### 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 language | English (US) |
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Title of host publication | AIAA Non-Deterministic Approaches |

Publisher | American Institute of Aeronautics and Astronautics Inc, AIAA |

Edition | 209969 |

ISBN (Print) | 9781624105296 |

State | Published - Jan 1 2018 |

Event | AIAA Non-Deterministic Approaches Conference, 2018 - Kissimmee, United States Duration: Jan 8 2018 → Jan 12 2018 |

### Other

Other | AIAA Non-Deterministic Approaches Conference, 2018 |
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Country | United States |

City | Kissimmee |

Period | 1/8/18 → 1/12/18 |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*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.

}

TY - GEN

T1 - Maximum entropy-based uncertainty modeling at the finite element level

AU - Song, Pengchao

AU - Mignolet, Marc

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85044294407&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85044294407&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85044294407

SN - 9781624105296

BT - AIAA Non-Deterministic Approaches

PB - American Institute of Aeronautics and Astronautics Inc, AIAA

ER -