Reliability Modeling and Estimation of the Gear System
Traditional reliability models of the gear system either simplify the gear system unreasonably or are too complicated to be applicable for some gear systems. Therefore, a reliability model of the gear system considering statistically dependent failure based on the theory of the order statistics is d...
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| Veröffentlicht in: | Mathematical problems in engineering 2018-01, Vol.2018 (2018), p.1-9 |
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| container_title | Mathematical problems in engineering |
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| creator | Ren, Jungang Ma, Hongyi Xie, Liyang Bai, Enjun Zhang, Shijian |
| description | Traditional reliability models of the gear system either simplify the gear system unreasonably or are too complicated to be applicable for some gear systems. Therefore, a reliability model of the gear system considering statistically dependent failure based on the theory of the order statistics is developed in this paper. Firstly, the gear bending fatigue test of small sample is implemented to obtain the P-S-N curves that are fitted by using the least square method and the linear regression method of the statistical parameters under the test stress levels. Then, according to stress-strength interference theory and the theory of the order statistics, the reliability models considering the number of load cycles from a gear to gear system are built, which indicates clear modeling process of the gear system. Finally, the proposed reliability model of gear system is validated by using the Monte Carlo Simulation (MCS) and the system reliability under special load history is analyzed qualitatively. |
| doi_str_mv | 10.1155/2018/9091684 |
| format | Article |
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Therefore, a reliability model of the gear system considering statistically dependent failure based on the theory of the order statistics is developed in this paper. Firstly, the gear bending fatigue test of small sample is implemented to obtain the P-S-N curves that are fitted by using the least square method and the linear regression method of the statistical parameters under the test stress levels. Then, according to stress-strength interference theory and the theory of the order statistics, the reliability models considering the number of load cycles from a gear to gear system are built, which indicates clear modeling process of the gear system. Finally, the proposed reliability model of gear system is validated by using the Monte Carlo Simulation (MCS) and the system reliability under special load history is analyzed qualitatively.</description><identifier>ISSN: 1024-123X</identifier><identifier>EISSN: 1563-5147</identifier><identifier>DOI: 10.1155/2018/9091684</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Publishing Corporation</publisher><subject>Bending fatigue ; Bending stresses ; Computer simulation ; Engineering ; Fatigue failure ; Fatigue life ; Fatigue tests ; International conferences ; Load ; Load history ; Materials fatigue ; Mechanical engineering ; Methods ; Modelling ; Regression analysis ; Reliability analysis ; Reliability engineering ; S N diagrams ; Standard deviation ; Statistical analysis ; Statistical tests ; Stress ; System reliability</subject><ispartof>Mathematical problems in engineering, 2018-01, Vol.2018 (2018), p.1-9</ispartof><rights>Copyright © 2018 Enjun Bai et al.</rights><rights>Copyright © 2018 Enjun Bai et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 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Finally, the proposed reliability model of gear system is validated by using the Monte Carlo Simulation (MCS) and the system reliability under special load history is analyzed qualitatively.</description><subject>Bending fatigue</subject><subject>Bending stresses</subject><subject>Computer simulation</subject><subject>Engineering</subject><subject>Fatigue failure</subject><subject>Fatigue life</subject><subject>Fatigue tests</subject><subject>International conferences</subject><subject>Load</subject><subject>Load history</subject><subject>Materials fatigue</subject><subject>Mechanical engineering</subject><subject>Methods</subject><subject>Modelling</subject><subject>Regression analysis</subject><subject>Reliability analysis</subject><subject>Reliability engineering</subject><subject>S N diagrams</subject><subject>Standard deviation</subject><subject>Statistical analysis</subject><subject>Statistical tests</subject><subject>Stress</subject><subject>System reliability</subject><issn>1024-123X</issn><issn>1563-5147</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>RHX</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNqF0ElLAzEUB_AgCtbqzbMEPOrYvCwzyVFKrUJFcAFvIc1ip7QzdZIi_famTMGjp7zAj7f8EboEcgcgxIgSkCNFFJSSH6EBiJIVAnh1nGtCeQGUfZ6isxiXhFAQIAeofPWr2szrVZ12-Ll1-dd8YdM4PImpXptUtw1uA04Lj6fedPhtF5Nfn6OTYFbRXxzeIfp4mLyPH4vZy_RpfD8rLIMqFdKW1CgIpQ8OLFVBVMpUVgjLaWUEU6WpvHVecuHmKjBwpVIAnDOqRIDAhui677vp2u-tj0kv223X5JGaQj6TKC4hq9te2a6NsfNBb7q8e7fTQPQ-Gb1PRh-Syfym54u6cean_k9f9dpn44P505QowSX7BSYoavM</recordid><startdate>20180101</startdate><enddate>20180101</enddate><creator>Ren, Jungang</creator><creator>Ma, Hongyi</creator><creator>Xie, Liyang</creator><creator>Bai, Enjun</creator><creator>Zhang, Shijian</creator><general>Hindawi