TODAY – Tuesday 06-Sep-2022, 12:20pm Central
Dr. Kyusic ParkDepartment of Aerospace Engineering and Mechanics, University of Minnesota
Title: Data-driven Reduced Order Modeling and Model Updating of Geometrically Nonlinear Structures Abstract: Reduced order models (ROMs) are a highly efficient alternative to full-order finite element models (FEM) of geometrically nonlinear structures. Many non-intrusive reduced order modeling methods have been developed over the decades to serve as a digital twin of geometrically nonlinear structures, providing accurate dynamic simulations with dramatically reduced computational cost. However, the ROM methods pose some critical issues. The existing methods are sometimes not reliable, and so expensive simulations must be run to check the accuracy and optimality of the ROMs before they can be used confidently. Also, a ROM is typically only valid for a single FEM and does not account for variations in the FEM. Thus, if the design of the structure changes so that the FEM changes in some way, one must recompute the corresponding ROM with a new set of static load-displacement solutions. This also greatly increases the cost of analysis using ROMs, making them less attractive. This study proposes a new data-driven reduced order modeling method for geometrically nonlinear structures, which can resolve these issues while keeping the computational cost reasonable. In particular in this talk, a new data-driven reduced order model based on Gaussian process regression (GPR) will be proposed. The data-driven GPR ROM accurately captures how the ROM coefficients change as the FEM is changed, so that one GPR ROM can predict the behavior of a wide range of systems and also quantify its predictive confidence. This work also opens up new possibilities for efficient and reliable model updating of geometrically nonlinear structures. In this respect, an application of a data-driven ROM to FE model updating (FEMU) is explored. The proposed updating method incorporates a GPR ROM into the model updating procedure, allowing one to use a single GPR ROM to efficiently update the FEM parameters to match actual field data. The computational cost of model updating could be significantly reduced compared to conventional FEMU approaches at the cost of preparing a well-trained data-driven ROM.
For more information, visit the AEM Mechanics Research Seminar website:
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Ellad B. Tadmor,
Professor
Department of
Aerospace Engineering and Mechanics
University of
Minnesota
107 Akerman Hall, 110
Union St SE
Minneapolis, MN
55455, USA
tel: 612-625-6642
fax: 612-626-1558
web: Tadmor
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