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 language | English (US) |
|---|---|
| Title of host publication | AIAA Scitech 2019 Forum |
| Publisher | American Institute of Aeronautics and Astronautics Inc, AIAA |
| ISBN (Print) | 9781624105784 |
| DOIs | |
| State | Published - Jan 1 2019 |
| Event | AIAA Scitech Forum, 2019 - San Diego, United States Duration: Jan 7 2019 → Jan 11 2019 |
Publication series
| Name | AIAA Scitech 2019 Forum |
|---|
Conference
| Conference | AIAA Scitech Forum, 2019 |
|---|---|
| Country | United States |
| City | San Diego |
| Period | 1/7/19 → 1/11/19 |
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ASJC Scopus subject areas
- Aerospace Engineering
Cite this
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 proceeding › Conference contribution
}
TY - GEN
T1 - Maximum entropy structural-thermal uncertainty modeling at the finite element level
AU - Song, P.
AU - Wang, X. Q.
AU - Mignolet, Marc
PY - 2019/1/1
Y1 - 2019/1/1
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=85069002160&partnerID=8YFLogxK
U2 - 10.2514/6.2019-0443
DO - 10.2514/6.2019-0443
M3 - Conference contribution
SN - 9781624105784
T3 - AIAA Scitech 2019 Forum
BT - AIAA Scitech 2019 Forum
PB - American Institute of Aeronautics and Astronautics Inc, AIAA
ER -