Solving Magnetodynamic Problems via Normal Form Method

Article Engineering, Mechanical

Model order reduction based on direct normal form: application to large finite element MEMS structures featuring internal resonance

Andrea Opreni et al.

Summary: The method detailed in the text is based on direct normal form computation for large FE models, enabling operation directly from physical space and avoiding the computation of complete eigenfunctions spectrum. Explicit solutions provided facilitate a fully non-intrusive reduction method.

NONLINEAR DYNAMICS (2021)

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Review Engineering, Mechanical

Model order reduction methods for geometrically nonlinear structures: a review of nonlinear techniques

Cyril Touze et al.

Summary: This paper reviews nonlinear methods for model order reduction in structures with geometric nonlinearity, with a special focus on techniques based on invariant manifold theory. It first discusses the historical development and specific applications of invariant manifolds, and then addresses the specific case of structures discretised with the finite element method. The paper concludes by detailing recent developments in direct computation of reduced-order models relying on invariant manifolds theory.

NONLINEAR DYNAMICS (2021)

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Article Engineering, Mechanical