Axisymmetric Longitudinal-Bending Waves in a Cylindrical Shell Interacting with a Nonlinear Elastic Medium

被引：1
|
作者：
Zemlyanukhin, Alexander I. [1 ]
Bochkarev, Andrey V. [1 ]
Mogilevich, Lev I. [1 ]
Tindova, Ekaterina G. [1 ]
机构：
[1] Yuri Gagarin State Tech Univ Saratov, Dept Appl Math & Syst Anal, Saratov, Russia
来源：
MODELLING AND SIMULATION IN ENGINEERING | 2016年 / 2016卷
关键词：
D O I：
10.1155/2016/6596231
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A nonlinear differential equation is derived which describes the propagation of axisymmetric stationary longitudinal-bending waves in infinite cylindrical shell of Timoshenko type, interacting with the external nonlinear elastic medium. A modified perturbation method based on the use of diagonal Pade approximants was applied to build exact solitary-wave solutions of the derived equation in the form of traveling front and the traveling pulse. Numerical solutions of the equation, obtained by means of finite difference method, are in good agreement with the corresponding exact analytical ones.
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页数：7
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