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Effects of internal pressure on bending buckling of imperfect functionally graded thin cylinders

机译：内压对不完善功能梯度薄圆柱体弯曲屈曲的影响

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摘要

Analytical and numerical study of buckling of imperfect cylindrical shells made by functionally graded materials (FGM) are presented. Critical bending moment is determined in presence of internal pressure. In the analytical solution, the eigenvalue method is used and the buckling equation of defective shell is derived based on the generalized Donnell shallow shell theory. Three types of geometrical imperfections in longitudinal and circumferential directions and also their combinations are considered. The effects of some parameters such as internal pressure, shell dimensions, amplitude and shape of the imperfections and degree of the material grading are investigated. Results show that the defects greatly decrease the critical bending moment and change the buckling mode. Increasing the percentage of ceramic content, radius and thickness increase the buckling load while the cylinder length has not considerable effects in perfect shells.
机译：提出了功能梯度材料（FGM）制成的不完善圆柱壳屈曲的分析和数值研究。在存在内部压力的情况下确定临界弯矩。在解析解中，使用特征值法，并基于广义的唐纳尔浅壳理论推导了缺陷壳的屈曲方程。考虑了纵向和圆周方向上的三种几何缺陷以及它们的组合。研究了一些参数的影响，例如内部压力，壳体尺寸，缺陷的幅度和形状以及材料分级的程度。结果表明，缺陷大大降低了临界弯矩并改变了屈曲模式。增大陶瓷含量，半径和厚度的百分比会增加屈曲载荷，而圆柱长度对于完美的壳体没有太大影响。

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