Maximum entropy-based uncertainty modeling at the elemental level in linear structural and thermal problems

  • Pengchao Song
  • Marc P. MignoletEmail author
Original Paper


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 concept. 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. 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.


Uncertainty modeling Linear finite element Maximum entropy 



The financial support of this work by the Air Force Multi University Research Initiative contract FA9550-15-1-0038 with Dr. Jean-Luc Cambier as Technical Monitor is Gratefully acknowledged.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.SEMTE Faculties of Mechanical and Aerospace EngineeringArizona State UniversityTempeUSA

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