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Geometric Error Modeling and Sensitivity Analysis of CNC Internal Circular Compound Grinding Machine

Received: 21 September 2020    Accepted: 5 October 2020    Published: 27 October 2020
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Abstract

In order to improve the machining accuracy and efficiency of the hole and sleeve parts, it is necessary to improve the overall grinding accuracy of the CNC (Computer Numerical Control) internal cylindrical compound grinding machine more accurately and efficiently. First of all, it is necessary to clarify the degree of influence of each error parameter on the grinding accuracy, and compensate each error according to the different degree of influence. In this paper, modeling calculation analysis is carried out for a certain type of CNC internal cylindrical compound grinding machine. Firstly, based on the theory of multi-body system dynamics, the topological structure of the CNC internal cylindrical compound grinder is established. According to the topological structure, the position, motion matrix and error matrix of the moving parts of the grinder are written. After data processing, the numerical control internal cylindrical compound grinder is calculated. Use this model to derivate each error parameter to obtain the sensitivity expression of each error parameter. After the actual structure parameters of the grinder are brought into the expression, the sensitivity coefficient of each error parameter can be determined by normalization treatment. The key error parameter with larger sensitivity coefficient is the key error parameter. Finally, several error parameters which have the greatest impact on the overall grinding accuracy of the grinder are obtained. This method provides the basis for the improvement of the grinding accuracy of the subsequent grinder, and creates conditions for the improvement of the machining accuracy of sleeve parts.

Published in International Journal of Mechanical Engineering and Applications (Volume 8, Issue 5)
DOI 10.11648/j.ijmea.20200805.12
Page(s) 118-124
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Multi-body Theory, Geometric Error, Sensitivity Coefficient, Accuracy Improvement

References
[1] Luo Liping, Jing Yuhai. Fundamentals of mechanical manufacturing, Vol. 2 [M]. Tsinghua University Press, 2004.
[2] Saltelli A, Chan K, MarianSeott E. SensitivityAnalysis [M]. NewYork: John WileY & Sons, Ltd, 2000. I. S. Jacobs and C. P. Bean, “Fine particles, thin films and exchange anisotropy,” in Magnetism, vol. III, G. T. Rado and H. Suhl, Eds. New York: Academic, 1963, pp. 271–350.
[3] Hamby D M. A review of sensitivity analysis techniques [R]. Westinghouse Savannah River Co., Aiken, SC (United States), 1993.
[4] Borgonovo E. Sensitivity Analysis [M]. Springer, Cham, Switzerland, 2017.
[5] Wu Jian, Gu Chengjie, Du Zhengchun, et al. Error identification analysis of key components of vertical machining center [J]. Mechanical design and research, 2018, 34 (4): 81-84.
[6] K. Fan, H. Wang, J. Zhao, T. Chang, Sensitivity analysis of the 3-PRS parallel kinematic spindle platform of a serial-parallel machine tool, Int. J. Mach. Tools Manuf 43 (2003) 1561–1569.
[7] Zhao Yu, Li Tiemin, Tang Xiaoqiang, Geometric Error modeling of machine tools based on screw theory [J]. Procedia Engineering. 2011 (24): 845-849. Kass, R. E. and A. E. Raftery (1995). Bayes Factors. Journal of the American Statistical Association 90, 773–794.
[8] Yang Chengxu, Zheng Yu, Xu Zhoulong. Integrated spatial error modeling of four axis motion platform based on multi-body system theory [J]. Modern manufacturing engineering, 2009 (4): 01-04.
[9] Andreas Pott, Andrés Kecskeméthy, Manfred Hiller. A simplified force-based method for the linearization and sensitivity analysis of complex manipulation systems [J]. 42 (11): 1445-1461.
[10] Xiao longfan, Du Qun GUI, Wu Lei, et al. Geometric error sensitivity identification of machine tools based on linear response surface method [J]. Modular machine tool and automatic machining technology, 2018 (4): 97-101.
[11] Kang Yueran, Fu Yiyuan, Liu Pengjun, et al. Identification of key error sources of three-axis turntable based on sensitivity analysis [J]. Modular machine tool and automatic machining technology, 2019 (04): 49-52.
[12] LI J, XIE F G, LIU X J. Geometric error modeling and sensitivity analysis of a five-axis machine tool [J]. International Journal of Advanced Manufacturing Technology, 2015, 7 (5): 1.
[13] Fan J, Tang Y, Chen D, et al. A geometric error tracing method based on the Monte Carlo theory of the five-axis gantry machining center [J]. Advances in Mechanical Engineering, 2017, 9 (7): 1687814017707648-.
[14] Xi Chunjiang. Looking at the development trend of international CNC compound internal and external grinder from cimt2019 [J]. World manufacturing technology and equipment market, 2019 (04): 83-85.
[15] Mahbubur Rahman, Jouko Heikkala, Kauko Lappalainen. Modeling, measurement and error compensation of multi-axis machine tools. Part I: theory [J]. International Journal of Machine Tools & Manufacture, 2000, 40 (10): 1535-1546. 546.
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  • APA Style

