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Global sensitivity analysis of a CNC machine tool: application of MDRM

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Abstract

Understanding the error propagation mechanism of a CNC machine tool is a prerequisite to improve machine tool kinematic accuracy by other techniques. This paper presents system reliability and global sensitivity analyses of a machine tool with the multiplicative dimensional reduction method (M-DRM). Reliability of the machine tool is defined as the probability that output error remains within a specified limit in entire target trajectory of tool cutter. This reliability problem is formulated as a series reliability problem that is solved using probability distribution of the maximal positioning error. The variance-based global sensitivity analysis is preformed to screen significant error components of the system kinematic error model. The proposed method is illustrated by a three-axis vertical milling machine tool for system reliability and global sensitivity analyses. Results are verified by Monte-Carlo simulation method. The procedure would be easily applied for probability-based kinematic analysis of machine tools based on other error models.

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Authors and Affiliations

  1. School of Mechanical Engineering & Automation, Northeastern University, Shenyang, LN, 110819, China

    Xufang Zhang & Yimin Zhang

  2. Department of Civil & Environmental Engineering, University of Waterloo, Waterloo, On, N2L 3G1, Canada

    Mahesh D. Pandey

Authors
  1. Xufang Zhang
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  2. Yimin Zhang
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  3. Mahesh D. Pandey
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Correspondence to Xufang Zhang.

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Zhang, X., Zhang, Y. & Pandey, M.D. Global sensitivity analysis of a CNC machine tool: application of MDRM. Int J Adv Manuf Technol 81, 159–169 (2015). https://doi.org/10.1007/s00170-015-7128-9

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  • DOI: https://doi.org/10.1007/s00170-015-7128-9

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