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

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Abstract

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.

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Authors and Affiliations

  1. National Numerical Control System Engineering Research Center, Huazhong University of Science and Technology, Wuhan, 430074, China

    **aowei Tang, Rong Yan, Yanhong Gong, Yuting Li & Lanlan Jiang

  2. State Key Lab of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, 430074, China

    Fangyu Peng

Authors
  1. **aowei Tang
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  2. Fangyu Peng
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  3. Rong Yan
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  4. Yanhong Gong
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  5. Yuting Li
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  6. Lanlan Jiang
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Correspondence to Rong Yan.

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Tang, X., Peng, F., Yan, R. et al. Accurate and efficient prediction of milling stability with updated full-discretization method. Int J Adv Manuf Technol 88, 2357–2368 (2017). https://doi.org/10.1007/s00170-016-8923-7

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  • DOI: https://doi.org/10.1007/s00170-016-8923-7

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