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Operation reliability evaluation of cutting tools based on singular value decomposition transform and support vector space

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  • Baojia Chen
  • Baoming Shen
  • Fajun Zhang
  • Wenrong Xiao
  • Fafa Chen
  • Hongliang Tian
  • Shu Chen

Abstract

The traditional reliability evaluation method based on large sample statistics is inefficient for a single or a small batch computer numerical control turning cutting tool due to the inadequate description of time, dynamic process, inaccurate model and individualization. To solve the problem, a new operation reliability evaluation method based on singular value decomposition transform and support vector space is proposed. In this new method, the singular value decomposition is used for the dimensionality reduction of high-dimensional feature data so as to reduce the computational complexity and the redundant components. The hypersphere space of the similar data is established based on the dimension reduction data. The relative distance between the sample points and the hypersphere is then calculated and used to describe the performance of the tool. The semi-normal function is introduced to define the mapping relationship of the relative distance and the operation reliability of the tool. Finally, two cutting tools in the experiment are taken as the research example to verify the effectiveness of the method. The result shows that this method can evaluate the operation reliability of the tool effectively and the singular value decomposition dimensionality reduction improves the accuracy of the evaluation. It provides a new theoretical and practical support for the reliability evaluation of small sample data.

Suggested Citation

  • Baojia Chen & Baoming Shen & Fajun Zhang & Wenrong Xiao & Fafa Chen & Hongliang Tian & Shu Chen, 2019. "Operation reliability evaluation of cutting tools based on singular value decomposition transform and support vector space," Journal of Risk and Reliability, , vol. 233(2), pages 175-185, April.
    • Handle: RePEc:sae:risrel:v:233:y:2019:i:2:p:175-185
    DOI: 10.1177/1748006X18766125
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    References listed on IDEAS

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    1. Peng, Weiwen & Li, Yan-Feng & Mi, Jinhua & Yu, Le & Huang, Hong-Zhong, 2016. "Reliability of complex systems under dynamic conditions: A Bayesian multivariate degradation perspective," Reliability Engineering and System Safety, Elsevier, vol. 153(C), pages 75-87.
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