Dynamic Reliability Evaluation of High-Speed Train Gearbox Based on Copula Function
As a key component of the high-speed train transmission system, the reliability of the gearbox directly affects the reliability and driving safety of the high-speed train. Taking the key parts in the gearbox: driving gear, driven gear, gearbox housing and bearing as the research object, the dynamic...
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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/9771443/ |
| _version_ | 1811340262976258048 |
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| author | Yumei Liu Yun Chen |
| author_facet | Yumei Liu Yun Chen |
| author_sort | Yumei Liu |
| collection | DOAJ |
| description | As a key component of the high-speed train transmission system, the reliability of the gearbox directly affects the reliability and driving safety of the high-speed train. Taking the key parts in the gearbox: driving gear, driven gear, gearbox housing and bearing as the research object, the dynamic reliability of the gearbox is evaluated. First, combined with classical stress-strength interference theory, the number of stochastic loads is regarded as a Poisson process, and the strength degradation is described by the Gamma process, the Gamma strength degradation parameter of each part is determined from the part material or the part’s P-S-N curve, and the reliability model of each key part of the gearbox is obtained. Second, the gearbox is regarded as a series system, and the Gumbel Copula function is introduced to deal with the nonlinear correlation between different parts and between different failure modes of the same part. The nesting relationship of the Copula function is determined, the parameter values of the Gumbel Copula function are determined based on the kernel density estimation and maximum likelihood estimation method, so as to establish the dynamic reliability model of the gearbox system and realize the evaluation of the dynamic reliability of the gearbox. The evaluation results show that the method for evaluating the reliability of high-speed train gearboxes is in line with engineering practice. The evaluation method has practical significance for the reliability check, optimization design and dynamic tracking of the gearbox reliability during the service period of the high-speed train gearbox. |
| first_indexed | 2024-04-13T18:38:24Z |
| format | Article |
| id | doaj.art-e2b302cd496a4335b7a6d10442273958 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-13T18:38:24Z |
| publishDate | 2022-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-e2b302cd496a4335b7a6d104422739582022-12-22T02:34:48ZengIEEEIEEE Access2169-35362022-01-0110517925180310.1109/ACCESS.2022.31740439771443Dynamic Reliability Evaluation of High-Speed Train Gearbox Based on Copula FunctionYumei Liu0Yun Chen1https://orcid.org/0000-0003-0025-816XTransportation College, Jilin University, Changchun, ChinaTransportation College, Jilin University, Changchun, ChinaAs a key component of the high-speed train transmission system, the reliability of the gearbox directly affects the reliability and driving safety of the high-speed train. Taking the key parts in the gearbox: driving gear, driven gear, gearbox housing and bearing as the research object, the dynamic reliability of the gearbox is evaluated. First, combined with classical stress-strength interference theory, the number of stochastic loads is regarded as a Poisson process, and the strength degradation is described by the Gamma process, the Gamma strength degradation parameter of each part is determined from the part material or the part’s P-S-N curve, and the reliability model of each key part of the gearbox is obtained. Second, the gearbox is regarded as a series system, and the Gumbel Copula function is introduced to deal with the nonlinear correlation between different parts and between different failure modes of the same part. The nesting relationship of the Copula function is determined, the parameter values of the Gumbel Copula function are determined based on the kernel density estimation and maximum likelihood estimation method, so as to establish the dynamic reliability model of the gearbox system and realize the evaluation of the dynamic reliability of the gearbox. The evaluation results show that the method for evaluating the reliability of high-speed train gearboxes is in line with engineering practice. The evaluation method has practical significance for the reliability check, optimization design and dynamic tracking of the gearbox reliability during the service period of the high-speed train gearbox.https://ieeexplore.ieee.org/document/9771443/High-speed train gearboxstress-strength interference theoryGamma processGumbel Copula functionKernel density estimationmaximum likelihood estimation |
| spellingShingle | Yumei Liu Yun Chen Dynamic Reliability Evaluation of High-Speed Train Gearbox Based on Copula Function IEEE Access High-speed train gearbox stress-strength interference theory Gamma process Gumbel Copula function Kernel density estimation maximum likelihood estimation |
| title | Dynamic Reliability Evaluation of High-Speed Train Gearbox Based on Copula Function |
| title_full | Dynamic Reliability Evaluation of High-Speed Train Gearbox Based on Copula Function |
| title_fullStr | Dynamic Reliability Evaluation of High-Speed Train Gearbox Based on Copula Function |
| title_full_unstemmed | Dynamic Reliability Evaluation of High-Speed Train Gearbox Based on Copula Function |
| title_short | Dynamic Reliability Evaluation of High-Speed Train Gearbox Based on Copula Function |
| title_sort | dynamic reliability evaluation of high speed train gearbox based on copula function |
| topic | High-speed train gearbox stress-strength interference theory Gamma process Gumbel Copula function Kernel density estimation maximum likelihood estimation |
| url | https://ieeexplore.ieee.org/document/9771443/ |
| work_keys_str_mv | AT yumeiliu dynamicreliabilityevaluationofhighspeedtraingearboxbasedoncopulafunction AT yunchen dynamicreliabilityevaluationofhighspeedtraingearboxbasedoncopulafunction |