Maximum entropy-based uncertainty modeling at the finite element level

Pengchao Song, Marc Mignolet

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

A novel approach is proposed for the modeling of uncertainties in finite element models of linear structural or thermal problems. This uncertainty is introduced at the level of each finite element by randomizing the corresponding elemental matrices (e.g., mass, stiffness, conductance) using the maximum entropy concepts. The approach is characterized by only two parameters, one expressing the overall level of uncertainty while the other is the correlation length underlying the random elemental matrices. The approach is exemplified on a structure example developed with Nastran.

Original languageEnglish (US)
Title of host publicationAIAA Non-Deterministic Approaches
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
Edition209969
ISBN (Print)9781624105296
DOIs
StatePublished - 2018
EventAIAA Non-Deterministic Approaches Conference, 2018 - Kissimmee, United States
Duration: Jan 8 2018Jan 12 2018

Publication series

NameAIAA Non-Deterministic Approaches Conference, 2018
Number209969
Volume0

Other

OtherAIAA Non-Deterministic Approaches Conference, 2018
CountryUnited States
CityKissimmee
Period1/8/181/12/18

ASJC Scopus subject areas

  • Architecture
  • Mechanics of Materials
  • Building and Construction
  • Civil and Structural Engineering

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  • Cite this

    Song, P., & Mignolet, M. (2018). Maximum entropy-based uncertainty modeling at the finite element level. In AIAA Non-Deterministic Approaches (209969 ed.). (AIAA Non-Deterministic Approaches Conference, 2018; Vol. 0, No. 209969). American Institute of Aeronautics and Astronautics Inc, AIAA. https://doi.org/10.2514/6.2018-1657