A numerical package for model order reduction of large dimensional finite element systems of nonlinear vibrating structures based on invariant manifold theory
Résumé
Dimensionality reduction through parametrisation of the system motion along a low dimensional invariant-based span of the phase space represents the most efficient technique for deriving reduced order models (ROM) of structures vibrating with large amplitudes. In this work we present the first release of an efficient software for deriving reduced models of structures based on the Direct Parametrisation of Invariant Manifolds (DPIM). The package exploits an algorithmic implementation of the method tailored for mechanical systems, hence achieving low memory consumption and unprecedented speed. Examples of large scale systems of industrial interest are shown and comparisons with experimental data and full order numerical simulations are reported.
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