A New Nonlinear Fatigue Cumulative Damage Model Based on Enhanced Whale Optimization Algorithm and Manson–Halford Model
ABSTRACT In the field of modern mechanical engineering, structures often endure multi‐level variable stress loading. The nonlinear fatigue cumulative damage process of these structures is highly complex due to the significant influence of loading sequences and interactions, which makes fatigue life...
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| Vydáno v: | Fatigue & fracture of engineering materials & structures Ročník 48; číslo 8; s. 3528 - 3544 |
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01.08.2025
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| Abstract | ABSTRACT
In the field of modern mechanical engineering, structures often endure multi‐level variable stress loading. The nonlinear fatigue cumulative damage process of these structures is highly complex due to the significant influence of loading sequences and interactions, which makes fatigue life prediction difficult. To accurately describe the impacts of these factors on fatigue damage, this paper proposes a nonlinear fatigue cumulative damage model (EWOA‐MH) based on the enhanced whale optimization algorithm (EWOA) and the Manson–Halford (M‐H) model. This model obtains weight factors through EWOA and incorporates them into the M‐H model. Verified by experimental data of multi‐level variable stress loading and calculated with a weighted method considering different materials' sample numbers, the prediction accuracy is increased by approximately 43%. Its application to the analysis of high‐speed train bogie frames effectively demonstrates the model's effectiveness. The research shows that the EWOA‐MH model performs outstandingly in fatigue life prediction and can effectively solve fatigue damage problems under multi‐level variable stress loading conditions. |
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| AbstractList | ABSTRACT
In the field of modern mechanical engineering, structures often endure multi‐level variable stress loading. The nonlinear fatigue cumulative damage process of these structures is highly complex due to the significant influence of loading sequences and interactions, which makes fatigue life prediction difficult. To accurately describe the impacts of these factors on fatigue damage, this paper proposes a nonlinear fatigue cumulative damage model (EWOA‐MH) based on the enhanced whale optimization algorithm (EWOA) and the Manson–Halford (M‐H) model. This model obtains weight factors through EWOA and incorporates them into the M‐H model. Verified by experimental data of multi‐level variable stress loading and calculated with a weighted method considering different materials' sample numbers, the prediction accuracy is increased by approximately 43%. Its application to the analysis of high‐speed train bogie frames effectively demonstrates the model's effectiveness. The research shows that the EWOA‐MH model performs outstandingly in fatigue life prediction and can effectively solve fatigue damage problems under multi‐level variable stress loading conditions. In the field of modern mechanical engineering, structures often endure multi‐level variable stress loading. The nonlinear fatigue cumulative damage process of these structures is highly complex due to the significant influence of loading sequences and interactions, which makes fatigue life prediction difficult. To accurately describe the impacts of these factors on fatigue damage, this paper proposes a nonlinear fatigue cumulative damage model (EWOA‐MH) based on the enhanced whale optimization algorithm (EWOA) and the Manson–Halford (M‐H) model. This model obtains weight factors through EWOA and incorporates them into the M‐H model. Verified by experimental data of multi‐level variable stress loading and calculated with a weighted method considering different materials' sample numbers, the prediction accuracy is increased by approximately 43%. Its application to the analysis of high‐speed train bogie frames effectively demonstrates the model's effectiveness. The research shows that the EWOA‐MH model performs outstandingly in fatigue life prediction and can effectively solve fatigue damage problems under multi‐level variable stress loading conditions. |
| Author | Dong, Qi Zhang, Zhiyang Li, Yonghua Tang, Yuhan Wang, Yuedong Guo, Tao |
| Author_xml | – sequence: 1 givenname: Yuhan surname: Tang fullname: Tang, Yuhan organization: Dalian Jiaotong University – sequence: 2 givenname: Yuedong orcidid: 0000-0003-4262-4930 surname: Wang fullname: Wang, Yuedong email: wydstar@163.com organization: Dalian Jiaotong University – sequence: 3 givenname: Qi surname: Dong fullname: Dong, Qi organization: Dalian Jiaotong University – sequence: 4 givenname: Yonghua surname: Li fullname: Li, Yonghua organization: Dalian Jiaotong University – sequence: 5 givenname: Tao orcidid: 0009-0003-3653-7379 surname: Guo fullname: Guo, Tao organization: CRRC Tangshan Co. Ltd – sequence: 6 givenname: Zhiyang surname: Zhang fullname: Zhang, Zhiyang organization: Dalian Jiaotong University |
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| Cites_doi | 10.1016/j.ijfatigue.2021.106393 10.1177/10567895221120286 10.1016/j.heliyon.2024.e36716 10.1177/10567895241245869 10.1016/j.compstruc.2014.03.007 10.1177/1056789515620910 10.1115/1.3443383 10.1007/s40194-023-01572-w 10.1016/j.advengsoft.2016.01.008 10.1016/j.ijfatigue.2021.106636 10.1016/j.proeng.2010.03.219 10.1016/S0141-0296(02)00055-X 10.1177/10567895221134956 10.1111/ffe.13246 10.1007/s42243-018-0157-5 10.1016/j.advengsoft.2013.12.007 10.1016/j.ijfatigue.2023.107661 10.1007/BF00053519 |
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| Notes | Funding The authors are grateful for the financial supports by the Science and Technology Research and Development Programme Project of China National Railway Administration Group (Grant No: 2022YJ322). ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
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In the field of modern mechanical engineering, structures often endure multi‐level variable stress loading. The nonlinear fatigue cumulative damage... In the field of modern mechanical engineering, structures often endure multi‐level variable stress loading. The nonlinear fatigue cumulative damage process of... |
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| SubjectTerms | Algorithms Cumulative damage Damage assessment enhanced whale optimization algorithm Fatigue failure Fatigue life fatigue life prediction Life prediction Manson–Halford model Mechanical engineering multi‐level variable stress loading nonlinear fatigue cumulative damage Optimization Optimization algorithms Undercarriages |
| Title | A New Nonlinear Fatigue Cumulative Damage Model Based on Enhanced Whale Optimization Algorithm and Manson–Halford Model |
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