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
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