A Dynamic Analysis for Probabilistic/Possibilistic Problems Model Reduction Analysis Using Special Functions
Information and data in mechanics, as in many other scientific disciplines, can be certainly known with an error-safety coefficient (deterministic), random with a known probability distribution (probabilistic), or random known with an uncertainty factor in the information (possibilistic). When the i...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/9/1554 |
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| author | Hedi Hassis Abir Jendoubi Lioua Kolsi Mohamed Omri |
| author_facet | Hedi Hassis Abir Jendoubi Lioua Kolsi Mohamed Omri |
| author_sort | Hedi Hassis |
| collection | DOAJ |
| description | Information and data in mechanics, as in many other scientific disciplines, can be certainly known with an error-safety coefficient (deterministic), random with a known probability distribution (probabilistic), or random known with an uncertainty factor in the information (possibilistic). When the information on the parameters is undermined, probabilistic/possibilistic mechanical techniques attempt to provide an estimate of the solution. For various mechanical problems involving probabilistic/possibility parameters, a constraint that must be met is sometimes added, as in the case of reliability analysis. In this paper, an approach for probabilistic/possibilistic dynamic analysis is introduced and validated. In addition, its extension for finite element structural analysis is presented. |
| first_indexed | 2024-03-10T03:55:33Z |
| format | Article |
| id | doaj.art-612a1ef0e2134a5ba1a8ee11ed420b10 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T03:55:33Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-612a1ef0e2134a5ba1a8ee11ed420b102023-11-23T08:46:06ZengMDPI AGMathematics2227-73902022-05-01109155410.3390/math10091554A Dynamic Analysis for Probabilistic/Possibilistic Problems Model Reduction Analysis Using Special FunctionsHedi Hassis0Abir Jendoubi1Lioua Kolsi2Mohamed Omri3Civil Engineering Laboratory LR-03-ES05, Ecole Nationale d’Ingénieurs de Tunis, University de Tunis El Manar, Farhat Hached Tunis University Campus, B.P. n° 94 - ROMMANA, Tunis 1068, TunisiaCivil Engineering Department, University of Sherbrooke, 2500 Boulevard de l’Université, Sherbrooke, QC J1K 2R1, CanadaDepartment of Mechanical Engineering, College of Engineering, University of Ha’il, Ha’il 81541, Saudi ArabiaDeanship of Scientific Research, King Abdulaziz University, Jeddah 21589, Saudi ArabiaInformation and data in mechanics, as in many other scientific disciplines, can be certainly known with an error-safety coefficient (deterministic), random with a known probability distribution (probabilistic), or random known with an uncertainty factor in the information (possibilistic). When the information on the parameters is undermined, probabilistic/possibilistic mechanical techniques attempt to provide an estimate of the solution. For various mechanical problems involving probabilistic/possibility parameters, a constraint that must be met is sometimes added, as in the case of reliability analysis. In this paper, an approach for probabilistic/possibilistic dynamic analysis is introduced and validated. In addition, its extension for finite element structural analysis is presented.https://www.mdpi.com/2227-7390/10/9/1554probabilisticpossibilisticdynamic analysismodel reduction |
| spellingShingle | Hedi Hassis Abir Jendoubi Lioua Kolsi Mohamed Omri A Dynamic Analysis for Probabilistic/Possibilistic Problems Model Reduction Analysis Using Special Functions Mathematics probabilistic possibilistic dynamic analysis model reduction |
| title | A Dynamic Analysis for Probabilistic/Possibilistic Problems Model Reduction Analysis Using Special Functions |
| title_full | A Dynamic Analysis for Probabilistic/Possibilistic Problems Model Reduction Analysis Using Special Functions |
| title_fullStr | A Dynamic Analysis for Probabilistic/Possibilistic Problems Model Reduction Analysis Using Special Functions |
| title_full_unstemmed | A Dynamic Analysis for Probabilistic/Possibilistic Problems Model Reduction Analysis Using Special Functions |
| title_short | A Dynamic Analysis for Probabilistic/Possibilistic Problems Model Reduction Analysis Using Special Functions |
| title_sort | dynamic analysis for probabilistic possibilistic problems model reduction analysis using special functions |
| topic | probabilistic possibilistic dynamic analysis model reduction |
| url | https://www.mdpi.com/2227-7390/10/9/1554 |
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