Model order reduction methods for geometrically nonlinear structures: a review of nonlinear techniques
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 …
geometric nonlinearity, with a special emphasis on the techniques based on invariant …
Review on the theories and applications of dynamic condensation and component mode synthesis methods in solving FEM-based structural dynamics
Y Sun, Y Lu, Z Song - Acta Mechanica Solida Sinica, 2023 - Springer
The rapid development of modern science, technology, and industrialization has promoted
the birth of more large and complex engineering structures. When the finite element (FE) …
the birth of more large and complex engineering structures. When the finite element (FE) …
Direct computation of nonlinear mapping via normal form for reduced-order models of finite element nonlinear structures
The direct computation of the third-order normal form for a geometrically nonlinear structure
discretised with the finite element (FE) method, is detailed. The procedure allows to define a …
discretised with the finite element (FE) method, is detailed. The procedure allows to define a …
High-order direct parametrisation of invariant manifolds for model order reduction of finite element structures: application to generic forcing terms and parametrically …
The direct parametrisation method for invariant manifolds is used for model order reduction
of forced-damped mechanical structures subjected to geometric nonlinearities. Nonlinear …
of forced-damped mechanical structures subjected to geometric nonlinearities. Nonlinear …
Model order reduction based on direct normal form: application to large finite element MEMS structures featuring internal resonance
Dimensionality reduction in mechanical vibratory systems poses challenges for distributed
structures including geometric nonlinearities, mainly because of the lack of invariance of the …
structures including geometric nonlinearities, mainly because of the lack of invariance of the …
Frequency combs in a MEMS resonator featuring 1: 2 internal resonance: ab initio reduced order modelling and experimental validation
This paper is devoted to a detailed analysis of the appearance of frequency combs in the
dynamics of a micro-electro-mechanical systems (MEMS) resonator featuring 1: 2 internal …
dynamics of a micro-electro-mechanical systems (MEMS) resonator featuring 1: 2 internal …
Backbone curves, Neimark-Sacker boundaries and appearance of quasi-periodicity in nonlinear oscillators: application to 1: 2 internal resonance and frequency …
Quasi-periodic solutions can arise in assemblies of nonlinear oscillators as a consequence
of Neimark-Sacker bifurcations. In this work, the appearance of Neimark-Sacker bifurcations …
of Neimark-Sacker bifurcations. In this work, the appearance of Neimark-Sacker bifurcations …
On nonlocal mechanics of curved elastic beams
R Barretta, FM de Sciarra, MS Vaccaro - International Journal of …, 2019 - Elsevier
Curved beams are basic structural components of Nano-Electro-Mechanical-Systems
(NEMS) whose design requires appropriate modelling of scale effects. In the present paper …
(NEMS) whose design requires appropriate modelling of scale effects. In the present paper …
Deep learning‐based reduced order models for the real‐time simulation of the nonlinear dynamics of microstructures
We propose a non‐intrusive deep learning‐based reduced order model (DL‐ROM) capable
of capturing the complex dynamics of mechanical systems showing inertia and geometric …
of capturing the complex dynamics of mechanical systems showing inertia and geometric …
Reduced order modelling and experimental validation of a MEMS gyroscope test-structure exhibiting 1: 2 internal resonance
Abstract Micro-Electro-Mechanical Systems revolutionized the consumer market for their
small dimensions, high performances and low costs. In recent years, the evolution of the …
small dimensions, high performances and low costs. In recent years, the evolution of the …