BEM and FEM Analysis of the Fluid-Structure Interaction in Tanks With Baffles

Gnitko, V.; Degtyariov, Kyryl; Naumenko, V.; Strelnikova, Elena

doi:10.2495/cmem-v5-n3-317-328

Cited by 14 publications

(21 citation statements)

References 9 publications

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“…Задача визначення функцій і частот  k розв'язується за допомогою методів, описаних у [14,15], де не враховувалися ефекти поверхневого натягу.…”

Section: постановка задачіunclassified

Method of discrete singularities in problems of filler vibrations in fuel tanks under overloads and at low gravity

2019

Bulletin of V.N. Karazin Kharkiv National University, Series «Mathematical Modeling. Information Technology. Automated Control

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The paper is about free vibration problems in fuel tanks with different levels of fillers both under overloads and low gravity. The fuel tanks are considered as rigid shells of revolution. The liquid, contained in the tanks, is supposed to be an ideal and incompressible one, and its flow, induced by external excitations, is irrotational. The problem of free axisymmetric harmonic oscillations of the fluid-filled rigid compound shell is considered. The mixed boundary value problem is formulated, and boundary conditions are received on the boundaries of the fluid domain. The non-penetration conditions is formulated on the rigid shell boundaries, and on the free liquid surface there are kinematic and dynamic boundary conditions. The flow fluctuations are described by using the velocity potential that for ideal and incompressible liquids satisfies the Laplace equation. For its solution, the integral representation is in use. But there are two unknown functions, the velocity potential and the function describing the shape and position of the free surface during time. The transformation of the boundary conditions leads to eliminating one of these unknown functions. So, the system of boundary singular integral equations is obtained to determine the velocity potential. The discrete singularity method and the boundary element method are applied for its numerical solution. The problem of determining own modes and frequencies is solved by using the techniques, where the surface tension effects are neglected. Then these modes are considered as basic functions to determine the modes and frequencies of the liquid taking into account the surface tension. Thus, in this work the method is developed which takes into account the surface tension effect on the frequency of fluid fluctuations in the rigid tank under low gravity conditions. The surface of the interaction between liquid media and gas is considered as a thin membrane, whose thickness is neglected. The fluid pressure on this surface is determined by the Laplace-Young equation. The developed method is useful for the investigation of free and forced fluid oscillations in rigid compound shells with arbitrary meridians.

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Section: постановка задачіunclassified

Method of discrete singularities in problems of filler vibrations in fuel tanks under overloads and at low gravity

2019

Bulletin of V.N. Karazin Kharkiv National University, Series «Mathematical Modeling. Information Technology. Automated Control

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“…where c k (t) are unknown coefficients, and u k are eigenmodes of the empty shell vibrations. Consider the potential Φ as 1 2      , as it was done in [6]. The series for potential Φ 1 can be written as…”

Section: Liquid Induced Vibrations Of a Compound Cylindrical-sphericamentioning

confidence: 99%

“…The kernels of integral operators A and B for both potential and elasticity problems can be represented on terms of complete elliptic integrals [6], [10]. The basic procedure is to start with the standard boundary integral equations, replace Cartesian coordinates with cylindrical ones, and integrate with respect to , taking into account that…”

Section: Boundary Integral Equations In Axisymmetric Formulationmentioning

confidence: 99%

“…Eqn (12) are perfect contact conditions. The ratio of cylinder and inclusion heights is H 1 /H 2 = 5, and the ratio of their radii is R 1 /R 2 = 2, elasticity moduli are E 1 = 2,11ꞏ10 6 MPa, E 2 = 2,11ꞏ10 7 MPa, and Poisson's ratios are  1 =  2 = 0.3. We investigate the disturbance in a stress-strain state in the cylinder caused by the presence of this inhomogeneity.…”

Section: Stress-strain State Of the Elastic Cylinder With The Inhomogmentioning

confidence: 99%

“…The global system matrix based on MDBEM has a blocked and sparse character, and therefore the well-developed solvers for sparse systems can be employed to solve it. The use of MDBEM not only improve both the efficiency and computational speed, but also can solve fracture problems by dividing sub-domains along crack surfaces [4], multi-media problems [5], and problems for tanks with baffles [6] by dividing sub-domains along interfaces and baffle surfaces. In many engineering problems both geometry and boundary conditions are axisymmetric about some axis.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Multi-Domain Boundary Element Method for Axisymmetric Problems in Potential Theory and Linear Isotropic Elasticity

Gnitko

Degtyariov

Karaiev

et al. 2018

WIT Transactions on Engineering Sciences

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The paper presents an approach based on reduced boundary element methods to resolve axisymmetric problems in potential and linear isotropic elasticity theories. The singular integral equations for these problems are received using fundamental solutions. Initially three-dimensional problems expressed in Cartesian coordinates are transformed to cylindrical ones and integrated with respect to the circumference coordinate. So the three-dimensional axisymmetric problems are reduced to systems of singular integral equations requiring the evaluation of linear integrals only. The fundamental solutions and their derivatives are expressed in terms of complete elliptic integrals. The effective algorithm for treatment of the singular integrals is proposed. The multi-domain boundary element method is applied for the numerical simulation. As examples, the following problems are considered: fluid induced vibrations of a compound cylindrical-spherical elastic shell partially filled with an ideal incompressible liquid, and axisymmetric elasticity problems for an isotropic body with rigid or elastic circular cylindrical inclusions.

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Dampers Influence on Sloshing Mitigation in Fuel Tanks of Launch Vehicles and Reservoirs

Degtyariov,

Kriutchenko,

Osypov

et al. 2024

Lecture Notes in Networks and Systems

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BEM and FEM Analysis of the Fluid-Structure Interaction in Tanks With Baffles

Cited by 14 publications

References 9 publications

Method of discrete singularities in problems of filler vibrations in fuel tanks under overloads and at low gravity

Method of discrete singularities in problems of filler vibrations in fuel tanks under overloads and at low gravity

Multi-Domain Boundary Element Method for Axisymmetric Problems in Potential Theory and Linear Isotropic Elasticity

Dampers Influence on Sloshing Mitigation in Fuel Tanks of Launch Vehicles and Reservoirs

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