We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Projection-based model reduction for contact problems.
- Authors
Balajewicz, Maciej; Amsallem, David; Farhat, Charbel
- Abstract
To be feasible for computationally intensive applications such as parametric studies, optimization, and control design, large-scale finite element analysis requires model order reduction. This is particularly true in nonlinear settings that tend to dramatically increase computational complexity. Although significant progress has been achieved in the development of computational approaches for the reduction of nonlinear computational mechanics models, addressing the issue of contact remains a major hurdle. To this effect, this paper introduces a projection-based model reduction approach for both static and dynamic contact problems. It features the application of a non-negative matrix factorization scheme to the construction of a positive reduced-order basis for the contact forces, and a greedy sampling algorithm coupled with an error indicator for achieving robustness with respect to model parameter variations. The proposed approach is successfully demonstrated for the reduction of several two-dimensional, simple, but representative contact and self contact computational models. Copyright © 2015 John Wiley & Sons, Ltd.
- Subjects
DESCRIPTIVE geometry; ENGINEERING graphics; GENERATION of geometric forms; ISOMETRIC projection; REVOLUTIONS (Descriptive geometry)
- Publication
International Journal for Numerical Methods in Engineering, 2016, Vol 106, Issue 10, p644
- ISSN
0029-5981
- Publication type
Article
- DOI
10.1002/nme.5135