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The buckling of a tube under external pressure

机译:在外部压力下屈曲

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This paper presents the structural analysis and probabilistic assessment of the buckling of a pipe under external pressure. The study was conducted to improve safety of a Nuclear Power station where several hundred such pipes are used which couldbe subjected to an external pressure of uncertain magnitude under some fault conditions.A finite element model was developed to predict the failure mode of a pipe under external pressure and the mathematical model was validated by test workSensitivity studies were performed to examine the effects of varying geometric and material properties on the strength of the pipe. These studies looked at the changes in strength of the pipe due to varying pipe bore, wall thickness, initial ovality,Young's modulus, yield stress and work hardening. A sensitivity study also looked at the effect of introducing a stiffener at the mid section of the model to determine the effect this would have on the critical buckling pressure of the pipe.The model was also used to understand the post collapse behaviour of the pipe in case of a need to repair any collapsed pipe.Based on the estimate of the strength for the pipe and allowing for the variation in geometry and material properties which might reasonably be expected, a probabilistic assessment was carried out to establish a relationship between the mean pressure andthe probability of failure. This relationship was then used to set a limit on the mean value of the external pressure such that the probability of failure of any pipe remains less than 1%. Design modifications were then made to ensure that the meanexternal pressure stays within the specified limit.
机译:本文介绍了外部压力下管道屈曲的结构分析和概率评估。进行了该研究以改善核电站的安全性,其中使用了几百这样的管道,其中几百个这些管道在某些故障条件下遭受不确定幅度的外部压力。开发了有限元模型以预测外部管道的故障模式通过测试效率研究验证了压力和数学模型,进行了研究,以检查不同几何和材料特性对管子强度的影响。这些研究由于不同的管孔,壁厚,初始椭圆形,杨氏模量,屈服应力和硬化而导致管道强度的变化。敏感性研究还研究了在模型的中间部分引入加强筋的影响,以确定这对管道的关键屈曲压力有关。模型也用于了解管道的后塌陷行为需要修复任何塌陷的管道。基于管道强度的估计,并允许具有合理预期的几何形状和材料特性的变化,进行了概率评估,以建立平均压力之间的关系并且失败的可能性。然后使用这种关系来设置对外部压力的平均值的限制,使得任何管道的失效概率仍然小于1%。然后进行设计修改,以确保是最低压力保持在规定的限度内。

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