Optimization Design of Step Stress Accelerated Degradation Test for Motorized Spindle Based on <i>D<sub>s</sub></i>-Optimality

In the accelerated degradation test (ADT) of motorized spindles, it is necessary to apply a variety of stresses to simulate real working conditions. However, the traditional accelerated test scheme optimization method does not consider the weight of various stresses in the test, resulting in the eva...

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Main Authors: Hongxun Zhao, Zhaojun Yang, Chuanhai Chen, Hailong Tian, Xiaoxu Li, Shizheng Li
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/11/9/3832
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spelling doaj-1d6f69cabf80426485a3fbebe9b628212021-04-23T23:04:38ZengMDPI AGApplied Sciences2076-34172021-04-01113832383210.3390/app11093832Optimization Design of Step Stress Accelerated Degradation Test for Motorized Spindle Based on <i>D<sub>s</sub></i>-OptimalityHongxun Zhao0Zhaojun Yang1Chuanhai Chen2Hailong Tian3Xiaoxu Li4Shizheng Li5Key Laboratory of CNC Equipment Reliability, Ministry of Education, Jilin University, Changchun 130025, ChinaKey Laboratory of CNC Equipment Reliability, Ministry of Education, Jilin University, Changchun 130025, ChinaKey Laboratory of CNC Equipment Reliability, Ministry of Education, Jilin University, Changchun 130025, ChinaKey Laboratory of CNC Equipment Reliability, Ministry of Education, Jilin University, Changchun 130025, ChinaSchool of Mechanical and Vehicle Engineering, Changchun University, Changchun 130025, ChinaKey Laboratory of CNC Equipment Reliability, Ministry of Education, Jilin University, Changchun 130025, ChinaIn the accelerated degradation test (ADT) of motorized spindles, it is necessary to apply a variety of stresses to simulate real working conditions. However, the traditional accelerated test scheme optimization method does not consider the weight of various stresses in the test, resulting in the evaluation accuracy of important stress parameters in the model being too low. In order to solve this problem, an optimal design method of the step stress accelerated degradation test (SSADT) scheme for motorized spindles is proposed based on <em>D<sub>s</sub></em>-optimality. Firstly, the fault tree analysis (FTA) method is used to analyze the collected fault data of motorized spindles and screen the main stress. Then, the accelerated degradation model is established by using drift Brownian motion. Based on the <em>D<sub>s</sub></em>-optimality, the optimization variables and constraints in the test are determined, and the optimization model is established with the objective of minimizing the estimated variance of the main stress parameters in the acceleration model; additionally, the optimization steps are given. Finally, an example is given to verify the effectiveness of the method. Sensitivity analysis of the optimization results shows that the method has good robustness.https://www.mdpi.com/2076-3417/11/9/3832motorized spindlestep stress accelerated degradation testtest analysis<i>D<sub>s</sub></i>-optimalityoptimization design
collection DOAJ
language English
format Article
sources DOAJ
author Hongxun Zhao
Zhaojun Yang
Chuanhai Chen
Hailong Tian
Xiaoxu Li
Shizheng Li
spellingShingle Hongxun Zhao
Zhaojun Yang
Chuanhai Chen
Hailong Tian
Xiaoxu Li
Shizheng Li
Optimization Design of Step Stress Accelerated Degradation Test for Motorized Spindle Based on <i>D<sub>s</sub></i>-Optimality
Applied Sciences
motorized spindle
step stress accelerated degradation test
test analysis
<i>D<sub>s</sub></i>-optimality
optimization design
author_facet Hongxun Zhao
Zhaojun Yang
Chuanhai Chen
Hailong Tian
Xiaoxu Li
Shizheng Li
author_sort Hongxun Zhao
title Optimization Design of Step Stress Accelerated Degradation Test for Motorized Spindle Based on <i>D<sub>s</sub></i>-Optimality
title_short Optimization Design of Step Stress Accelerated Degradation Test for Motorized Spindle Based on <i>D<sub>s</sub></i>-Optimality
title_full Optimization Design of Step Stress Accelerated Degradation Test for Motorized Spindle Based on <i>D<sub>s</sub></i>-Optimality
title_fullStr Optimization Design of Step Stress Accelerated Degradation Test for Motorized Spindle Based on <i>D<sub>s</sub></i>-Optimality
title_full_unstemmed Optimization Design of Step Stress Accelerated Degradation Test for Motorized Spindle Based on <i>D<sub>s</sub></i>-Optimality
title_sort optimization design of step stress accelerated degradation test for motorized spindle based on <i>d<sub>s</sub></i>-optimality
publisher MDPI AG
series Applied Sciences
issn 2076-3417
publishDate 2021-04-01
description In the accelerated degradation test (ADT) of motorized spindles, it is necessary to apply a variety of stresses to simulate real working conditions. However, the traditional accelerated test scheme optimization method does not consider the weight of various stresses in the test, resulting in the evaluation accuracy of important stress parameters in the model being too low. In order to solve this problem, an optimal design method of the step stress accelerated degradation test (SSADT) scheme for motorized spindles is proposed based on <em>D<sub>s</sub></em>-optimality. Firstly, the fault tree analysis (FTA) method is used to analyze the collected fault data of motorized spindles and screen the main stress. Then, the accelerated degradation model is established by using drift Brownian motion. Based on the <em>D<sub>s</sub></em>-optimality, the optimization variables and constraints in the test are determined, and the optimization model is established with the objective of minimizing the estimated variance of the main stress parameters in the acceleration model; additionally, the optimization steps are given. Finally, an example is given to verify the effectiveness of the method. Sensitivity analysis of the optimization results shows that the method has good robustness.
topic motorized spindle
step stress accelerated degradation test
test analysis
<i>D<sub>s</sub></i>-optimality
optimization design
url https://www.mdpi.com/2076-3417/11/9/3832
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AT zhaojunyang optimizationdesignofstepstressaccelerateddegradationtestformotorizedspindlebasedonidsubssubioptimality
AT chuanhaichen optimizationdesignofstepstressaccelerateddegradationtestformotorizedspindlebasedonidsubssubioptimality
AT hailongtian optimizationdesignofstepstressaccelerateddegradationtestformotorizedspindlebasedonidsubssubioptimality
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AT shizhengli optimizationdesignofstepstressaccelerateddegradationtestformotorizedspindlebasedonidsubssubioptimality
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