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V. Naumenko

Bio: V. Naumenko is an academic researcher. The author has contributed to research in topics: Finite element method & Shell (structure). The author has an hindex of 4, co-authored 7 publications receiving 58 citations.

Papers
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Journal ArticleDOI
TL;DR: In this article, the normal modes of vibrations and natural frequencies of elastic shells of revolution with an arbitrary meridian, partially filled with a fluid are determined as a linear combination of the natural modes of vibration in vacuum.
Abstract: This paper describes the method of determining the normal modes of vibrations and natural frequencies of elastic shells of revolution with an arbitrary meridian, partially filled with a fluid. The modes of vibration of the shells with fluids are determined as a linear combination of the natural modes of vibration in vacuum. The solution of the problem of hydroelastic vibrations has been obtained using the methods of the boundary element (BEM) and the finite element (FEM). Numerical investigations of vibrations of hemi-spherical shells conveying fluid have been conducted and analyzed. Illustrative examples are provided to demonstrate the accuracy and efficiency of the developed numerical procedure.

33 citations

Proceedings ArticleDOI
23 Jun 2011
TL;DR: In this article, the analysis method of dynamic behavior of cylindrical tanks partially filled with liquid that are under short-time impulsive load is under consideration, which relies on reducing the problem of determining the fluid pressure to the system of singular integral equations.
Abstract: Cylindrical tanks partially filled with liquid are the most general type of reservoirs for oil and other chemical-dangerous agent storage. Destruction of such tanks under seismic or impulsive load can lead to negative ecological consequences. The analysis method of dynamic behavior of cylindrical tanks partially filled with liquid that are under short-time impulsive load is under consideration. The method relies on reducing the problem of determining the fluid pressure to the system of singular integral equations. The coupled problem is solved using combination BEM and FEM. Differential equations of transient problem are solved numerically by Runge-Kutta method of 4th and 5th order. Numerical investigations of forced vibrations of the cylindrical tank filled with the incompressible fluid under seismic load have been carried out.

14 citations

Journal ArticleDOI
TL;DR: In this article, the Kirchhoff-love linear theory hypotheses are applied to simulate the vibrations of the baffled elastic fuel tank partially filled with a liquid, and the problem of the fluid-structure interaction is solved using the reduced boundary and finite element methods.
Abstract: In this paper we consider vibrations of the baffled elastic fuel tank partially filled with a liquid. The compound shell was a simplified model of a fuel tank. The shell is considered to be thin and the Kirchhoff–Love linear theory hypotheses are applied. The liquid is supposed to be an ideal and incompressible one and its flow introduced by the vibrations of a shell is irrotational. The problem of the fluid-structure interaction was solved using the reduced boundary and finite element methods. The tank structure was modeled by the FEM and the liquid sloshing in a fluid domain was described by using the multi-domain BEM. The rigid and elastic baffled tanks of different forms were considered. The dependencies of frequencies via the filling level were obtained numerically for vibrations of the fluid-filled tanks with and without baffles.

12 citations

Proceedings ArticleDOI
31 Aug 2010
TL;DR: In this paper, a detailed study of free and forced vibrations of a shell of revolution with an arbitrary meridian was presented, where the boundary element method was used to determine the fluid pressure on the shell.
Abstract: The coupled problem of free and forced vibration of shells of revolution interacting with the liquid is under consideration. The problem was reduced to singular integral equations. The main objective of this paper is to present a detailed study of free and forced vibrations of a shell of revolution with an arbitrary meridian. For solving the boundary value problem of determining the fluid pressure on the shell, the boundary element method (BEM) is used. This method substantially reduces the computer time for the analysis and reveals new qualitative possibilities in modeling the dynamic behavior of shells. Numerical investigations of natural frequencies and mode shapes of the cylindrical tank with the incompressible fluid have been carried out. The behavior of structures subjected to a dynamic loading and interacting with the fluid is investigated.

5 citations

Proceedings ArticleDOI
TL;DR: In this paper, the problem of analyzing the dynamics of shells of revolution partially filled with an ideal incompressible liquid was reduced to solving the system of singular integral equations, and the solution was obtained by using a coupled BEM and FEM in-house solver.
Abstract: This paper deals with the fluid-structure interaction analysis of a shell partially filled with a liquid. The shell is considered to be thin and the Kirghoff-Lave linear theory hypotheses are applied. The liquid is ideal and incompressible. The problem of analysing the dynamics of shells of revolution partially filled with an ideal incompressible liquid was reduced to solving the system of singular integral equations. The solution was obtained by using a coupled BEM and FEM in-house solver. The tank structure is modelled by the FEM and the liquid sloshing in the fluid domain is described by the BEM. The shell vibrations coupled with liquid sloshing under the force of gravity were considered. The shell and sloshing modes were analysed simultaneously. The free vibration analysis of the elastic cylindrical shell was carried out using the proposed techniques.

1 citations


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Journal ArticleDOI
TL;DR: In this article, a semi-analytical method is presented to analyze the vibration response of submerged stiffened combined shells, where the structural responses of a submarine hull can be obtained by coupled PTMM and wave superposition method.

