A Dynamic Analysis for Probabilistic/Possibilistic Problems Model Reduction Analysis Using Special Functions

Hedi Hassis, Abir Jendoubi, Lioua Kolsi and Mohamed Omri
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Hedi Hassis: Civil 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, Tunisia
Abir Jendoubi: Civil Engineering Department, University of Sherbrooke, 2500 Boulevard de l’Université, Sherbrooke, QC J1K 2R1, Canada
Lioua Kolsi: Department of Mechanical Engineering, College of Engineering, University of Ha’il, Ha’il 81541, Saudi Arabia
Mohamed Omri: Deanship of Scientific Research, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Mathematics, 2022, vol. 10, issue 9, 1-18

Abstract: 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.

Keywords: probabilistic; possibilistic; dynamic analysis; model reduction (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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