Publishing Corporation</general><general>Hindawi</general><general>Hindawi Limited</general><scope>ADJCN</scope><scope>AHFXO</scope><scope>RHU</scope><scope>RHW</scope><scope>RHX</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>CWDGH</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KR7</scope><scope>L6V</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><orcidid>https://orcid.org/0000-0001-6578-9864</orcidid><orcidid>https://orcid.org/0000-0003-4573-0317</orcidid></search><sort><creationdate>20180101</creationdate><title>Reliability Modeling and Estimation of the Gear System</title><author>Ren, Jungang ; Ma, Hongyi ; Xie, Liyang ; Bai, Enjun ; Zhang, Shijian</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c317t-8c62a91f6efd1c29f579a7c55c427a5396a7ecde845db9f31d69911443295f1f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Bending fatigue</topic><topic>Bending stresses</topic><topic>Computer simulation</topic><topic>Engineering</topic><topic>Fatigue failure</topic><topic>Fatigue life</topic><topic>Fatigue tests</topic><topic>International conferences</topic><topic>Load</topic><topic>Load history</topic><topic>Materials fatigue</topic><topic>Mechanical engineering</topic><topic>Methods</topic><topic>Modelling</topic><topic>Regression analysis</topic><topic>Reliability analysis</topic><topic>Reliability engineering</topic><topic>S N diagrams</topic><topic>Standard deviation</topic><topic>Statistical analysis</topic><topic>Statistical tests</topic><topic>Stress</topic><topic>System reliability</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ren, Jungang</creatorcontrib><creatorcontrib>Ma, Hongyi</creatorcontrib><creatorcontrib>Xie, Liyang</creatorcontrib><creatorcontrib>Bai, Enjun</creatorcontrib><creatorcontrib>Zhang, Shijian</creatorcontrib><collection>الدوريات العلمية والإحصائية - e-Marefa Academic and Statistical Periodicals</collection><collection>معرفة - المحتوى العربي الأكاديمي المتكامل - e-Marefa Academic Complete</collection><collection>Hindawi Publishing Complete</collection><collection>Hindawi Publishing Subscription Journals</collection><collection>Hindawi Publishing Open Access Journals</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>Middle East & Africa Database</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content (ProQuest)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><jtitle>Mathematical problems in engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ren, Jungang</au><au>Ma, Hongyi</au><au>Xie, Liyang</au><au>Bai, Enjun</au><au>Zhang, Shijian</au><au>Branco, Ricardo</au><au>Ricardo Branco</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Reliability Modeling and Estimation of the Gear System</atitle><jtitle>Mathematical problems in engineering</jtitle><date>2018-01-01</date><risdate>2018</risdate><volume>2018</volume><issue>2018</issue><spage>1</spage><epage>9</epage><pages>1-9</pages><issn>1024-123X</issn><eissn>1563-5147</eissn><abstract>Traditional reliability models of the gear system either simplify the gear system unreasonably or are too complicated to be applicable for some gear systems. Therefore, a reliability model of the gear system considering statistically dependent failure based on the theory of the order statistics is developed in this paper. Firstly, the gear bending fatigue test of small sample is implemented to obtain the P-S-N curves that are fitted by using the least square method and the linear regression method of the statistical parameters under the test stress levels. Then, according to stress-strength interference theory and the theory of the order statistics, the reliability models considering the number of load cycles from a gear to gear system are built, which indicates clear modeling process of the gear system. Finally, the proposed reliability model of gear system is validated by using the Monte Carlo Simulation (MCS) and the system reliability under special load history is analyzed qualitatively.</abstract><cop>Cairo, Egypt</cop><pub>Hindawi Publishing Corporation</pub><doi>10.1155/2018/9091684</doi><tpages>9</tpages><orcidid>https://orcid.org/0000-0001-6578-9864</orcidid><orcidid>https://orcid.org/0000-0003-4573-0317</orcidid><oa>free_for_read</oa></addata></record> |
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| source | Wiley Online Library Open Access; EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection |
| subjects | Bending fatigue Bending stresses Computer simulation Engineering Fatigue failure Fatigue life Fatigue tests International conferences Load Load history Materials fatigue Mechanical engineering Methods Modelling Regression analysis Reliability analysis Reliability engineering S N diagrams Standard deviation Statistical analysis Statistical tests Stress System reliability |
| title | Reliability Modeling and Estimation of the Gear System |
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