43 citations

Journal ArticleDOI
TL;DR: In this paper, the influence of roof on the natural frequencies and the modes of fixed roof, ground supported, liquid storage tanks is presented in the finite element package ANSYS.
Abstract: The influence of roof on the natural frequencies and the modes of fixed roof, ground supported, liquid storage tanks is presented in this paper. Attention is given to partially filled tanks with the same heights of 12.19 m and the aspect ratios ( H / R ) of 2, 1.52, and 1.33. The bottom of tanks is considered to be anchored to the foundation. The effect of the roof, along with the liquid height, on dynamic properties is investigated. For this purpose, each tank is modeled in 4 liquid levels, equal to 1.80, 4.80, 8.50, and 10.90 m and in two various roof conditions: with roof (WR) and open top (OT). The finite element package ANSYS is used to model the tank–liquid systems. Tank roof and wall are meshed by shell elements and the liquid is modeled using fluid finite elements. The fluid–structure interaction is taken into account by coupling the nodes at the interface of the fluid and the shell in the radial direction. Results of ambient vibration tests are used to verify the numerical procedure in which good agreement is observed between the numerical and the experimental modal parameters. It is found that the influence of roof on natural frequencies of axial and vertical modes is negligible whereas its effect on the natural frequencies of circumferential modes is significant. It is also concluded that at low liquid levels, equal to 1.80 and 4.80 m, the tank roof does affect the axial modes of the tallest and medium height tanks while, at all of the considered liquid heights and aspect ratios, the tank roof affects the circumferential mode shapes; this confirms the idea that the roof does restrain the tank top against radial deformations.

24 citations

Journal ArticleDOI
TL;DR: In this paper , the free vibration response of a conical system supported by an intermediate solid ring is investigated, where the ingredients of the shell are considered a polymer reinforced with graphene platelets (GPLs).
Abstract: This article investigates the free vibration response of a conical system supported by an intermediate solid ring. The ingredients of the shell are considered a polymer reinforced with graphene platelets (GPLs). The distribution of GPLs is assumed to be uniform, and their orientation is considered random in each layer of the composite. The variation of GPL weight fraction within layers is based on the functionally graded patterns. Effective material properties are calculated utilizing the Halpin–Tsai homogenization procedure. The fundamental formulation of the shell is founded by the first-order shear deformation theory and Donnell’s kinematic assumptions. The motion equations and associated boundary and compatibility conditions are derived by Hamilton’s principle. Solving the governing equations due to the existence of a solid frequency control ring is not possible using conventional numerical methods. For this reason, a new type of GDQ method is applied, which is a combination of this technique with a finite element procedure (GDQE). By combining this method with the method of trigonometric expansion (TE) analysis, the equations of motion of the structure are solved. After illustrating the validation studies, parametric examples are given to investigate the effect of material properties, boundary conditions, and ring position on the shell frequencies.

23 citations

Journal ArticleDOI
TL;DR: In this paper, the linear three-dimensional piezoelasticity theory in conjunction with the versatile transfer matrix approach is employed to investigate the steady-state nonaxisymmetric fluid-structure-coupled vibrations of an arbitrarily thick bilaminate simply supported hollow cylinder of finite length, composed of an inner layer of orthotropic functionally graded material perfectly bonded to an outer layer of radially/axially/circumferentially polarized functionally graded piezoceramic material.
Abstract: The linear three-dimensional piezoelasticity theory in conjunction with the versatile transfer matrix approach is employed to investigate the steady-state nonaxisymmetric fluid–structure-coupled vibrations of an arbitrarily thick bilaminate simply supported hollow cylinder of finite length, composed of an inner layer of orthotropic functionally graded material perfectly bonded to an outer layer of radially/axially/circumferentially polarized functionally graded piezoceramic material. The cylinder is filled with a compressible nonviscous fluid and may be subjected to arbitrary time-harmonic on-surface mechanical drives. The analytical results are illustrated with numerical examples in which water-filled homogeneous PZT4–steel composite cylinders are driven by harmonic external concentrated or distributed radial surface loads. When the outer piezoelectric layer is operating in the receiving (sensing) mode, the frequency spectrums of the induced voltage, stress components, and on-axis acoustic pressure are c...

22 citations

Journal ArticleDOI
TL;DR: In this article, an analysis of low-frequency liquid vibrations in rigid partially filled containers with baffles has been presented, where the liquid is supposed to be an ideal and incompressible one and its flow is irrotational.
Abstract: Abstract This paper presents an analysis of low-frequency liquid vibrations in rigid partially filled containers with baffles. The liquid is supposed to be an ideal and incompressible one and its flow is irrotational. A compound shell of revolution is considered as the container model. For evaluating the velocity potential the system of singular boundary integral equations has been obtained. The single-domain and multi-domain reduced boundary element methods have been used for its numerical solution. The numerical simulation is performed to validate the proposed method and to estimate the sloshing frequencies and modes of fluid-filled cylindrical shells with baffles in the forms of circular plates and truncated cones. Both axisymmetric and non-axisymmetric modes of liquid vibrations in baffled and un-baffled tanks have been considered. The proposed method makes it possible to determine a suitable place with a proper height for installing baffles in tanks by using the numerical experiment.

18 citations