    Jinwei Fan, Qiang Liu, Weihua Li, Liangliang Xue, Chenbao Li. (2020). Geometric Error Modeling and Sensitivity Analysis of CNC Internal Circular Compound Grinding Machine. International Journal of Mechanical Engineering and Applications, 8(5), 118-124. https://doi.org/10.11648/j.ijmea.20200805.12

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    ACS Style

    Jinwei Fan; Qiang Liu; Weihua Li; Liangliang Xue; Chenbao Li. Geometric Error Modeling and Sensitivity Analysis of CNC Internal Circular Compound Grinding Machine. Int. J. Mech. Eng. Appl. 2020, 8(5), 118-124. doi: 10.11648/j.ijmea.20200805.12

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    AMA Style

    Jinwei Fan, Qiang Liu, Weihua Li, Liangliang Xue, Chenbao Li. Geometric Error Modeling and Sensitivity Analysis of CNC Internal Circular Compound Grinding Machine. Int J Mech Eng Appl. 2020;8(5):118-124. doi: 10.11648/j.ijmea.20200805.12

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  • @article{10.11648/j.ijmea.20200805.12,
      author = {Jinwei Fan and Qiang Liu and Weihua Li and Liangliang Xue and Chenbao Li},
      title = {Geometric Error Modeling and Sensitivity Analysis of CNC Internal Circular Compound Grinding Machine},
      journal = {International Journal of Mechanical Engineering and Applications},
      volume = {8},
      number = {5},
      pages = {118-124},
      doi = {10.11648/j.ijmea.20200805.12},
      url = {https://doi.org/10.11648/j.ijmea.20200805.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmea.20200805.12},
      abstract = {In order to improve the machining accuracy and efficiency of the hole and sleeve parts, it is necessary to improve the overall grinding accuracy of the CNC (Computer Numerical Control) internal cylindrical compound grinding machine more accurately and efficiently. First of all, it is necessary to clarify the degree of influence of each error parameter on the grinding accuracy, and compensate each error according to the different degree of influence. In this paper, modeling calculation analysis is carried out for a certain type of CNC internal cylindrical compound grinding machine. Firstly, based on the theory of multi-body system dynamics, the topological structure of the CNC internal cylindrical compound grinder is established. According to the topological structure, the position, motion matrix and error matrix of the moving parts of the grinder are written. After data processing, the numerical control internal cylindrical compound grinder is calculated. Use this model to derivate each error parameter to obtain the sensitivity expression of each error parameter. After the actual structure parameters of the grinder are brought into the expression, the sensitivity coefficient of each error parameter can be determined by normalization treatment. The key error parameter with larger sensitivity coefficient is the key error parameter. Finally, several error parameters which have the greatest impact on the overall grinding accuracy of the grinder are obtained. This method provides the basis for the improvement of the grinding accuracy of the subsequent grinder, and creates conditions for the improvement of the machining accuracy of sleeve parts.},
     year = {2020}
    }
    

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  • TY  - JOUR
    T1  - Geometric Error Modeling and Sensitivity Analysis of CNC Internal Circular Compound Grinding Machine
    AU  - Jinwei Fan
    AU  - Qiang Liu
    AU  - Weihua Li
    AU  - Liangliang Xue
    AU  - Chenbao Li
    Y1  - 2020/10/27
    PY  - 2020
    N1  - https://doi.org/10.11648/j.ijmea.20200805.12
    DO  - 10.11648/j.ijmea.20200805.12
    T2  - International Journal of Mechanical Engineering and Applications
    JF  - International Journal of Mechanical Engineering and Applications
    JO  - International Journal of Mechanical Engineering and Applications
    SP  - 118
    EP  - 124
    PB  - Science Publishing Group
    SN  - 2330-0248
    UR  - https://doi.org/10.11648/j.ijmea.20200805.12
    AB  - In order to improve the machining accuracy and efficiency of the hole and sleeve parts, it is necessary to improve the overall grinding accuracy of the CNC (Computer Numerical Control) internal cylindrical compound grinding machine more accurately and efficiently. First of all, it is necessary to clarify the degree of influence of each error parameter on the grinding accuracy, and compensate each error according to the different degree of influence. In this paper, modeling calculation analysis is carried out for a certain type of CNC internal cylindrical compound grinding machine. Firstly, based on the theory of multi-body system dynamics, the topological structure of the CNC internal cylindrical compound grinder is established. According to the topological structure, the position, motion matrix and error matrix of the moving parts of the grinder are written. After data processing, the numerical control internal cylindrical compound grinder is calculated. Use this model to derivate each error parameter to obtain the sensitivity expression of each error parameter. After the actual structure parameters of the grinder are brought into the expression, the sensitivity coefficient of each error parameter can be determined by normalization treatment. The key error parameter with larger sensitivity coefficient is the key error parameter. Finally, several error parameters which have the greatest impact on the overall grinding accuracy of the grinder are obtained. This method provides the basis for the improvement of the grinding accuracy of the subsequent grinder, and creates conditions for the improvement of the machining accuracy of sleeve parts.
    VL  - 8
    IS  - 5
    ER  - 

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Author Information
  • School of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing, China

  • School of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing, China

  • Machinery Department, Beijing Second Machine Tool Factory Co. Ltd, Beijing, China

  • School of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing, China

  • School of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing, China

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