Stability Analysis of Radial Inflation of Incompressible Composite Rubber Tubes

YUAN Xue-gang; ZHANG Wen-zheng; ZHANG Hong-wu; ZHU Zheng-you

doi:10.3879/j.issn.1000-0887.2011.03.005

Volume 32 Issue 3

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Article Navigation > Applied Mathematics and Mechanics > 2011 > 32(3): 286-292

YUAN Xue-gang, ZHANG Wen-zheng, ZHANG Hong-wu, ZHU Zheng-you. Stability Analysis of Radial Inflation of Incompressible Composite Rubber Tubes[J]. Applied Mathematics and Mechanics, 2011, 32(3): 286-292. doi: 10.3879/j.issn.1000-0887.2011.03.005

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Stability Analysis of Radial Inflation of Incompressible Composite Rubber Tubes

doi: 10.3879/j.issn.1000-0887.2011.03.005

1.
School of Science, Dalian Nationalities University, Dalian, Liaoning 116600, P. R. China;

Received Date: 2010-12-24
Rev Recd Date: 2011-01-14
Publish Date: 2011-03-15

Abstract

Abstract

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

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References(9)

References

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