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固有函数系的完全性
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作者 高导昌 《佛山科学技术学院学报(自然科学版)》 CAS 1999年第2期69-72,共4页
在应用Sturm-Liouvile理论的展开定理时,固有函数系是完全的,不能缺少某一固有函数.在应用分离变量法解某些定解问题时。
关键词 Sturm-Liouvile理论 展开定理 固有函数系 完全性 广义Fourier级数
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On-line chatter detection using servo motor current signal in turning 被引量:17
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作者 LIU HongQil CHEN QmgHa +3 位作者 LI Bin MAO XinYong MAO KuanMin PENG FangYu 《Science China(Technological Sciences)》 SCIE EI CAS 2011年第12期3119-3129,共11页
Chatter often poses limiting factors on the achievable productivity and is very harmful to machining processes. In order to avoid effectively the harm of cutting chatter,a method of cutting state monitoring based on f... Chatter often poses limiting factors on the achievable productivity and is very harmful to machining processes. In order to avoid effectively the harm of cutting chatter,a method of cutting state monitoring based on feed motor current signal is proposed for chatter identification before it has been fully developed. A new data analysis technique,the empirical mode decomposition(EMD),is used to decompose motor current signal into many intrinsic mode functions(IMF) . Some IMF's energy and kurtosis regularly change during the development of the chatter. These IMFs can reflect subtle mutations in current signal. Therefore,the energy index and kurtosis index are used for chatter detection based on those IMFs. Acceleration signal of tool as reference is used to compare with the results from current signal. A support vector machine(SVM) is designed for pattern classification based on the feature vector constituted by energy index and kurtosis index. The intelligent chatter detection system composed of the feature extraction and the SVM has an accuracy rate of above 95% for the identification of cutting state after being trained by experimental data. The results show that it is feasible to monitor and predict the emergence of chatter behavior in machining by using motor current signal. 展开更多
关键词 chatter detection current signal empirical mode decomposition (EMD) support vector machine (SVM)
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