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 …
are developed during last decade. This review has more than 200 references. It is a …
[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 …
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 …
Finite element computation of nonlinear modes and frequency response of geometrically exact beam structures
M Debeurre, A Grolet, B Cochelin, O Thomas - Journal of Sound and …, 2023 - Elsevier
An original method for the simulation of the dynamics of highly flexible slender structures is
presented. The flexible structures are modeled via a finite element (FE) discretization of a …
presented. The flexible structures are modeled via a finite element (FE) discretization of a …
Reduced order modeling of nonlinear microstructures through proper orthogonal decomposition
Abstract We apply the Proper Orthogonal Decomposition (POD) method for the efficient
simulation of several scenarios undergone by Micro-Electro-Mechanical-Systems, involving …
simulation of several scenarios undergone by Micro-Electro-Mechanical-Systems, involving …
[HTML][HTML] Nonautonomous spectral submanifolds for model reduction of nonlinear mechanical systems under parametric resonance
We use the recent theory of spectral submanifolds (SSMs) for model reduction of nonlinear
mechanical systems subject to parametric excitations. Specifically, we develop expressions …
mechanical systems subject to parametric excitations. Specifically, we develop expressions …
Reduced-order modeling of geometrically nonlinear rotating structures using the direct parametrisation of invariant manifolds
A Martin, A Opreni, A Vizzaccaro… - Journal of …, 2023 - jtcam.episciences.org
The direct parametrisation method for invariant manifolds is a nonlinear reduction technique
which derives nonlinear mappings and reduced-order dynamics that describe the evolution …
which derives nonlinear mappings and reduced-order dynamics that describe the evolution …
Nonlinear dynamics of coupled oscillators in 1: 2 internal resonance: effects of the non-resonant quadratic terms and recovery of the saturation effect
This article considers the nonlinear dynamics of coupled oscillators featuring strong
coupling in 1: 2 internal resonance. In forced oscillations, this particular interaction is the …
coupling in 1: 2 internal resonance. In forced oscillations, this particular interaction is the …
Reduced Order Modelling of Fully Coupled Electro‐Mechanical Systems Through Invariant Manifolds With Applications to Microstructures
This article presents the first application of the direct parametrisation method for invariant
manifolds to a fully coupled multiphysics problem involving the nonlinear vibrations of …
manifolds to a fully coupled multiphysics problem involving the nonlinear vibrations of …
[HTML][HTML] 飞行器非线性振动试验与模型修正研究进展
王兴 - 力学进展, 2024 - lxjz.cstam.org.cn
面向质量更轻, 承载能力更强, 柔性变形更大的先进飞行器, 首先对其地面振动试验及使役过程中
观察到的非线性振动现象进行梳理, 归纳出两类典型的非线性结构模型− 局部非线性结构和分布 …
观察到的非线性振动现象进行梳理, 归纳出两类典型的非线性结构模型− 局部非线性结构和分布 …