Maximum entropy structural-thermal uncertainty modeling at the finite element level

P. Song, X. Q. Wang, Marc Mignolet

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

Abstract

A recently proposed approach for the modeling of uncertainties in finite element models of linear structural or thermal problems is extended here for heated structures behaving linearly. The uncertainty is introduced at the level of each finite element by randomizing an elemental, positive semi definite matrix that includes both the stiffness matrix and the thermal loading using the maximum entropy concept. The approach is characterized by two groups of parameters, one expressing the overall level of uncertainty of the structural and thermal loading terms while the other group are the correlation lengths underlying the random elemental matrices. As it proceeds from the finite element mean model matrices, the modeling can be performed from finite element models constructed in commercial software. In fact, the approach is exemplified on a structural example developed within Nastran with the assembly of the random elemental matrices performed outside of this software.

Original languageEnglish (US)
Title of host publicationAIAA Scitech 2019 Forum
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624105784
DOIs
StatePublished - Jan 1 2019
EventAIAA Scitech Forum, 2019 - San Diego, United States
Duration: Jan 7 2019Jan 11 2019

Publication series

NameAIAA Scitech 2019 Forum

Conference

ConferenceAIAA Scitech Forum, 2019
CountryUnited States
CitySan Diego
Period1/7/191/11/19

Fingerprint

Entropy
Heat problems
Stiffness matrix
Uncertainty
Hot Temperature

ASJC Scopus subject areas

  • Aerospace Engineering

Cite this

Song, P., Wang, X. Q., & Mignolet, M. (2019). Maximum entropy structural-thermal uncertainty modeling at the finite element level. In AIAA Scitech 2019 Forum (AIAA Scitech 2019 Forum). American Institute of Aeronautics and Astronautics Inc, AIAA. https://doi.org/10.2514/6.2019-0443

Maximum entropy structural-thermal uncertainty modeling at the finite element level. / Song, P.; Wang, X. Q.; Mignolet, Marc.

AIAA Scitech 2019 Forum. American Institute of Aeronautics and Astronautics Inc, AIAA, 2019. (AIAA Scitech 2019 Forum).

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

Song, P, Wang, XQ & Mignolet, M 2019, Maximum entropy structural-thermal uncertainty modeling at the finite element level. in AIAA Scitech 2019 Forum. AIAA Scitech 2019 Forum, American Institute of Aeronautics and Astronautics Inc, AIAA, AIAA Scitech Forum, 2019, San Diego, United States, 1/7/19. https://doi.org/10.2514/6.2019-0443
Song P, Wang XQ, Mignolet M. Maximum entropy structural-thermal uncertainty modeling at the finite element level. In AIAA Scitech 2019 Forum. American Institute of Aeronautics and Astronautics Inc, AIAA. 2019. (AIAA Scitech 2019 Forum). https://doi.org/10.2514/6.2019-0443
Song, P. ; Wang, X. Q. ; Mignolet, Marc. / Maximum entropy structural-thermal uncertainty modeling at the finite element level. AIAA Scitech 2019 Forum. American Institute of Aeronautics and Astronautics Inc, AIAA, 2019. (AIAA Scitech 2019 Forum).
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