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ORIGINAL ARTICLE
Non-linear Wiener process–based cutting tool remaining useful life
prediction considering measurement variability
Huibin Sun
1
&Junlin Pan
1
&Jiduo Zhang
1
&Dali Cao
1
Received: 8 May 2019 /Accepted: 30 March 2020
#Springer-Verlag London Ltd., part of Springer Nature 2020
Abstract
Remaining useful life prediction is essential for cutting tool utilization evaluation and replacement decision-making. However, it
is very difficult to build a mechanism model for the time-varying and non-linear cutting tool wear and life decreasing process.
Based on big samples, artificial intelligence–based models have weak interpretability and un-quantized uncertainty. In fact, the
cutting tool degradation is a stochastic process, and cutting tool remaining useful life is a random variable. Then, a non-linear
Wiener-based cutting tool wear and remaining useful life prediction model is proposed for a specific cutting tool. The probability
density function of remaining useful life is derived to quantize uncertainty. On the basis of Bayesian model, unknown parameters
are estimated and updated by using history data and real-time data, respectively. Measurement variability is also considered to
improve the accuracy and reliability. Experimental study verifies the approach’s effectiveness and accuracy. Detailed compari-
sons validate the approach’s advantages over existing models. By quantizing the uncertainty of cutting tool remaining useful life
prediction with confidence intervals, the model is meaningful for cutting tool selection and replacement decision-making.
Keywords Cutting tool .Remaining useful life prediction .Non-linear Wiener process .Measurement variability
1 Introduction
As important components in the machining system, cutting
tools always attract great attentions from both academia and
industry. Cutting tool wear affects machining quality, cost,
efficiency, and environmental cost. During the machining pro-
cess, cutting tool wear develops gradually. Worn cutting tools
may deteriorate surface integrity and produce unqualified
parts. However, too frequent cutting tool replacement in-
creases the machining cost with redundant production suspen-
sion. In order to make most use of every cutting tool accurate-
ly, cutting tool remaining useful life (RUL) prediction is es-
sential. A cutting tool’s RUL is defined as the time from the
current moment to its failure. Based on accurate cutting tool
RUL prediction, cutting tools could be used precisely by
avoiding overuse or underuse. Both poor machining quality
and high machining cost could be avoided to the maximum
extent with high machining efficiency.
However, RUL of a cutting tool is not directly accessible to
sensor measurements. Due to the influence of various factors
in the machining process, including cutting fluid, machine
tools, tool clamping length, and cutting speed, it decreases
non-linearly, individually, and dynamically. Considering the
complex coupling relationship among these factors, it is very
difficult to build a precise mechanism model for the cutting
tool wear process. Then, data-driven models are widely used
to predict cutting tool RUL. For example, machine learning–
based approaches fit the cutting tool wear curve well. But, big
samples are needed to obtain results with weak interpretability
and un-quantized uncertainty. Many researchers argued that
cutting tool wear was a stochastic process, and a cutting tool’s
RUL was a random variable. Then, the stochastic process
theory was believed to be suitable for cutting tool wear model-
ling and RUL prediction. However, the linear cutting tool
wear curve is not accurate enough. In order to improve the
reliability of cutting tool RUL prediction, variability in mea-
sured data should be considered.
Therefore, this work aims to improve the accuracy and
reliability of cutting tool RUL prediction. A non-linear
Wiener-based cutting tool wear and RUL prediction model
*Huibin Sun
sun_huibin@nwpu.edu.cn; 380885779@qq.com
1
Key Laboratory of High Performance Manufacturing for Aero
Engine, Ministry of Industry and Information Technology,
Northwestern Polytechnical University, Xi’an 710072, China
https://doi.org/10.1007/s00170-020-05264-3
The International Journal of Advanced Manufacturing Technology (2020) 107:4493–4502
/ Publishedonline: 28 2020
April
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