Accurate and efficient prediction of milling stability with updated full-discretization method

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• 作者：Xiaowei Tang ; Fangyu Peng ; Rong Yan…
• 关键词：Stability prediction ; Time ; delay term ; Second ; order ; State transition matrix
• 刊名：The International Journal of Advanced Manufacturing Technology
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：88
• 期：9-12
• 页码：2357-2368
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Industrial and Production Engineering; Media Management; Mechanical Engineering; Computer-Aided Engineering (CAD, CAE) and Design;
• 出版者：Springer London
• ISSN：1433-3015
• 卷排序：88

文摘

The study of the time domain method for milling stability prediction mainly focuses on the prediction accuracy and efficiency. The state item of the full-discretization formulations is usually approximated through the higher-order Lagrange polynomial interpolation for the higher prediction accuracy of milling stability. However, the time-delay term has not been considered. This paper proposes an updated full-discretization method for milling stability prediction based on the high-order interpolation of both the state item and the time-delay term and investigates the effect of the high-order interpolation of the time-delay term on accuracy of milling stability prediction. The state transition matrix on one time period is established directly to compensate the computational time expense of the high-order interpolation. By analyzing the convergence feature and lobes of benchmark examples, the high-order interpolation of both the state item and the time-delay term is proven to be more effective than only the higher-order interpolation of the state item, and the direct establishment of the state transition matrix can achieve the purpose of saving computational time.