Axisymmetric Longitudinal-Bending Waves in a Cylindrical Shell Interacting with a Nonlinear Elastic Medium
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 Pad...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Modelling and Simulation in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2016/6596231 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832567736475058176 |
|---|---|
| author | Alexander I. Zemlyanukhin Andrey V. Bochkarev Lev I. Mogilevich Ekaterina G. Tindova |
| author_facet | Alexander I. Zemlyanukhin Andrey V. Bochkarev Lev I. Mogilevich Ekaterina G. Tindova |
| author_sort | Alexander I. Zemlyanukhin |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-7e0b858b2e4c41db983abe01c0c796b1 |
| institution | Kabale University |
| issn | 1687-5591 1687-5605 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Modelling and Simulation in Engineering |
| spelling | doaj-art-7e0b858b2e4c41db983abe01c0c796b12025-02-03T01:00:37ZengWileyModelling and Simulation in Engineering1687-55911687-56052016-01-01201610.1155/2016/65962316596231Axisymmetric Longitudinal-Bending Waves in a Cylindrical Shell Interacting with a Nonlinear Elastic MediumAlexander I. Zemlyanukhin0Andrey V. Bochkarev1Lev I. Mogilevich2Ekaterina G. Tindova3Department of Applied Mathematics and System Analysis, Yuri Gagarin State Technical University of Saratov, Saratov, RussiaDepartment of Applied Mathematics and System Analysis, Yuri Gagarin State Technical University of Saratov, Saratov, RussiaDepartment of Applied Mathematics and System Analysis, Yuri Gagarin State Technical University of Saratov, Saratov, RussiaDepartment of Applied Mathematics and System Analysis, Yuri Gagarin State Technical University of Saratov, Saratov, RussiaA 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.http://dx.doi.org/10.1155/2016/6596231 |
| spellingShingle | Alexander I. Zemlyanukhin Andrey V. Bochkarev Lev I. Mogilevich Ekaterina G. Tindova Axisymmetric Longitudinal-Bending Waves in a Cylindrical Shell Interacting with a Nonlinear Elastic Medium Modelling and Simulation in Engineering |
| title | Axisymmetric Longitudinal-Bending Waves in a Cylindrical Shell Interacting with a Nonlinear Elastic Medium |
| title_full | Axisymmetric Longitudinal-Bending Waves in a Cylindrical Shell Interacting with a Nonlinear Elastic Medium |
| title_fullStr | Axisymmetric Longitudinal-Bending Waves in a Cylindrical Shell Interacting with a Nonlinear Elastic Medium |
| title_full_unstemmed | Axisymmetric Longitudinal-Bending Waves in a Cylindrical Shell Interacting with a Nonlinear Elastic Medium |
| title_short | Axisymmetric Longitudinal-Bending Waves in a Cylindrical Shell Interacting with a Nonlinear Elastic Medium |
| title_sort | axisymmetric longitudinal bending waves in a cylindrical shell interacting with a nonlinear elastic medium |
| url | http://dx.doi.org/10.1155/2016/6596231 |
| work_keys_str_mv | AT alexanderizemlyanukhin axisymmetriclongitudinalbendingwavesinacylindricalshellinteractingwithanonlinearelasticmedium AT andreyvbochkarev axisymmetriclongitudinalbendingwavesinacylindricalshellinteractingwithanonlinearelasticmedium AT levimogilevich axisymmetriclongitudinalbendingwavesinacylindricalshellinteractingwithanonlinearelasticmedium AT ekaterinagtindova axisymmetriclongitudinalbendingwavesinacylindricalshellinteractingwithanonlinearelasticmedium |