Nonlinear normal modes of vibrating mechanical systems: 10 years of progress

Y Mikhlin, KV Avramov - Applied …, 2023 - asmedigitalcollection.asme.org
This paper contains review of the theory and applications of nonlinear normal modes, which
are developed during last decade. This review has more than 200 references. It is a …

Direct parametrisation of invariant manifolds for non-autonomous forced systems including superharmonic resonances

A Vizzaccaro, G Gobat, A Frangi, C Touzé - Nonlinear Dynamics, 2024 - Springer
The direct parametrisation method for invariant manifold is a model-order reduction
technique that can be applied to nonlinear systems described by PDEs and discretised, for …

On the latent dimension of deep autoencoders for reduced order modeling of PDEs parametrized by random fields

NR Franco, D Fraulin, A Manzoni, P Zunino - arXiv preprint arXiv …, 2023 - arxiv.org
Deep Learning is having a remarkable impact on the design of Reduced Order Models
(ROMs) for Partial Differential Equations (PDEs), where it is exploited as a powerful tool for …

Direct parametrisation of invariant manifolds for generic non-autonomous systems including superharmonic resonances

A Vizzaccaro, G Gobat, A Frangi, C Touzé - arXiv preprint arXiv …, 2023 - arxiv.org
The direct parametrisation method for invariant manifold is a model-order reduction
technique that can be directly applied to finite element problems in order to derive efficient …

Modelling the Periodic Response of Micro-Electromechanical Systems through Deep Learning-Based Approaches

G Gobat, A Baronchelli, S Fresca, A Frangi - Actuators, 2023 - mdpi.com
We propose a deep learning-based reduced order modelling approach for micro-
electromechanical systems. The method allows treating parametrised, fully coupled …

[HTML][HTML] Neural networks based surrogate modeling for efficient uncertainty quantification and calibration of MEMS accelerometers

F Zacchei, F Rizzini, G Gattere, A Frangi… - International Journal of …, 2024 - Elsevier
This paper addresses the computational challenges inherent in the stochastic
characterization and uncertainty quantification of Micro-Electro-Mechanical Systems …

Nonlinear Normal Modes of Vibrating Mechanical Systems: 10 Years of Progress

K Avramov - asmedigitalcollection.asme.org
This paper contains a review of the theory and applications of nonlinear normal modes,
which have been developed during last decade. This review has more than 200 references …

Jump and Pull-in Instability of a MEMS Gyroscope Vibrating System

Y Zhu, H Shang - Micromachines, 2023 - mdpi.com
Jump and pull-in instability are common nonlinear dynamic behaviors leading to the loss of
the performance reliability and structural safety of electrostatic micro gyroscopes. To achieve …