An incompressible, isotropic and homogeneous damaged Ogden material cylindrical tube is considered. The tube is kept under constant inflation pressure, and the respective small amplitude radial oscillations are studied. Ogden material model is based on experimental data and whose special cases are Mooney-Rivlin and the neo-Hookean. Stability and bifurcation analysis are the main topics of this work. Rubber material tube is mimicked as an incompressible damaged Ogden cylindrical material tube, and the stability results are interpreted. The study carried for the virgin case exhibits bifurcation for some thickness, whereas for the damaged case it depends both on the thickness and the extent of damage the material has experienced in its time history. Universal relations are obtained for a damaged Ogden cylindrical membrane. The analysis above carried for the Ogden material may be reduced to its special cases for Mooney-Rivlin and neo-Hookean as well. All the results are depicted graphically.

考虑了不可压缩，各向同性和均质损坏的奥格登材料圆柱管。该管保持在恒定的膨胀压力下，并研究了各自的小振幅径向振荡。奥格登材料模型基于实验数据，其特例是门尼-里夫林和新胡克族。稳定性和分叉分析是这项工作的主要主题。橡胶材料管被模拟为不可压缩的损坏的奥格登圆柱材料管，并解释了稳定性结果。对于原始情况进行的研究显示出一定厚度的分叉，而对于受损情况，则取决于材料在其时间历史中所经历的厚度和损坏程度。对于损坏的Ogden圆柱膜，可以获得通用关系。对于Ogden材料进行的上述分析可能会简化为Mooney-Rivlin和Neo-Hookean的特殊情况。所有结果均以图形方式描绘。