Maximum entropy-based uncertainty modeling at the finite element level

Pengchao Song, Marc Mignolet

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

1 Citation (Scopus)

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
StatePublished - Jan 1 2018
EventAIAA Non-Deterministic Approaches Conference, 2018 - Kissimmee, United States
Duration: Jan 8 2018Jan 12 2018

Other

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

Fingerprint

Entropy
Heat problems
Stiffness
Uncertainty

ASJC Scopus subject areas

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

Cite this

Song, P., & Mignolet, M. (2018). Maximum entropy-based uncertainty modeling at the finite element level. In AIAA Non-Deterministic Approaches (209969 ed.). American Institute of Aeronautics and Astronautics Inc, AIAA.

Maximum entropy-based uncertainty modeling at the finite element level. / Song, Pengchao; Mignolet, Marc.

AIAA Non-Deterministic Approaches. 209969. ed. American Institute of Aeronautics and Astronautics Inc, AIAA, 2018.

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

Song, P & Mignolet, M 2018, Maximum entropy-based uncertainty modeling at the finite element level. in AIAA Non-Deterministic Approaches. 209969 edn, American Institute of Aeronautics and Astronautics Inc, AIAA, AIAA Non-Deterministic Approaches Conference, 2018, Kissimmee, United States, 1/8/18.
Song P, Mignolet M. Maximum entropy-based uncertainty modeling at the finite element level. In AIAA Non-Deterministic Approaches. 209969 ed. American Institute of Aeronautics and Astronautics Inc, AIAA. 2018
Song, Pengchao ; Mignolet, Marc. / Maximum entropy-based uncertainty modeling at the finite element level. AIAA Non-Deterministic Approaches. 209969. ed. American Institute of Aeronautics and Astronautics Inc, AIAA, 2018.
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