulations effectively illustrate a further decrease in computational time when the method is equipped with an adaptive mesh refinement strategy. The computational cost is reduced to 4.23s when the governed model is solved with the numerical scheme based on the adaptive high order finite element method and semi-implicit technique for spatial and temporal discretizations, respectively. Similarly, in other samples, the reduction of computational cost has been shown.Originality/valueThis is the first time that the high-order finite element method is employed to solve the model investigated in the current paper.

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Hydroelastic analysis on water entry of a constant-velocity wedge with stiffened panels

Cited by 34 publications

References 45 publications

Dynamic Behavior of a Cylindrical Shell with a Liquid under the Action of Nonstationary Pressure Wave

Dynamic Behavior of a Cylindrical Shell with a Liquid under the Action of Nonstationary Pressure Wave

The controlled impact of elastic plates on a quiescent water surface

Simulation of coupled elasticity problem with pressure equation: hydroelastic equation

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