Journal
NONLINEAR DYNAMICS
Volume 104, Issue 4, Pages 3561-3579Publisher
SPRINGER
DOI: 10.1007/s11071-021-06582-1
Keywords
Axial motion; Slender structure; Control rod drop; Guide thimble vibration; Absolute nodal coordinate formulation; Friction contact
Categories
Funding
- European Regional Development Fund-Project Research and Development of Intelligent Components of Advanced Technologies for the Pilsen Metropolitan Area (InteCom) [CZ.02.1.01/0.0/0.0/17_048/0007267]
- Motivation system of the University of West Bohemia-Part Postdoc
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This paper discusses the modeling and dynamic analysis of thin or slender flexible bodies with axial motion, contacts, and friction interaction. The combination of the absolute nodal coordinate formulation and the classical finite element method is used, taking into account interaction phenomena such as fluid flow, contact forces, gravitation, and buoyancy forces. The research reveals interesting conclusions about the rod drop time affected by vibrating guide thimbles in the nuclear control rod drop problem.
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.
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