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Development of a Parametric Model Order Reduction Approach for Beam-Based Structures
Technical Paper
2016-01-1857
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
This paper proposes a specific parametric model order reduction (pMOR) scheme for the efficient evaluation of beam based structures. The model to be parameterized is a Finite Element (FE) model that represents a generic network of beams with a number of distinct cross-section types. The methodology considers geometrical parameters that describe the cross-section and the material properties of the beams as the design parameters of interest. An affine representation of the model is derived based on the description of the deformation of a uniform beam. This affine representation can be exploited for the hyper-reduction where the evaluation cost of the system matrices is reduced.
The reduction of the system matrices is obtained through a projection based approach. For a given number of parameter combinations a modal basis is constructed. A global reduced order basis (ROB) is obtained through a principal component analysis of these local bases.
A numerical example shows how the affine representation in conjunction with a suitable projection basis can be used to generate an efficient pMOR simulation.
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Citation
Lappano, E., Naets, F., Vermaut, M., Desmet, W. et al., "Development of a Parametric Model Order Reduction Approach for Beam-Based Structures," SAE Technical Paper 2016-01-1857, 2016, https://doi.org/10.4271/2016-01-1857.Also In
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