Model order reduction methods for geometrically nonlinear structures: a review of nonlinear techniques
Cyril Touzé,
Alessandra Vizzaccaro,
Olivier Thomas
Abstract:This paper aims at reviewing nonlinear methods for model order reduction of structures with geometric nonlinearity, with a special emphasis on the techniques based on invariant manifold theory. Nonlinear methods differ from linear based techniques by their use of a nonlinear mapping instead of adding new vectors to enlarge the projection basis. Invariant manifolds have been first introduced in vibration theory within the context of nonlinear normal modes (NNMs) and have been initially computed from the modal b… Show more
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