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Compilation method of CNC lathe cutting force spectrum based on kernel density estimation of G-SCE

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Abstract

The cutting force spectrum of the CNC lathe is the basic data for the reliability design, reliability test, and reliability evaluation of the CNC lathe and its components. Due to the complex and changeable turning conditions and different cutting processes, the cutting load presents multi-peak characteristics. At the same time, grouping the counted load cycles when parameter modeling will produce certain errors. As a result, the parameter distribution model cannot meet the modeling requirements. Thus, a compilation method based on kernel density estimation (KDE) of goodness-smoothness comprehensive evaluation (G-SCE) is proposed. The KDE is used to establish the dynamic cutting force distribution of the CNC lathe in which grouping the counted load cycles is not needed. For the bandwidth-determining methods, the rule of thumb method (ROT) and the least-squares cross-validation method (LCV) do not take into account the influence of different bandwidths on the goodness estimation and the smoothness of the estimated curve, and the G-CSE for KDE is proposed to determining the optimal bandwidth. It includes the estimation accuracy test method based on multiple goodness-of-fit tests and the smoothness test method based on the envelope curve, and the entropy method is used to comprehensively weights the estimated goodness index and the smoothness index to determine the optimal bandwidth. The results of the case analysis indicate that the method proposed can solve the problem of too large estimation error of parameter distribution for multimodal distribution. At the same time, it can better comprehensively evaluate the KDE under different bandwidths. In short, a new method of optimal bandwidth selection is proposed in the original method.

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All the data presented and/or analyzed in this study are available upon request to the corresponding author.

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Funding

This work was supported by the National Natural Science Foundation of China (51905209); Free Exploration Key Project of Natural Science Foundation of Jilin Province Science and Technology Development Plan, China (2020122332JC); Jilin Province Youth Scientific and Technological Talent Support Project(QT202114); and Science and Technology Research Project of Education Department of Jilin Province, China (Grant No. 42180).

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Authors and Affiliations

  1. Key Laboratory of CNC Equipment Reliability, Ministry of Education, Jilin University, Changchun, China

    Shengxu Wang, Jialong He, Guofa Li & Hao Huang

  2. School of Mechanical and Aerospace Engineering, Jilin University, Changchun, Jilin, 130022, China

    Shengxu Wang, Jialong He, Guofa Li & Hao Huang

  3. Office of Academic Affairs, Aviation University of Air Force, Changchun, 130000, China

    Qingbo Hao

Authors
  1. Shengxu Wang
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  2. Jialong He
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  4. Qingbo Hao
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  5. Hao Huang
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Contributions

Shengxu Wang: conceptualization, methodology, literature study and model validation, and writing, reviewing and editing. Guofa Li: methodology, investigation, writing, original draft, and visualization. Jialong He: supervision, investigation, writing, reviewing, and editing, and visualization. Qingbo Hao: reviewing and editing. Hao Huang: investigation and editing. All authors read and approved the final manuscript.

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Correspondence to Jialong He.

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Wang, S., He, J., Li, G. et al. Compilation method of CNC lathe cutting force spectrum based on kernel density estimation of G-SCE. Int J Adv Manuf Technol 124, 3713–3724 (2023). https://doi.org/10.1007/s00170-021-07541-1

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