伯努利-欧拉梁的周期和非周期性结构的动态稳定性

IF 0.7 4区材料科学 Q4 METALLURGY & METALLURGICAL ENGINEERING

Archives of Metallurgy and Materials Pub Date : 2024-04-11 DOI:10.24425/amm.2024.147819

J. Garus, J. Petru, W. Sochacki, S. Garus

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引用次数: 0

摘要

研究分析了伯努利-欧拉四元素梁的周期性和非周期性刚度分布对前两个特征频率和系统动态稳定性的影响。研究还分析了增加分析元素截面比的影响。结果发现在特征频率和动态稳定性方面存在显著差异。利用变分汉密尔顿原理推导出了运动方程，在此基础上确定了特征频率值，并将其转换为马修方程形式，从而确定了所分析结构的动态稳定性。

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Dynamic Stability of the Periodic and Aperiodic Structures of the Bernoulli-Euler Beams

The study analyzed the influence of periodic and aperiodic stiffness distribution for the four-element Bernoulli-Euler beam on the first two eigenfrequencies and the dynamic stability of the system. The influence of increasing the ratio of cross-sections of the analyzed elements was also analyzed. Significant differences were found in eigenfrequencies and dynamic stability. Using the variational Hamilton principle, the equation of motion was derived, on the basis of which the values of the eigenfrequencies were determined, and the transformation into the form of the Mathieu equation made it possible to determine the dynamic stability for the analyzed structures.

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来源期刊

Archives of Metallurgy and Materials 工程技术-冶金工程

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

4.5 months

期刊介绍： The Archives of Metallurgy and Materials is covered in the following Institute for Scientific Information products: SciSearch (the Science Citation Index - Expanded), Research Alert, Materials Science Citation Index, and Current Contents / Engineering, Computing and Technology. Articles published in the Archives of Metallurgy and Materials are also indexed or abstracted by Cambridge Scientific Abstracts.