Mathematical Modeling of Nonlinear Waves in an Elastic Cylindrical Shell Surrounded by an Elastic Medium and Containing a Viscous Incompressible Liquid

被引：2
|
作者：
Blinkov, Yu. A. [1 ]
Blinkova, A. Yu. [2 ]
Evdokimova, E. V. [2 ]
Mogilevich, L. I. [2 ]
机构：
[1] NG Chernyshevskii Saratov State Univ, Saratov 410013, Russia
[2] Yuri Gagarin State Tech Univ, Saratov 410054, Russia
来源：
ACOUSTICAL PHYSICS | 2018年 / 64卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
nonlinear waves; viscous incompressible liquid; cylindrical elastic shells; SOLITARY WAVES;
D O I：
10.1134/S106377101803003X
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
A mathematical model is proposed for a Kirchhoff-Love-type nonlinear elastic cylindrical shell surrounded by an elastic medium and containing a viscous incompressible liquid. The model is used to analyze wave processes both analytically and numerically. On the basis of the proposed computational algorithm, a software package is developed, which makes it possible to plot diagrams and to obtain numerical solutions to Cauchy problems with initial conditions taken in the form of exact solutions to dynamic equations of shells in the absence of the liquid.
引用
收藏
页码：274 / 279
页数：6
相关论文
共 50 条
  • [1] Mathematical Modeling of Nonlinear Waves in an Elastic Cylindrical Shell Surrounded by an Elastic Medium and Containing a Viscous Incompressible Liquid
    Yu. A. Blinkov
    A. Yu. Blinkova
    E. V. Evdokimova
    L. I. Mogilevich
    [J]. Acoustical Physics, 2018, 64 : 274 - 279
  • [2] Nonlinear Deformation Waves in a Geometrically and Physically Nonlinear Viscoelastic Cylindrical Shell Containing Viscous Incompressible Fluid and Surrounded by an Elastic Medium
    Ardazishvili, R., V
    Wilde, M., V
    Kossovich, L. Yu
    [J]. IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2015, 15 (02): : 193 - 202
  • [3] Wave Occurrences Mathematical Modeling in Two Geometrically Nonlinear Elastic Coaxial Cylindrical Shells, Containing Viscous Incompressible Liquid
    Blinkov, Yu A.
    Mesyanzhin, A., V
    Mogilevich, L., I
    [J]. IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2016, 16 (02): : 184 - 197
  • [4] Mathematical Modeling of Incompressible Viscous Liquid Layer Interaction Dynamics in an Annular Slit with Its Wall, Surrounded by Elastic Medium
    Mogilevich, Lev I.
    Popov, Victor S.
    [J]. 2016 DYNAMICS OF SYSTEMS, MECHANISMS AND MACHINES (DYNAMICS), 2016,
  • [5] Buckling of a short cylindrical shell surrounded by an elastic medium
    Naili, S
    Oddou, C
    [J]. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2000, 67 (01): : 212 - 214
  • [6] Buckling of a short cylindrical shell surrounded by an elastic medium
    Naili, S.
    Oddou, C.
    [J]. 1600, ASME, Fairfield, NJ, United States (67):
  • [7] Bending oscillations of a cylinder, surrounded by an elastic medium and containing a viscous liquid and an oscillator
    Mogilevich, Lev I.
    Popov, Victor S.
    Kondratov, Dmitry V.
    Rabinskiy, Lev N.
    [J]. JOURNAL OF VIBROENGINEERING, 2017, 19 (08) : 5758 - 5766
  • [8] OSCILLATIONS OF A CYLINDRICAL SHELL FILLED WITH A FLUID AND SURROUNDED BY AN ELASTIC MEDIUM
    MOLOTKOV, LA
    KRAUKLIS, PV
    [J]. JOURNAL OF APPLIED MATHEMATICS AND MECHANICS-USSR, 1967, 31 (05): : 922 - &
  • [9] Axisymmetric longitudinal waves in a cylindrical shell interacting with a nonlinear elastic medium
    Zemlyanukhin, A. I.
    Bochkarev, A. V.
    Erofeev, V. I.
    Ratushny, A. V.
    [J]. WAVE MOTION, 2022, 114
  • [10] Penetration of an elastic circular cylindrical shell into an incompressible liquid
    M. F. Ionina
    [J]. Journal of Applied Mechanics and Technical Physics, 1999, 40 (6) : 1163 - 1172
12345