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.
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Project supported by the National Natural Science Foundation of China (Nos. 10872045 and 10721062), the Program for New Century Excellent Talents in University (No.NCET-09-0096), and the Fundamental Research Funds for the Central Universities (No.DC10030104)
Contributed by Hong-wu ZHANG
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Yuan, Xg., Zhang, Wz., Zhang, Hw. et al. Stability analysis of radial inflation of incompressible composite rubber tubes. Appl. Math. Mech.-Engl. Ed. 32, 301–308 (2011). https://doi.org/10.1007/s10483-011-1416-8
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DOI: https://doi.org/10.1007/s10483-011-1416-8