Int J Performability Eng ›› 2020, Vol. 16 ›› Issue (1): 98-106.doi: 10.23940/ijpe.20.01.p11.98106

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Reliability Analysis for CNC Gear Hobbing Machine with a New Hybrid Model of Dual Weibull Distribution

Shuai Yanga, Shilong Lib*(), Yu Wanga, and Jean-Carlo Macancelac   

  1. aNational Research Base of Intelligent Manufacturing Service, Chongqing Technology and Business University, Chongqing, 400067, China
    bDepartment of Mechanical Engineering, University of Connecticut, Storrs, Connecticut, 06269, USA
    cGIDTEC Research Group, Universidad Politécnica Salesiana, Cuenca, 010105, Ecuador;
  • Submitted on ; Revised on ; Accepted on
  • Contact: Shilong Li
  • Supported by:
    This work was funded by Program of Chongqing Municipal Education Commission (KJZH17123), Research Start-Up Funds of Chongqing Technology and Business University (1856018), Program of Chongqing Municipal Education Commission (KJQN201800830), The Natural Science Foundation of China (71801044), the Natural Science Foundation of Chongqing (cstc2018jcyjAX0436) and MOST Science and Technology Partnership Program (KY201802006).


The reliability of CNC gear hobbing machine is the basic factor for ensuring the quality, which is the most important factor that constitutes the market competitiveness of products. Therefore, a hybrid model of dual Weibull distribution was proposed to analyze the malfunction characteristics of CNC gear hobbing machine in this paper. By using the actual experimental data from working-sites, the parameters for hybrid model of dual Weibull distribution were estimated through Weibull Probability Paper and mathematic software. Comparisons were carried out between single Weibull distribution with dual parameters and the proposed method. The results show that the proposed method provide higher agreement with experimental data plots.

Key words: CNC gear hobbing machine, Weibull distribution, reliability, malfunction