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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Hedi Hassis & Abir Jendoubi & Lioua Kolsi & Mohamed Omri, 2022. "A Dynamic Analysis for Probabilistic/Possibilistic Problems Model Reduction Analysis Using Special Functions," Mathematics, MDPI, vol. 10(9), pages 1-18, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1554-:d:808869
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