复合杆的固有频率和特征函数

IF 0.4 Q4 PHYSICS, PARTICLES & FIELDS Physics of Particles and Nuclei Letters Pub Date : 2024-04-09 DOI:10.1134/s1547477124020092

E. E. Perepelkin, A. E. Verkhoglyadov, I. V. Kushnir, M. V. Klimenko

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引用次数: 0

摘要

摘要研究了核反应堆燃料元件固有频率和特征函数的求解问题。以纵向材料密度片状恒定的棒为模型。明确推导出了频率方程，并通过数值和分析方法确定了前十二次谐波的固有频率。得到的特征函数分析表达式与使用 Galerkin 方法进行的计算和 ANSYS 程序中的数值计算结果十分吻合。这些结果将用于模拟 NEPTUN 脉冲反应堆的动力学，以检验其运行的稳定性。

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Natural Frequencies and Eigenfunctions of a Composite Rod

Abstract—

The problem of finding the natural frequencies and eigenfunctions of the fuel element of a nuclear reactor is considered. A rod with a piecewise constant material density in the longitudinal direction is used as a model. The frequency equation is explicitly derived, and the natural frequencies of the first twelve harmonics are determined numerically and analytically. Analytical expressions for eigenfunctions are obtained, which are in good agreement with calculations made using the Galerkin method and numerical calculations in the ANSYS program. The results will be used to simulate the dynamics of the NEPTUN pulsed reactor for examining the stability of its operation.

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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.