Liquid vibrations in circular cylindrical tanks with and without baffles under horizontal and vertical excitations

Strelnikova, Elena; Choudhary, Nisha; Kriutchenko, Denys; Gnitko, V.; Tonkonozhenko, A. M.

doi:10.1016/j.enganabound.2020.07.024

Cited by 26 publications

(16 citation statements)

References 22 publications

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“…The non-penetration condition of the wet tank surface (S 1 ) was applied [13]. On the free surface, the following kinematic and dynamic boundary conditions are satisfied [6], [9]:…”

Section: Problem Statementmentioning

confidence: 99%

“…Problems involving axisymmetric bodies with arbitrary boundary conditions are best treated using cylindrical coordinates. With a cylindrical coordinates system (, z, ), one can represent the velocity potential  that satisfies a given boundary value problem ( 6), (7), as follows [6]:…”

Section: Problem Statementmentioning

confidence: 99%

“…For these numerical simulations, three basic systems were built, similar to previous studies [6]. The elastic empty shell modes are first.…”

Section: Vibrations Of Elastic Fluid-filled Truncated Conical Shellsmentioning

confidence: 99%

“…Mixed boundary value problems for elliptic equations with periodic boundary conditions occur in a wide range of engineering applications, such as composite and fluid mechanics [1], [2], vibrations of structural elements [3], crack propagation in elastic mediums [4], fluid-structure interactions [5], [6], cyclically symmetrical structure design [7], and more.…”

Section: Introductionmentioning

confidence: 99%

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Boundary Element Method Analysis of Boundary Value Problems With Periodic Boundary Conditions

Gnitko

Karaiev

Choudhary

et al. 2021

WIT Transactions on Engineering Sciences

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This paper explores non-axisymmetric boundary value problems for the Laplace equation. Neumann's, Dirichlet's and mixed boundary conditions are involved, supposing their periodic behaviour. Boundary value problems arise as auxiliary issues in many practical applications. Among them there are problems related to numerical simulation of vibrations of fluid-filled elastic shells of revolution, coupled vibrations of elastic circular plates resting on a sloshing liquid, crack propagation in elastic mediums, and more. The common feature in these problems is the necessity to obtain the numerical solution of the Laplace equation under different boundary conditions. As these problems are auxiliary, it is necessary to obtain their numerical solutions with high accuracy. The most effective method to solve these problems is the boundary elements method (BEM). Here a new variant of BEM is proposed for the axisymmetric calculation domain with given periodic functions for boundary conditions. The shape of the calculation domain allows us to reduce surface integral equations to one-dimensional ones. In doing so, we must evaluate elliptic-like inner integrals with high accuracy, to elaborate the method of calculation of the outer integrals with logarithmic, Cauchy or Hadamard finite part singularities. An efficient method for evaluating elliptic-like integrals was developed using a special series for integrands, and the quadrature equations were obtained for highprecision calculation of outer integrals. The method developed can be used to determine free vibration modes and frequencies for elastic fluid-filled shells of revolution.

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“…The non-penetration condition of the wet tank surface (S 1 ) was applied [13]. On the free surface, the following kinematic and dynamic boundary conditions are satisfied [6], [9]:…”

Section: Problem Statementmentioning

confidence: 99%

Section: Problem Statementmentioning

confidence: 99%

“…For these numerical simulations, three basic systems were built, similar to previous studies [6]. The elastic empty shell modes are first.…”

Section: Vibrations Of Elastic Fluid-filled Truncated Conical Shellsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Boundary Element Method Analysis of Boundary Value Problems With Periodic Boundary Conditions

Gnitko

Karaiev

Choudhary

et al. 2021

WIT Transactions on Engineering Sciences

Self Cite

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show abstract

“…Faltinsen et al [8], Strelnikova et al [9] and Zhou-Bowers and Rizos [10] devoted to these problems are concerned with liquid sloshing in rigid shell systems. The vibrations of elastic structures containing liquids are analyzed in Avramov [5], Boyko et al [11], Strelnikova et al [12] and Saghi et al [13]. A second class is concerned with two-sided contact with liquids in simulating dynamic characteristics for blades of powerful wind turbines [4], aircraft wings [14], etc.…”

Section: Introductionmentioning

confidence: 99%

Singular and Hypersingular Integral Equations in Fluid–structure Interaction Analysis

Gnitko

KARAIEV

Degtyariov

et al. 2022

WIT Transactions on Engineering Sciences

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The paper presents new computational techniques based on coupled boundary and finite element methods to study fluid-structure interaction problems. Thin shells and plates are considered as structure elements interacting with an ideal and incompressible liquid. To describe the motion of both structural elements and the fluid, the basic relations of the continuous mechanics are incorporated. The liquid pressure is determined by applying the Laplace equation. Two kinds of boundary value problems are considered corresponding to one-sided and two-sided contact of structural elements with the liquid. Integral equations for numerical simulation of pressure are obtained. For a two-sided contact of the structural element with the liquid, hypersingular integral equations are received, whereas singular integral equations with logarithmic singularities describe the problems of one-sided contact. Considering the structure axial symmetry, the integral equations are reduced to one-dimensional ones. The finite element method for determining modes and frequencies of the elastic structure coupled with boundary element method for the hypersingular integral equation is implemented to find the fluid pressure on the structure element with two-sided contact with the liquid. The liquid pressure evaluation in axisymmetric problems is reduced to one-dimensional integral equations with kernels in the form of elliptic integrals. The effective technique is developed for numerical simulation of obtained singular integrals. The same technique is extended to hypersingular integral equations. The frequencies and modes of structure vibrations taking into account the added masses of the liquid are obtained. Thin circular plates and shells of revolution are considered as structure elements in numerical simulations. The accuracy and reliability of the proposed method are ascertained.

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Influence of Compressibility in Fluid - Structure Interaction Problems for Fluid-Filled Reservoirs

Choundhary

Usatova

Kriutchenko

et al. 2022

Lecture Notes in Mechanical Engineering

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Liquid vibrations in circular cylindrical tanks with and without baffles under horizontal and vertical excitations

Cited by 26 publications

References 22 publications

Boundary Element Method Analysis of Boundary Value Problems With Periodic Boundary Conditions

Boundary Element Method Analysis of Boundary Value Problems With Periodic Boundary Conditions

Singular and Hypersingular Integral Equations in Fluid–structure Interaction Analysis

Influence of Compressibility in Fluid - Structure Interaction Problems for Fluid-Filled Reservoirs

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