Technical Systems Under Stress: New Lifespan Models and Calculation Methods
Technical systems, which form the basis of modern technology, are structures designed to achieve a specific purpose by bringing together different components. In this respect, they have a wide field of study. Our study is aimed at the general evaluation of technical systems operating under stress. T...
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MDPI AG
2025-03-01
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| Series: | AppliedMath |
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| Online Access: | https://www.mdpi.com/2673-9909/5/1/26 |
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| author | Mine Doğan Mehmet Gürcan |
| author_facet | Mine Doğan Mehmet Gürcan |
| author_sort | Mine Doğan |
| collection | DOAJ |
| description | Technical systems, which form the basis of modern technology, are structures designed to achieve a specific purpose by bringing together different components. In this respect, they have a wide field of study. Our study is aimed at the general evaluation of technical systems operating under stress. The reliability of technical systems is directly related to order statistics. Therefore, first of all, when the moment of failure is observed, a life time distribution is proposed, which is revised at each moment of failure. Secondly, a new expected value operator is proposed. Thanks to this operator, the average working time under stress can be calculated easily without deforming the working time distribution. Finally, the differential structure of the stress factor is examined in detail, and two different differential equations and solutions are proposed depending on the working time distribution. The numerical calculations presented in the study include detailed information on the applications of the proposed methods. |
| format | Article |
| id | doaj-art-a8e807e89bc94b73b63149a1f20e0b7f |
| institution | OA Journals |
| issn | 2673-9909 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | AppliedMath |
| spelling | doaj-art-a8e807e89bc94b73b63149a1f20e0b7f2025-08-20T02:11:08ZengMDPI AGAppliedMath2673-99092025-03-01512610.3390/appliedmath5010026Technical Systems Under Stress: New Lifespan Models and Calculation MethodsMine Doğan0Mehmet Gürcan1Statistics Department, Fırat University, Elazığ 23100, TurkeyStatistics Department, Fırat University, Elazığ 23100, TurkeyTechnical systems, which form the basis of modern technology, are structures designed to achieve a specific purpose by bringing together different components. In this respect, they have a wide field of study. Our study is aimed at the general evaluation of technical systems operating under stress. The reliability of technical systems is directly related to order statistics. Therefore, first of all, when the moment of failure is observed, a life time distribution is proposed, which is revised at each moment of failure. Secondly, a new expected value operator is proposed. Thanks to this operator, the average working time under stress can be calculated easily without deforming the working time distribution. Finally, the differential structure of the stress factor is examined in detail, and two different differential equations and solutions are proposed depending on the working time distribution. The numerical calculations presented in the study include detailed information on the applications of the proposed methods.https://www.mdpi.com/2673-9909/5/1/26system reliabilityaverage life timevector fielddifferential structure of stress factor |
| spellingShingle | Mine Doğan Mehmet Gürcan Technical Systems Under Stress: New Lifespan Models and Calculation Methods AppliedMath system reliability average life time vector field differential structure of stress factor |
| title | Technical Systems Under Stress: New Lifespan Models and Calculation Methods |
| title_full | Technical Systems Under Stress: New Lifespan Models and Calculation Methods |
| title_fullStr | Technical Systems Under Stress: New Lifespan Models and Calculation Methods |
| title_full_unstemmed | Technical Systems Under Stress: New Lifespan Models and Calculation Methods |
| title_short | Technical Systems Under Stress: New Lifespan Models and Calculation Methods |
| title_sort | technical systems under stress new lifespan models and calculation methods |
| topic | system reliability average life time vector field differential structure of stress factor |
| url | https://www.mdpi.com/2673-9909/5/1/26 |
| work_keys_str_mv | AT minedogan technicalsystemsunderstressnewlifespanmodelsandcalculationmethods AT mehmetgurcan technicalsystemsunderstressnewlifespanmodelsandcalculationmethods |