Milling Stability Prediction: A New Approach Based on a Composited Newton–Cotes Formula
Based on a composited Newton–Cotes formula, this paper proposes a numerical method to predict milling stability considering regenerative chatter and focusing on rate and prediction accuracy. First, the dynamic model of milling motion is expressed as state-space equations considering regenerative cha...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-06-01
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| Series: | Micromachines |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2072-666X/14/7/1304 |
| _version_ | 1827732401204232192 |
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| author | Junqiang Zheng Pengfei Ren Chaofeng Zhou Xu Du |
| author_facet | Junqiang Zheng Pengfei Ren Chaofeng Zhou Xu Du |
| author_sort | Junqiang Zheng |
| collection | DOAJ |
| description | Based on a composited Newton–Cotes formula, this paper proposes a numerical method to predict milling stability considering regenerative chatter and focusing on rate and prediction accuracy. First, the dynamic model of milling motion is expressed as state-space equations considering regenerative chatter, with the tooth passing period divided into a set of time intervals. Second, a composited Newton–Cotes formula is introduced to calculate the transition function map for each time interval. Third, the state transition matrix is constructed based on the above-mentioned transition function, and the prediction stability boundary is determined by the Floquet theory. Finally, simulation analysis and experimental verification are conducted to verify the effectiveness of the proposed method. The simulation results demonstrate that, for the milling model with a single degree of freedom (DOF), the convergence rate and prediction accuracy of the proposed method are higher than those of the comparison method. The experimental results demonstrate that, for the milling model with two DOFs, the machining parameters below the prediction stability boundary can avoid the chatter as much as possible, ensuring the machined surface quality. |
| first_indexed | 2024-03-11T00:49:59Z |
| format | Article |
| id | doaj.art-89787f1253eb492a936d1f48ccd51bd0 |
| institution | Directory Open Access Journal |
| issn | 2072-666X |
| language | English |
| last_indexed | 2024-03-11T00:49:59Z |
| publishDate | 2023-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Micromachines |
| spelling | doaj.art-89787f1253eb492a936d1f48ccd51bd02023-11-18T20:31:32ZengMDPI AGMicromachines2072-666X2023-06-01147130410.3390/mi14071304Milling Stability Prediction: A New Approach Based on a Composited Newton–Cotes FormulaJunqiang Zheng0Pengfei Ren1Chaofeng Zhou2Xu Du3School of Mechanical Engineering, Hefei University of Technology, Hefei 230009, ChinaSchool of Mechanical Engineering, Zhejiang Sci-Tech University, Hangzhou 310018, ChinaSchool of Mechanical Engineering, Zhejiang Sci-Tech University, Hangzhou 310018, ChinaSchool of Mechanical Engineering, Zhejiang Sci-Tech University, Hangzhou 310018, ChinaBased on a composited Newton–Cotes formula, this paper proposes a numerical method to predict milling stability considering regenerative chatter and focusing on rate and prediction accuracy. First, the dynamic model of milling motion is expressed as state-space equations considering regenerative chatter, with the tooth passing period divided into a set of time intervals. Second, a composited Newton–Cotes formula is introduced to calculate the transition function map for each time interval. Third, the state transition matrix is constructed based on the above-mentioned transition function, and the prediction stability boundary is determined by the Floquet theory. Finally, simulation analysis and experimental verification are conducted to verify the effectiveness of the proposed method. The simulation results demonstrate that, for the milling model with a single degree of freedom (DOF), the convergence rate and prediction accuracy of the proposed method are higher than those of the comparison method. The experimental results demonstrate that, for the milling model with two DOFs, the machining parameters below the prediction stability boundary can avoid the chatter as much as possible, ensuring the machined surface quality.https://www.mdpi.com/2072-666X/14/7/1304dynamic modelregenerative chattermilling stability predictioncomposite cotes formulaFloquet theory |
| spellingShingle | Junqiang Zheng Pengfei Ren Chaofeng Zhou Xu Du Milling Stability Prediction: A New Approach Based on a Composited Newton–Cotes Formula Micromachines dynamic model regenerative chatter milling stability prediction composite cotes formula Floquet theory |
| title | Milling Stability Prediction: A New Approach Based on a Composited Newton–Cotes Formula |
| title_full | Milling Stability Prediction: A New Approach Based on a Composited Newton–Cotes Formula |
| title_fullStr | Milling Stability Prediction: A New Approach Based on a Composited Newton–Cotes Formula |
| title_full_unstemmed | Milling Stability Prediction: A New Approach Based on a Composited Newton–Cotes Formula |
| title_short | Milling Stability Prediction: A New Approach Based on a Composited Newton–Cotes Formula |
| title_sort | milling stability prediction a new approach based on a composited newton cotes formula |
| topic | dynamic model regenerative chatter milling stability prediction composite cotes formula Floquet theory |
| url | https://www.mdpi.com/2072-666X/14/7/1304 |
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