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基于香农熵和雷尼熵的特征提取与评估用于微铣削中的颤振检测

Extraction and Assessment of Features Using Shannon Entropy and Rényi Entropy for Chatter Detection in Micro Milling.

作者信息

Zheng Zehui, Jing Xiubing, Song Bowen, Song Xiaofei, Chen Yun, Li Huaizhong

机构信息

Key Laboratory of Equipment Design and Manufacturing Technology, Tianjin University, Tianjin 300072, China.

Pen-Tung Sah Institute of Micro-Nano Science and Technology, Xiamen University, Xiamen 361102, China.

出版信息

Micromachines (Basel). 2025 Jan 30;16(2):161. doi: 10.3390/mi16020161.

Abstract

Chatter is a common phenomenon in micromachining processes that adversely affects machining quality, reduces tool life, and generates excessive noise that contributes to environmental pollution. Therefore, the timely detection of chatter is crucial for sustainable production. This paper presents an investigation on the extraction of two types of features, i.e., probability-related and entropy-related, using Shannon entropy and Rényi entropy algorithms, respectively, for chatter detection in micro milling. First, four chatter features were examined using actual machining tests under stable, weak-chatter, and severe-chatter conditions. Second, the proposed chatter features were systematically assessed by combining the characteristic change rates, threshold intervals, and computation times. The results demonstrated that the proposed features can effectively detect the occurrence of chatters at various severity levels. It was found that the probability-related features exhibit better sensitivity compared to entropy-related features, and the features extracted from Shannon entropy algorithm are more sensitive than the Rényi entropy algorithm.

摘要

颤振是微加工过程中的常见现象,会对加工质量产生不利影响,缩短刀具寿命,并产生过多噪音,进而造成环境污染。因此,及时检测颤振对于可持续生产至关重要。本文分别使用香农熵和雷尼熵算法对两种类型的特征(即概率相关特征和熵相关特征)进行提取研究,以用于微铣削加工中的颤振检测。首先,在稳定、弱颤振和强颤振条件下通过实际加工试验研究了四种颤振特征。其次,通过结合特征变化率、阈值区间和计算时间对所提出的颤振特征进行了系统评估。结果表明,所提出的特征能够有效检测不同严重程度的颤振的发生。研究发现,概率相关特征比熵相关特征表现出更好的灵敏度,并且从香农熵算法提取的特征比雷尼熵算法更敏感。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9ca4/11857645/a2b952280741/micromachines-16-00161-g001.jpg

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