有限水域棒束附连水质量计算方法

Methods for Evaluating Added Masses of a Group of Circular Cylinders in Confined Fluid

目的给棒束型核反应堆等类似结构的抗冲击性能设计提供一定理论依据。方法首先通过势流理论计算得出单棒速度势,再利用泰勒展开和坐标变换数学方法计算得出棒束在流体中产生的总势,继而导出棒束的附连水质量。结果从公式中获得了棒束附连水质量与棒距边界距离、棒间距、棒数及棒各阶模态之间的相互关系。结论该公式经有限元仿真计算和试验验证是合理的,可作为棒束型反应堆等类似结构抗冲击设计的依据。

Objective To provide certain theoretical basis for shock resistance design of circular cylinders and similar structures.Methods Firstly,the velocity potential of a stick was calculated by the potential flow theory.Secondly,the total velocity potential of sticks was calculated by Taylor expansion and coordinate transformation and to finally get the added mass.Results The relationship between the added mass and the distance between the cylinder and the boundary,the distance between the cylinders,the number of cylinders and different modes was obtained from the formula.Conclusion This formula is verified by finite element simulation calculation and experiment.It can be used in the design of circular cylinders and similar shock resistance structures.