Maximum entropy-based uncertainty modeling at the finite element level

Pengchao Song, Marc P. Mignolet

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

2 Scopus citations


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
ISBN (Print)9781624105296
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


OtherAIAA Non-Deterministic Approaches Conference, 2018
Country/TerritoryUnited States

ASJC Scopus subject areas

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


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