Stephan Ritzert, Jannick Kehls, Stefanie Reese, Tim Brepols
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引用次数: 0
Abstract
In this work, we present a model-order reduction technique for nonlinear structures assembled from components. The reduced- order model is constructed by reducing the substructures with proper orthogonal decomposition and connecting them by a mortar-tied contact formulation. The substructure projection matrices are computed by the proper orthogonal decomposition (POD) method from snapshots computed on the substructure level. The snapshots are computed using Latin hypercube sampling based on a parametrization of the boundary conditions. In numerical examples, we show the accuracy and efficiency of the method for nonlinear problems involving material and geometric nonlinearities as well as non-matching meshes. The method can predict solutions of new systems with varying boundary conditions and material behaviors.
期刊介绍：
The International Journal for Numerical Methods in Engineering publishes original papers describing significant, novel developments in numerical methods that are applicable to engineering problems.
The Journal is known for welcoming contributions in a wide range of areas in computational engineering, including computational issues in model reduction, uncertainty quantification, verification and validation, inverse analysis and stochastic methods, optimisation, element technology, solution techniques and parallel computing, damage and fracture, mechanics at micro and nano-scales, low-speed fluid dynamics, fluid-structure interaction, electromagnetics, coupled diffusion phenomena, and error estimation and mesh generation. It is emphasized that this is by no means an exhaustive list, and particularly papers on multi-scale, multi-physics or multi-disciplinary problems, and on new, emerging topics are welcome.
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