Characterization of Fuel Rods Supported by Dimple-Less Spacer Grids and Subjected to Nonlinear Vibrations

IF 3.6 Q1 ENGINEERING, MECHANICAL
国际机械系统动力学学报(英文) Pub Date : 2026-04-06 Epub Date: 2026-01-14 DOI:10.1002/msd2.70058
Giovanni Ferrari, Brian Painter, Kostas Karazis, Marco Amabili
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Abstract

An experimental campaign was undertaken to demonstrate the applicability of the Bouc–Wen hysteretic model to describe the hysteretic system of the recent Framatome dimple-less spacer grid design for Pressurized Water Reactors. The experimental setup subjected a reduced-length fuel rod, supported at both ends by dimple-less grids, to forced sinusoidal excitation while immersed in water. The resulting frequency–amplitude curves, taken at different excitation amplitudes, exhibited an initial softening and then hardening behavior. This behavior is consistent with recent literature on reduced-length rods supported by traditional grids that feature both springs and dimples. Additionally, there was a nonlinear damping increase observed around the fundamental resonance frequency. To simulate the response to forced vibrations, a numerical model based on a single-degree-of-freedom nonlinear equation was employed. The model includes a Bouc–Wen stiffness term, quadratic and cubic stiffness terms, and an equivalent viscous damping which is a function of the vibration amplitude. Notably, when dimple-less grids were used, the resulting fuel rod vibrations exhibited greater damping compared with traditional grids. These findings contribute to our understanding of fuel rod behavior and provide insights for grid design. The interactions between fuel rods and spacer grids were also investigated using an experimental setup capable of measuring the force exchange and sliding relative motion at the interface of the fuel rods and spacer grids. The main conclusions from these tests indicate that the maximum amplitude of force and slippage at the boundary is directly related to the maximum amplitude of excitation and displacement experienced by rods. When dimple-less grids are used, lower amplitudes of interaction and sliding are reached. This reduction may be beneficial in mitigating fretting-related issues. Furthermore, in the time domain, evidence of detrimental phenomena—such as impacts and losses of contact—is also weaker with the novel Framatome dimple-less grid design.

Abstract Image

Abstract Image

非线性振动下无凹痕隔板支撑燃料棒的特性研究
为了证明Bouc-Wen滞回模型在描述压水堆最新的Framatome无窝间隔栅设计滞回系统中的适用性,进行了一项实验活动。实验装置将一根两端由无韧窝网格支撑的减长燃料棒浸入水中时施加强制正弦激励。在不同激励幅值下得到的频率-幅值曲线表现出先软化后硬化的特征。这种行为与最近关于由传统网格支持的减长杆的文献一致,该网格具有弹簧和凹痕。此外,在基共振频率附近观察到非线性阻尼增加。为了模拟受迫振动的响应,采用了基于单自由度非线性方程的数值模型。该模型包括Bouc-Wen刚度项、二次刚度项和三次刚度项,以及与振动幅值有关的等效粘性阻尼。值得注意的是,当使用无凹窝网格时,与传统网格相比,产生的燃料棒振动表现出更大的阻尼。这些发现有助于我们对燃料棒行为的理解,并为网格设计提供见解。利用实验装置,研究了燃料棒和间隔栅之间的相互作用,该装置能够测量燃料棒和间隔栅界面上的力交换和滑动相对运动。这些试验的主要结论表明,边界处的最大力和滑移幅值与杆所经历的最大激励和位移幅值直接相关。当使用无窝网格时,可以达到较低的相互作用和滑动幅度。这种减少可能有利于减轻与烦躁有关的问题。此外,在时域内,新的Framatome无凹窝网格设计也减弱了有害现象的证据,例如冲击和接触损失。
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