This paper deals with the modelling and dynamic analysis of thin or slender flexible bodies characterized by axial motion, contacts and friction interaction. Such mechanical systems can be found in cable applications, in petroleum drilling industry, in biomedical applications and in nuclear equipments. An original combination of the absolute nodal coordinate formulation and the classical finite element method is used for the modelling of flexible slender structures moving inside flexible tubes and channels considering the overall system vibration. In a nuclear power plant, it allows to analyse mainly the influence of guide thimbles vibration on the control rod drop. The novelty of the introduced methodology is also in the original usage of the absolute nodal coordinate formulation in the problems of nuclear engineering. All the interaction phenomena such as effect of fluid flow, contact forces, gravitation and buoyancy forces are considered in the mathematical model. The particular application of the presented methodology on the problem of the nuclear control rod drop through vibrating bowed guide thimble helps to formulate interesting conclusions on the rod drop time affected by vibrating guide thimbles.

本文涉及以轴向运动、接触和摩擦相互作用为特征的薄或细长柔性体的建模和动力学分析。这种机械系统可以在电缆应用、石油钻探行业、生物医学应用和核设备中找到。绝对节点坐标公式和经典有限元方法的原始组合用于考虑整个系统振动的柔性细长结构在柔性管和通道内移动的建模。在核电站中，它允许主要分析导向套管振动对控制棒下落的影响。引入方法的新颖性还在于绝对节点坐标公式在核工程问题中的原始用法。数学模型中考虑了流体流动的影响、接触力、重力和浮力等所有相互作用现象。所提出的方法论通过振动弯曲导向套管在核控制棒下落问题上的特殊应用有助于得出有关振动导向套管影响的棒下降时间的有趣结论。