Motion Equation of Temperature Induced Plane Transversal Vibrations of a Rod: Numerical–Analytical Solution

IF 0.4 Q4 PHYSICS, PARTICLES & FIELDS Physics of Particles and Nuclei Letters Pub Date : 2023-08-08 DOI:10.1134/S1547477123040660

A. E. Verhoglyadov

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Abstract—

In the process of designing the new NEPTUN pulsed reactor, the phenomenon of dynamic bending was discovered; it is a feature of the dynamics of pulsed reactors that does not appear in reactors of other types; however, it plays a significant role in evaluating the stability of reactor operation. Movements of fuel elements (fuel rods) under the influence of periodically changing temperature can lead to significant changes in the reactivity and fluctuations of the reactor power. To accurately simulate the operation of the reactor, it is necessary to know the shape of the fuel element at the time of the next power pulse. Since numerical methods for solving this dynamic problem of thermoelasticity require a computation time that is too large, an analytical method was applied. In this study, the first results of the numerical–analytical solution of the equation of induced oscillations of a fuel rod, as well as the prospects for using the method in studying the dynamics of the NEPTUN reactor, are presented.

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温度诱导杆平面横向振动的运动方程:数值解析解

在设计新型NEPTUN脉冲堆的过程中，发现了动态弯曲现象;这是脉冲反应堆的动力学特征，在其他类型的反应堆中不会出现;然而，它对评价反应堆运行的稳定性起着重要的作用。在周期性温度变化的影响下，燃料元件(燃料棒)的运动可导致反应性的显著变化和反应堆功率的波动。为了准确地模拟反应堆的运行，有必要知道下一个功率脉冲时燃料元件的形状。由于数值方法求解这一热弹性动力学问题的计算时间太长，因此采用了解析方法。本文给出了燃料棒诱导振荡方程的数值解析解的初步结果，并对该方法在NEPTUN反应堆动力学研究中的应用前景进行了展望。

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来源期刊

Physics of Particles and Nuclei Letters PHYSICS, PARTICLES & FIELDS-

CiteScore

0.80

自引率

20.00%

发文量

108

期刊介绍： The journal Physics of Particles and Nuclei Letters, brief name Particles and Nuclei Letters, publishes the articles with results of the original theoretical, experimental, scientific-technical, methodological and applied research. Subject matter of articles covers: theoretical physics, elementary particle physics, relativistic nuclear physics, nuclear physics and related problems in other branches of physics, neutron physics, condensed matter physics, physics and engineering at low temperatures, physics and engineering of accelerators, physical experimental instruments and methods, physical computation experiments, applied research in these branches of physics and radiology, ecology and nuclear medicine.