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

A. I. Zemlyanukhin | Zendy; А. В. Бочкарев | Zendy; Л. И. Могилевич | Zendy; Ekaterina G. Tindova | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

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

Author(s) -

A. I. Zemlyanukhin,

А. В. Бочкарев,

Л. И. Могилевич,

Ekaterina G. Tindova

Publication year - 2016

Publication title -

modelling and simulation in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 20

eISSN - 1687-5591

pISSN - 1687-5605

DOI - 10.1155/2016/6596231

Subject(s) - rotational symmetry , physics , nonlinear system , classical mechanics , padé approximant , diagonal , mathematical analysis , exact solutions in general relativity , shell (structure) , longitudinal wave , mechanics , wave propagation , mathematics , geometry , optics , materials science , quantum mechanics , composite material

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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research