Mathematical model of elastic ribbed shell dynamics interaction with viscous liquid pulsating layer

Kondratov, Dmitry; Kondratova, J.N.; Mogilevich, L. I.; Rabinsky, Lev N.; Kuznetsova, Ekaterina

doi:10.12988/ams.2015.53185

Cited by 4 publications

(2 citation statements)

References 8 publications

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“…The fact is that in modern designs along with traditional materials (steel, wood, concrete, etc. ), new materials are widely used, in particular composites with a number of specific properties [4]. Thus, reinforcing polymers with fibers from high-strength materials makes it possible to obtain new lightweight structural material having high strength properties that exceed even the strength of modern steels [5].…”

Section: Introductionmentioning

confidence: 99%

Mathematical modeling of the solution to the problem of plate bending given various fastenings along the contour and various loads

Toibayev¹,

Uderbayeva²,

Bidakhmet³

et al. 2020

Vib. proced.

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The classical equations of plate bending in various fastenings along the contour and various loads are considered. Using the decomposition method, three auxiliary problems are formulated to determine the deflection of the plate. The task is to determine the individual terms of the decomposition coefficients from the individual terms of the load series. Then the system of algebraic equations is obtained to determine. If the plate contour is pivotally fixed along the contour, then the system of equations takes a known form and the expression for the deflection function is explicitly found. Approximate analytical solutions are obtained for the functions of deflections, internal force factors and stresses under various boundary conditions of the plate.

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Section: Introductionmentioning

confidence: 99%

Mathematical modeling of the solution to the problem of plate bending given various fastenings along the contour and various loads

Toibayev¹,

Uderbayeva²,

Bidakhmet³

et al. 2020

Vib. proced.

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show abstract

“…References [10][11][12] investigate the hydroelastic oscillations of three-layered plates, interacting with viscous pulsating liquid, as well as under inertial excitation. References [13][14][15][16][17][18] research in the axis-symmetric problem of geometrically regular and ribbed cylinder shells, as well as the ones, forming an annular channel. The non-linear longitudinal deformation wave propagation in cylinder shells, filled with viscous liquid and in axis-symmetric setting is presented in [19,20].…”

Section: Introductionmentioning

confidence: 99%

Bending oscillations of a cylinder, surrounded by an elastic medium and containing a viscous liquid and an oscillator

Mogilevich¹,

Popov²,

Kondratov³

et al. 2017

J. vibroeng.

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The article considers dynamic processes mathematical modeling in a mechanical system, consisting of an elastic hollow cylinder, surrounded by an elastic medium and containing viscous liquid and vibrating coaxial rigid cylinder. The amplitude frequency characteristic for investigating bending cylinder oscillations as one-mass system is defined. It is shown, that the constructed amplitude characteristic makes it possible to define the considered system resonance frequencies oscillations. The calculations demonstrated the significance of taking into account viscous liquid inertia and the surrounding elastic medium.

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Longitudinal Walls Oscillations of an Annular Channel Filled with Pulsating Viscous Fluid

Kondratov

Popov

Popova

2019

IOP Conf. Ser.: Earth Environ. Sci.

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The mathematical model for longitudinal oscillations study of elastically fixed walls of an annular channel filled with a viscous fluid is reviewed. We assume that the channel walls are formed by two coaxial cylinders. These cylinders were elastically fixed at the edges and could make only longitudinal oscillations. The fluid motion in the channel takes place due to assigned pulsating pressure difference. The creeping liquid motion is studied and the hydrodynamic parameters distribution laws of the annular fluid layer as well as the motion laws of the channel walls are estimated. The steady-state harmonic oscillations regime is considered. Amplitude frequency characteristics of the annular channel walls are constructed.

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Mathematical model of elastic ribbed shell dynamics interaction with viscous liquid pulsating layer

Cited by 4 publications

References 8 publications

Mathematical modeling of the solution to the problem of plate bending given various fastenings along the contour and various loads

Mathematical modeling of the solution to the problem of plate bending given various fastenings along the contour and various loads

Bending oscillations of a cylinder, surrounded by an elastic medium and containing a viscous liquid and an oscillator

Longitudinal Walls Oscillations of an Annular Channel Filled with Pulsating Viscous Fluid

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