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) …
How to compute invariant manifolds and their reduced dynamics in high-dimensional finite element models
Invariant manifolds are important constructs for the quantitative and qualitative
understanding of nonlinear phenomena in dynamical systems. In nonlinear damped …
understanding of nonlinear phenomena in dynamical systems. In nonlinear damped …
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 …
[HTML][HTML] Reduced order modeling of parametrized systems through autoencoders and SINDy approach: continuation of periodic solutions
Highly accurate simulations of complex phenomena governed by partial differential
equations (PDEs) typically require intrusive methods and entail expensive computational …
equations (PDEs) typically require intrusive methods and entail expensive computational …
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 …
Nonlinear analysis of forced mechanical systemswith internal resonance using spectral submanifolds, Part I: Periodic response and forced response curve
We show how spectral submanifold theory can be used to construct reduced-order models
for harmonically excited mechanical systems with internal resonances. Efficient calculations …
for harmonically excited mechanical systems with internal resonances. Efficient calculations …
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 …
Reduced-order modelling based on non-linear modes
This paper addresses a detailed literature review on non-linear modes of vibration and its
role in obtaining more efficient reduced-order models, as compared to those obtained by …
role in obtaining more efficient reduced-order models, as compared to those obtained by …