Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2011-03-01

Journal: APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION

Included Journals: EI、SCIE

Volume: 32

Issue: 3

Page Number: 301-308

ISSN: 0253-4827

Key Words: composite rubber tube; radial inflation; stability; nonlinearly periodic oscillation

Abstract: The inflation mechanism is examined for a composite cylindrical tube composed of two incompressible rubber materials, and the inner surface of the tube is subjected to a suddenly applied radial pressure. The mathematical model of the problem is formulated, and the corresponding governing equation is reduced to a second-order ordinary differential equation by means of the incompressible condition of the material, the boundary conditions, and the continuity conditions of the radial displacement and the radial stress of the cylindrical tube. Moreover, the first integral of the equation is obtained. The qualitative analyses of static inflation and dynamic inflation of the tube are presented. Particularly, the effects of material parameters, structure parameters, and the radial pressure on radial inflation and nonlinearly periodic oscillation of the tube are discussed by combining numerical examples.