Reduced order modeling of rotating structures featuring geometric nonlinearity with the direct parametrisation of invariant manifolds method
Résumé
The direct parametrisation method for invariant manifolds (DPIM) is applied to rotating structures. Reduced- order models of arbitrary order expansion can be derived for non-autonomous systems of nonlinear differential equations stemming from finite element models of continuous structures. The method is applied to a rotating simplified fan blade with comparisons to full order model simulations.
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