scholarly journals A wave-based model reduction technique for the description of the dynamic behavior of periodic structures involving arbitrary-shaped substructures and large-sized finite element models

2015 ◽  
Vol 101 ◽  
pp. 1-14 ◽  
Author(s):  
J.-M. Mencik ◽  
D. Duhamel
Author(s):  
Stéphane Lejeunes ◽  
Adnane Boukamel ◽  
Bruno Cochelin

In this paper we present a model reduction technique, to find the equilibrium state at finite strain of tridimensional structures which have, invariant properties in a direction. Based on finite-elements formulation, this technique consists in the projection of the unknows fields on a polynomial basis in the purpose to reduce the problem dimension. A finite-element is developped for the case of nearly-incompressible visco-hyperelastic behavior for the study of an elastomeric based beam structure.


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