Model reduction method: an application to the buckling analysis of laminated rubber bearings
Keywords:
model reduction, hyperelasticity, nite element, stability, bifurcation, continuationAbstract
In this paper, we apply a model reduction method to nd the equilibrium state at nite strain of geometrically complex structures which have periodic properties in one direction and exhibit a non-linear material behavior. This method, based on a nite-element approach, consists in projecting the unknowns elds onto a polynomial basis in order to reduce the size of the problem. This method was combined with a continuation resolution scheme to nd the instabilities of a laminated rubber bearing subjected to compression loading. Comparisons with standard nite-element models show the reliability of the present method.
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