Axisymmetric Longitudinal-Bending Waves in a Cylindrical Shell Interacting with a Nonlinear Elastic Medium. (27th November 2016)

• Record Type: Journal Article
• Authors: Zemlyanukhin, Alexander I.; Bochkarev, Andrey V.; Mogilevich, Lev I.; Tindova, Ekaterina G.
• Other Names: Qiu Zhiping Academic Editor.
• Is Part Of: Modelling and simulation in engineering. Volume 2016(2016)
• Publication Date: 2016-11-27
• Subjects: Engineering -- Simulation methods -- Periodicals; Engineering -- Mathematical models -- Periodicals; 620.004
• DOI: 10.1155/2016/6596231
• Languages: English
• ISSNs: 1687-5591

Abstract

Abstract : 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.