This paper aims at reviewing nonlinear methods for model order reduction in structures with
geometric nonlinearity, with a special emphasis on the techniques based on invariant …

The direct parametrisation method for invariant manifolds is a nonlinear reduction technique
which derives nonlinear mappings and reduced-order dynamics that describe the evolution …

An accurate and efficient formulation is favorable for dynamic analysis and control in the
field of the flexible multibody system. This paper proposes a general nonlinear order …

In this work parametric reduced order models (pROMs) for cracked shells are developed
and applied to crack detection problems. Mesh morphing is employed to allow for …

In this paper we present a density based topology optimization approach to the synthesis of
industrially relevant MEMS resonators. The methodology addresses general resonators …

Nonlinear reduced-order models (NLROM) have been developed to predict the
geometrically nonlinear behaviour of structures with low computational cost. NLROMs built …

We present an enhanced version of the parametric nonlinear reduced-order model for
shape imperfections in structural dynamics we studied in a previous work. In this model, the …

This work introduces a surrogate modeling strategy, based on diffusion maps manifold
learning and artificial neural networks. On this basis, a numerical procedure is developed for …

This paper focuses on extending coupled structural–thermal reduced order modeling
approaches for the prediction of the nonlinear geometric response of heated structures to …

In this paper, an improved nonlinear reduced-order modeling technique capable of
describing the parameterized shape defect is presented. In the proposed framework, a set of …