Time-Variant Reliability Analysis Method for Uncertain Motion Mechanisms Based on Stochastic Process Discretization
The reliability of a motion mechanism is affected by corrosion, wear, aging and other components’ performance degradations with the extension of service time. This paper tackles this problem by proposing a time-varying reliability analysis method for uncertain motion mechanisms. First, a...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2022-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9718274/ |
| _version_ | 1818201079940120576 |
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| author | Qishui Yao Quan Zhang Jiachang Tang Xiaopeng Wang Meijuan Hu |
| author_facet | Qishui Yao Quan Zhang Jiachang Tang Xiaopeng Wang Meijuan Hu |
| author_sort | Qishui Yao |
| collection | DOAJ |
| description | The reliability of a motion mechanism is affected by corrosion, wear, aging and other components’ performance degradations with the extension of service time. This paper tackles this problem by proposing a time-varying reliability analysis method for uncertain motion mechanisms. First, a model of motion mechanism error is constructed by assessing the difference between actual and expected motion. A time-varying reliability analysis method for a motion mechanism is proposed. The time-varying performance function is discretized into several static performance functions, which are further approximated with several normal variables. Then, the correlation coefficient matrix and probability density function of these normal variables are calculated, and the time-varying reliability of a motion mechanism is obtained via high-dimensional Gaussian integration. The study demonstrates that the proposed method successfully transforms the time-varying reliability problem into several time-invariant reliability problems for analysis, and handles the time-varying reliability problem of a nonlinear motion mechanism involving random variables and stochastic processes, and significantly increases the computational efficiency. Finally, the proposed method’s effectiveness is verified by two numerical examples and one practical engineering problem. |
| first_indexed | 2024-12-12T02:47:51Z |
| format | Article |
| id | doaj.art-9993414f4ab64bd6b2b3d2fa6ebbfa49 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-12T02:47:51Z |
| publishDate | 2022-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-9993414f4ab64bd6b2b3d2fa6ebbfa492022-12-22T00:40:58ZengIEEEIEEE Access2169-35362022-01-0110490404904910.1109/ACCESS.2022.31535249718274Time-Variant Reliability Analysis Method for Uncertain Motion Mechanisms Based on Stochastic Process DiscretizationQishui Yao0https://orcid.org/0000-0002-3576-6933Quan Zhang1https://orcid.org/0000-0002-6920-5376Jiachang Tang2https://orcid.org/0000-0001-8074-2597Xiaopeng Wang3https://orcid.org/0000-0003-1848-3015Meijuan Hu4https://orcid.org/0000-0002-0039-1318School of Mechanical Engineering, Hunan University of Technology, Zhuzhou, ChinaSchool of Mechanical Engineering, Hunan University of Technology, Zhuzhou, ChinaSchool of Mechanical Engineering, Hunan University of Technology, Zhuzhou, ChinaChina Academy of Launch Vehicle Technology, Beijing, ChinaSchool of Mechanical Engineering, Hunan University of Technology, Zhuzhou, ChinaThe reliability of a motion mechanism is affected by corrosion, wear, aging and other components’ performance degradations with the extension of service time. This paper tackles this problem by proposing a time-varying reliability analysis method for uncertain motion mechanisms. First, a model of motion mechanism error is constructed by assessing the difference between actual and expected motion. A time-varying reliability analysis method for a motion mechanism is proposed. The time-varying performance function is discretized into several static performance functions, which are further approximated with several normal variables. Then, the correlation coefficient matrix and probability density function of these normal variables are calculated, and the time-varying reliability of a motion mechanism is obtained via high-dimensional Gaussian integration. The study demonstrates that the proposed method successfully transforms the time-varying reliability problem into several time-invariant reliability problems for analysis, and handles the time-varying reliability problem of a nonlinear motion mechanism involving random variables and stochastic processes, and significantly increases the computational efficiency. Finally, the proposed method’s effectiveness is verified by two numerical examples and one practical engineering problem.https://ieeexplore.ieee.org/document/9718274/Process discretizationuncertain mechanismtime-varying reliabilityfirst-order reliability method |
| spellingShingle | Qishui Yao Quan Zhang Jiachang Tang Xiaopeng Wang Meijuan Hu Time-Variant Reliability Analysis Method for Uncertain Motion Mechanisms Based on Stochastic Process Discretization IEEE Access Process discretization uncertain mechanism time-varying reliability first-order reliability method |
| title | Time-Variant Reliability Analysis Method for Uncertain Motion Mechanisms Based on Stochastic Process Discretization |
| title_full | Time-Variant Reliability Analysis Method for Uncertain Motion Mechanisms Based on Stochastic Process Discretization |
| title_fullStr | Time-Variant Reliability Analysis Method for Uncertain Motion Mechanisms Based on Stochastic Process Discretization |
| title_full_unstemmed | Time-Variant Reliability Analysis Method for Uncertain Motion Mechanisms Based on Stochastic Process Discretization |
| title_short | Time-Variant Reliability Analysis Method for Uncertain Motion Mechanisms Based on Stochastic Process Discretization |
| title_sort | time variant reliability analysis method for uncertain motion mechanisms based on stochastic process discretization |
| topic | Process discretization uncertain mechanism time-varying reliability first-order reliability method |
| url | https://ieeexplore.ieee.org/document/9718274/ |
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