LONGITUDINAL-RADIAL VIBRATIONS OF THE ELASTIC CYLINDRICAL SHELL FILLED WITH A VISCOUS COMPRESSIBLE FLUID

被引：0

作者：

Khudoynazarov, Kh Kh ^{[1
]}

Khalmuradov, R., I ^{[1
]}

Yalgashev, B. F. ^{[1
]}

机构：

[1] Samarkand State Univ, Tech Sci, Samarkand, Uzbekistan

来源：

VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS | 2021年 / 69期

关键词：

cylindrical shell; viscous fluid; vibrations; refined equations; stresses; displacements; EQUATIONS; LIQUID;

D O I：

10.17223/19988621/69

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper, the longitudinal-radial vibrations of the elastic cylindrical shell filled with a viscous compressible fluid are studied using the mathematical model proposed. The general equations for the longitudinal-radial vibrations of the shell made of the homogeneous and isotropic material are derived. These equations can be used to obtain refined equations of vibrations. The proposed algorithm allows one to uniquely determine the stress-strain state of points in any section of the considered hydroelastic system using the field of the required functions in coordinates and time. The benchmark problem of harmonic oscillations in a cylindrical shell with a viscous fluid is solved. The dependences of the frequency on the wave number are obtained for various shell-fluid interaction cases.

引用

页码：139 / 154

页数：16

共 29 条

[1] Natural Vibrations of a Liquid-Transporting Pipeline on an Elastic Base [J].

Akulenko, L. D. ;

Gavrikov, A. A. ;

Nesterov, S. V. .

MECHANICS OF SOLIDS, 2018, 53 (01) :101-110

[2]

Ambartsumyan S.A., 1954, PRIKLADNAYA MATEMATI, V18, P303

[3]

[Anonymous], 1943, PRIKL MAT MECH

[4]

[Anonymous], 1949, General Theory of Shells and its Application in Engineering

[5] Determination of the Natural Frequencies of Compound Anisotropic Shell Systems Using Various Deformation Models [J].

Bespalova, E. I. ;

Boreiko, N. P. .

INTERNATIONAL APPLIED MECHANICS, 2019, 55 (01) :41-54

[6]

Darevskiy V.M., 1961, PRIKLADNAYA MATEMATI, V3, P519

[7] REFINEMENT OF EQUATIONS DESCRIBING LONGITUDINAL-RADIAL VIBRATIONS OF A CIRCULAR CYLINDRICAL VISCOELASTIC SHELL [J].

FILIPPOV, IG ;

KUDAINAZAROV, K .

SOVIET APPLIED MECHANICS, 1990, 26 (02) :161-168

[8] GENERAL TRANSVERSE VIBRATIONS EQUATIONS FOR A CIRCULAR CYLINDRICAL VISCOELASTIC SHELL [J].

FILIPPOV, IG ;

KUDAINAZAROV, K .

SOVIET APPLIED MECHANICS, 1990, 26 (04) :351-357

[9] Boundary-value problems of longitudinal vibrations of circular cylindrical shells [J].

Filippov, IG ;

Kudainazarov, K .

INTERNATIONAL APPLIED MECHANICS, 1998, 34 (12) :1204-1210

[10] THEORY OF CRACKS IN ELASTIC BODIES WITH INITIAL STRESS - FORMULATION OF PROBLEMS, TEAR CRACKS [J].

GUZ, AN .

SOVIET APPLIED MECHANICS, 1980, 16 (12) :1015-1024

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