Reliability analysis of cutting tools using transformed inverse Gaussian process-based wear modelling considering parameter dependence基于参数相依性逆变换 Gauss 过程磨损建模的切削刀具可靠性分析
![]()
Das M, Naikan VNA, Panja SC, 2024. Reliability analysis of cutting tools using transformed inverse Gaussian process-based wear modelling considering parameter dependence. Probabilistic Engineering Mechanics, 78: 103698.DOI: 10.1016/j.probengmech.2024.103698
可靠性分析对确保性能需求至关重要。切削刀具在不同条件下工作用于制造不同产品。操作过程中，刀具会磨损而发生随机劣化。为避免刀具严重磨损造成不利后果，考虑阈值劣化水平作为失效标准，合理适当保证刀具可靠性至关重要。然而，加工过程中刀具劣化受到刀具当前磨损状态和工作条件的影响。考虑到这些，本研究提出了一类状态相关的逆变换 Gauss (transformed inverse Gaussian, TIG) 过程，结合工作条件的影响开发刀具磨损模型。为评估所提方法，按照 Taguchi 正交阵列试验设计不同工作条件下的刀具磨损试验。根据试验数据，采用 Bayes 方法估计所提模型参数。估计参数后，在不同工作条件下评估刀具可靠度。将估计的工具平均失效时间与验证试验观察到的失效时间进行对比，确保所提模型的有效性。所提方法可评估不同工作条件下状态相关劣化影响的工业产品可靠度。关键词: 工作条件, 高速加工, 劣化模型, 随机过程, Markov 链蒙特卡罗, 可靠性评估Reliability analysis is crucial for ensuring the performability of the desired function. The cutting tool performs the machining operation at varied conditions to manufacture diverse products. During operation, the tool degrades stochastically in the form of wear. To avoid the unfavourable consequences occurring from severe tool wear, appropriate formulation of the tool reliability, considering threshold degradation level as the failure criterion, is crucial. However, the degradation of the tool during machining is impacted by the current state of the tool wear and operating conditions. Considering these, the present study proposes a state-dependent transformed inverse Gaussian (TIG) process incorporating the effects of operating conditions to develop the tool wear model. In order to evaluate the proposed method, tool wear experiments are conducted at different operating conditions following the Taguchi orthogonal array experimental design. The experimental data are utilised to estimate the parameters of the developed model using the Bayesian approach. Following the parameter estimation, tool reliability is evaluated under varying operating conditions. The comparison of the estimated median time to failure of the tools with the failure time observed in the validation experiments ensures the effectiveness of the proposed model. The proposed approach has the potential to estimate the reliability of the industrial products subjected to state-dependent degradation under varied operating conditions.Keywords: Operating condition; High-speed machining; Degradation modelling; Stochastic process; Markov chain Monte Carlo; Reliability estimation.Fig. 1. Comparison of predicted reliability against actual reliability
Fig. 2. Experimental setup
Fig. 3. Degradation data of the cutting tools
Fig. 4. Reliability functions of the cutting tool
图 5: 试验观测失效时间与估计中位失效时间的对比Fig. 5. Comparison of the failure time observed in the experiments with the estimated median time to failure
作者信息 | Authors
Monojit Das, 通讯作者 (Corresp.)印度理工学院克勒格普尔分校 (Indian Institute of Technology Kharagpur) 乔杜里质量与可靠性学院Email: monojitdasjgec@kgpian.iitkgp.ac.in
印度理工学院克勒格普尔分校 (Indian Institute of Technology Kharagpur) 乔杜里质量与可靠性学院
印度贾达夫普尔大学 (Jadavpur University) 机械工程系
律梦泽 M.Z. Lyu | 编辑 (Ed)
P.D. Spanos | 审校 (Rev)
陈建兵 J.B. Chen | 审校 (Rev)
彭勇波 Y.B. Peng | 审校 (Rev)
