PREDICTION OF FATIGUE LIFE BASED ON FUZZY MATHEMATICS AND GREY SYSTEM THEORY
The traditional fatigue life prediction method Miner theory ignored the damage caused by stress below the fatigue limit to the component, resulting in a large error in fatigue life prediction. In order to calculate the damage caused by the stress below the fatigue limit to the component, according t...
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| Format: | Article |
| Language: | zho |
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Editorial Office of Journal of Mechanical Strength
2023-12-01
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| Series: | Jixie qiangdu |
| Subjects: | |
| Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2023.06.024 |
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| author | XU RongXia GAO JianXiong WU ZhiFeng ZHU PengNian |
| author_facet | XU RongXia GAO JianXiong WU ZhiFeng ZHU PengNian |
| author_sort | XU RongXia |
| collection | DOAJ |
| description | The traditional fatigue life prediction method Miner theory ignored the damage caused by stress below the fatigue limit to the component, resulting in a large error in fatigue life prediction. In order to calculate the damage caused by the stress below the fatigue limit to the component, according to the loading stress and its characteristics of the damage, the partial large membership function in the semi-trapezoidal and trapezoidal distribution is selected, and the degree of damage caused by the stress below the fatigue limit is characterized by its membership. The damage phenomenon reflected by this membership functionis regarded as a gray system, and an equally spaced GM(1,1) model of stress and membership is established. Then, it fitted its function expression and combined it with the membership function to calculate the damage caused by stress below the fatigue limit. Two sets of 41Cr4 multi-level loading experimental data were used to verify and evaluate the proposed new model, and the error between the estimated results and the experimental results was about 7.5%. Compared with Miner theory, the predicted fatigue life model of the equally spaced grey system, and the grey Verhulst predicted fatigue life model, this model improves the fatigue life prediction accuracy. |
| format | Article |
| id | doaj-art-85cebb87314f4b52a0992c1ca3272d6d |
| institution | Kabale University |
| issn | 1001-9669 |
| language | zho |
| publishDate | 2023-12-01 |
| publisher | Editorial Office of Journal of Mechanical Strength |
| record_format | Article |
| series | Jixie qiangdu |
| spelling | doaj-art-85cebb87314f4b52a0992c1ca3272d6d2025-01-15T02:45:02ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692023-12-01451452145855273268PREDICTION OF FATIGUE LIFE BASED ON FUZZY MATHEMATICS AND GREY SYSTEM THEORYXU RongXiaGAO JianXiongWU ZhiFengZHU PengNianThe traditional fatigue life prediction method Miner theory ignored the damage caused by stress below the fatigue limit to the component, resulting in a large error in fatigue life prediction. In order to calculate the damage caused by the stress below the fatigue limit to the component, according to the loading stress and its characteristics of the damage, the partial large membership function in the semi-trapezoidal and trapezoidal distribution is selected, and the degree of damage caused by the stress below the fatigue limit is characterized by its membership. The damage phenomenon reflected by this membership functionis regarded as a gray system, and an equally spaced GM(1,1) model of stress and membership is established. Then, it fitted its function expression and combined it with the membership function to calculate the damage caused by stress below the fatigue limit. Two sets of 41Cr4 multi-level loading experimental data were used to verify and evaluate the proposed new model, and the error between the estimated results and the experimental results was about 7.5%. Compared with Miner theory, the predicted fatigue life model of the equally spaced grey system, and the grey Verhulst predicted fatigue life model, this model improves the fatigue life prediction accuracy.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2023.06.024Membership functionGrey system theoryFatigue limitGM(1,1) modelFatigue life |
| spellingShingle | XU RongXia GAO JianXiong WU ZhiFeng ZHU PengNian PREDICTION OF FATIGUE LIFE BASED ON FUZZY MATHEMATICS AND GREY SYSTEM THEORY Jixie qiangdu Membership function Grey system theory Fatigue limit GM(1,1) model Fatigue life |
| title | PREDICTION OF FATIGUE LIFE BASED ON FUZZY MATHEMATICS AND GREY SYSTEM THEORY |
| title_full | PREDICTION OF FATIGUE LIFE BASED ON FUZZY MATHEMATICS AND GREY SYSTEM THEORY |
| title_fullStr | PREDICTION OF FATIGUE LIFE BASED ON FUZZY MATHEMATICS AND GREY SYSTEM THEORY |
| title_full_unstemmed | PREDICTION OF FATIGUE LIFE BASED ON FUZZY MATHEMATICS AND GREY SYSTEM THEORY |
| title_short | PREDICTION OF FATIGUE LIFE BASED ON FUZZY MATHEMATICS AND GREY SYSTEM THEORY |
| title_sort | prediction of fatigue life based on fuzzy mathematics and grey system theory |
| topic | Membership function Grey system theory Fatigue limit GM(1,1) model Fatigue life |
| url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2023.06.024 |
| work_keys_str_mv | AT xurongxia predictionoffatiguelifebasedonfuzzymathematicsandgreysystemtheory AT gaojianxiong predictionoffatiguelifebasedonfuzzymathematicsandgreysystemtheory AT wuzhifeng predictionoffatiguelifebasedonfuzzymathematicsandgreysystemtheory AT zhupengnian predictionoffatiguelifebasedonfuzzymathematicsandgreysystemtheory |