Contact stress reliability analysis based on first order second moment for variable hyperbolic circular arc gear
Aiming at the contact strength reliability of variable hyperbolic circular arc gear, a reliability analysis method for contact strength of variable hyperbolic circular arc gear based on Kriging model and advanced first-order and second-moment algorithm is proposed. Kriging model was used to establis...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SAGE Publishing
2022-07-01
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| Series: | Advances in Mechanical Engineering |
| Online Access: | https://doi.org/10.1177/16878132221111210 |
| _version_ | 1811322834760237056 |
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| author | Zhang Qi Wen Guang Chen Zhixin Zhou Qin Xiang Guoqi Yang Guangchun Zhang Xuegang |
| author_facet | Zhang Qi Wen Guang Chen Zhixin Zhou Qin Xiang Guoqi Yang Guangchun Zhang Xuegang |
| author_sort | Zhang Qi |
| collection | DOAJ |
| description | Aiming at the contact strength reliability of variable hyperbolic circular arc gear, a reliability analysis method for contact strength of variable hyperbolic circular arc gear based on Kriging model and advanced first-order and second-moment algorithm is proposed. Kriging model was used to establish the limit state equation of the contact stress reliability analysis of variable hyperbolic circular arc gear, and the advanced first-order second-moment method was used to analyze the contact stress reliability of variable hyperbolic circular arc gear based on the limit state equation of the contact stress. In order to verify the effectiveness of the proposed algorithm, a Markov Chain Monte Carlo reliability analysis method based on Important Sampling was proposed. Markov Chain and Important Sampling were exploited to improve the accuracy of contact reliability analysis based on Monte Carlo method for variable hyperbolic circular arc gear. The comparison between the analysis results of Markov Chain Monte Carlo with Important Sampling method and first order second moment shows that it is feasible to analyze the reliability of variable hyperbolic circular arc gear by first-order second-moment method. |
| first_indexed | 2024-04-13T13:43:10Z |
| format | Article |
| id | doaj.art-4210a93b3e2a4787886defc5b7256bfb |
| institution | Directory Open Access Journal |
| issn | 1687-8140 |
| language | English |
| last_indexed | 2024-04-13T13:43:10Z |
| publishDate | 2022-07-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Advances in Mechanical Engineering |
| spelling | doaj.art-4210a93b3e2a4787886defc5b7256bfb2022-12-22T02:44:33ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402022-07-011410.1177/16878132221111210Contact stress reliability analysis based on first order second moment for variable hyperbolic circular arc gearZhang Qi0Wen Guang1Chen Zhixin2Zhou Qin3Xiang Guoqi4Yang Guangchun5Zhang Xuegang6Panzhihua University, Panzhihua, Sichuan, ChinaChengdu Industrial Vocational Technical College, Chengdu, Sichuan, ChinaChengdu Industry and Trade College, Chengdu, Sichuan, ChinaMianyang Polytechnic, Mianyang, Sichuan, ChinaPanzhihua University, Panzhihua, Sichuan, ChinaPanzhihua University, Panzhihua, Sichuan, ChinaPanzhihua University, Panzhihua, Sichuan, ChinaAiming at the contact strength reliability of variable hyperbolic circular arc gear, a reliability analysis method for contact strength of variable hyperbolic circular arc gear based on Kriging model and advanced first-order and second-moment algorithm is proposed. Kriging model was used to establish the limit state equation of the contact stress reliability analysis of variable hyperbolic circular arc gear, and the advanced first-order second-moment method was used to analyze the contact stress reliability of variable hyperbolic circular arc gear based on the limit state equation of the contact stress. In order to verify the effectiveness of the proposed algorithm, a Markov Chain Monte Carlo reliability analysis method based on Important Sampling was proposed. Markov Chain and Important Sampling were exploited to improve the accuracy of contact reliability analysis based on Monte Carlo method for variable hyperbolic circular arc gear. The comparison between the analysis results of Markov Chain Monte Carlo with Important Sampling method and first order second moment shows that it is feasible to analyze the reliability of variable hyperbolic circular arc gear by first-order second-moment method.https://doi.org/10.1177/16878132221111210 |
| spellingShingle | Zhang Qi Wen Guang Chen Zhixin Zhou Qin Xiang Guoqi Yang Guangchun Zhang Xuegang Contact stress reliability analysis based on first order second moment for variable hyperbolic circular arc gear Advances in Mechanical Engineering |
| title | Contact stress reliability analysis based on first order second moment for variable hyperbolic circular arc gear |
| title_full | Contact stress reliability analysis based on first order second moment for variable hyperbolic circular arc gear |
| title_fullStr | Contact stress reliability analysis based on first order second moment for variable hyperbolic circular arc gear |
| title_full_unstemmed | Contact stress reliability analysis based on first order second moment for variable hyperbolic circular arc gear |
| title_short | Contact stress reliability analysis based on first order second moment for variable hyperbolic circular arc gear |
| title_sort | contact stress reliability analysis based on first order second moment for variable hyperbolic circular arc gear |
| url | https://doi.org/10.1177/16878132221111210 |
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