Title
Towards Large Time Simulation Reduction for the Solving of Mechanical Contact (large Scale) Problems: A Robust Control Approach.
Abstract
The evolution of computational resources contributes to the use, more and more frequent, of mechanical contact in numerical models. The main difficulty is to determine rapidly the contact loads which allow balancing two structures, modeled by the finite element method. This problem is reported to be very high costly in terms of time simulation, as soon as a large number of degrees of freedom is considered. This note provides a novel approach based on robust control theory to tackle this problem that, to the best author's knowledge, has been not exploited in previous literature. The main novelty of our proposal is therefore to have put the contact problem in terms of automatic control. Besides, a promising time simulation reduction with respect to existing solutions to this problem may be achieved since, as seen in the paper, the complexity of controller is independent of the number of degree of freedom.
Year
DOI
Venue
2013
10.3182/20130902-3-CN-3020.00183
IFAC Proceedings Volumes
Keywords
Field
DocType
Mechanical contact problem,Large scale system,Robust control theory,Linear Matrix Inequality,Nonlinear systems
Mathematical optimization,Degrees of freedom (statistics),Control theory,Nonlinear system,Control theory,Computer science,Automatic control,Finite element method,Control engineering,Novelty,Robust control,Linear matrix inequality
Conference
Volume
Issue
ISSN
46
20
1474-6670
Citations 
PageRank 
References 
0
0.34
4
Authors
5
Name
Order
Citations
PageRank
Antonio González171.83
J. Lauber227522.74
Thierry-Marie Guerra31918.74
Franck Massa400.34
Thierry Tison500.34