Mathematics (May 2022)

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

  • Hedi Hassis,
  • Abir Jendoubi,
  • Lioua Kolsi,
  • Mohamed Omri

DOI
https://doi.org/10.3390/math10091554
Journal volume & issue
Vol. 10, no. 9
p. 1554

Abstract

Read online

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