TY - JOUR
T1 - Degradation reliability modeling based on an independent increment process with quadratic variance
AU - Wang, Zhihua
AU - Zhang, Yongbo
AU - Wu, Qiong
AU - Fu, Huimin
AU - Liu, Chengrui
AU - Krishnaswamy, Sridhar
N1 - Funding Information:
The authors are grateful to the anonymous reviewers and the editor for their critical and constructive comments on this manuscript. This study was co-supported by the National Natural Science Foundation of China (Grant no. 11202011 ), Fundamental Research Funds for the Central Universities (Grant no. YWK13HK11 ), Beijing Natural Science Foundation (Grant no. 3154034 ), and National Basic Research Program of China (973 Program) (Grant no. 2012CB720000 ).
Publisher Copyright:
© 2015 Elsevier Ltd. All rights reserved.
PY - 2016/3/1
Y1 - 2016/3/1
N2 - Degradation testing is an important technique for assessing life time information of complex systems and highly reliable products. Motivated by fatigue crack growth (FCG) data and our previous study, this paper develops a novel degradation modeling approach, in which degradation is represented by an independent increment process with linear mean and general quadratic variance functions of test time or transformed test time if necessary. Based on the constructed degradation model, closed-form expressions of failure time distribution (FTD) and its percentiles can be straightforwardly derived and calculated. A one-stage method is developed to estimate model parameters and FTD. Simulation studies are conducted to validate the proposed approach, and the results illustrate that the approach can provide reasonable estimates even for small sample size situations. Finally, the method is verified by the FCG data set given as the motivating example, and the results show that it can be considered as an effective degradation modeling approach compared with the multivariate normal model and graphic approach.
AB - Degradation testing is an important technique for assessing life time information of complex systems and highly reliable products. Motivated by fatigue crack growth (FCG) data and our previous study, this paper develops a novel degradation modeling approach, in which degradation is represented by an independent increment process with linear mean and general quadratic variance functions of test time or transformed test time if necessary. Based on the constructed degradation model, closed-form expressions of failure time distribution (FTD) and its percentiles can be straightforwardly derived and calculated. A one-stage method is developed to estimate model parameters and FTD. Simulation studies are conducted to validate the proposed approach, and the results illustrate that the approach can provide reasonable estimates even for small sample size situations. Finally, the method is verified by the FCG data set given as the motivating example, and the results show that it can be considered as an effective degradation modeling approach compared with the multivariate normal model and graphic approach.
KW - Degradation test
KW - Failure time distribution
KW - Independent increment process
KW - One-stage parameter estimation
KW - Quadratic variance function
KW - Reliability analysis
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U2 - 10.1016/j.ymssp.2015.08.021
DO - 10.1016/j.ymssp.2015.08.021
M3 - Article
AN - SCOPUS:84961134393
SN - 0888-3270
VL - 70-71
SP - 467
EP - 483
JO - Mechanical Systems and Signal Processing
JF - Mechanical Systems and Signal Processing
ER -